I am just a popular maths fan and have an interest in Fermat. I understood maybe 5% of Kenneth Ribet’s lecture but I found the whole thing engrossing and fascinating. His ability to keep people like me interested when most of it is incomprehensible is a massive credit to his knowledge and presentation skills. I have never heard someone speak with such clarity and fluidity. Thank you.
richard slater Thank you for that comment. As another popular math(s) fan at a similar level, my reaction to Ribet's lecture was the same as yours. The only thing I would add is that in addition to being an unusually fine presenter, he also comes off as a genuinely nice person.
*****#AEPDF_Hided** because are **#America** 'ns ?*** ***Fermat's Last Theorem Proof for n=3 CAN'T send Fermat's Last Theorem in FUNDAMENTAL for Science and Mathematics , because need to proof Modular State for every n's as powers WHEN ISN'T CORRECT demonstrated even for n = 3 (luck at Fermat - Murgu Quadruplets ) when AEPDF sent it in FUNDAMENTAL via multiple , accurate, all **#Science_Rigor** and Clarity.*** Mr. Willes & Ribet "#Fermat_Last_Theorem_Proof_Mathematics_Ambiguity (I never said is a #Science_Scam) which can send Science also in #Science_Ambiguity and are already acting into #Astrophysics and #Elementary_Particles_Theory then even into #String_Theory and #Quantum_Theory. We need Critics back in Science before to be too late! By #Science_Saint_Day_2024_September_24 #Fermat_Last_Theorem_Fundamental and not as a #Proof for n=111 and using #AEPDF also can to be demonstrated #Fermat_Generalized_Fundamental also which mean we are in the front of the biggest Humanity Science & Culture Thesaurus - ***America Earth Proud Day fundamentals*** then *****#Pledge_For_AEPDF_Rights_To_School***** We have a lot of work to do for a #Good_Morning_Future ***America Earth Proud Day Fundamentals*** are #hopes, I didn't promised more then work under senses of HOPES! But more then it , there are ABSOLUTE TRUTH which increase THE HOPE chance. Mr. Willes and #Ribet #Proof_Fermat_Last_Theorem mean #Mathematics_Ambiguity and I try by 6 years to explain it. I used #Fermat_Murgu_Quadruplets which are coming with any kind of Modularity (not with sharing Pizza at presentation of proof which neither Modularity for power n=3 didn't proof really) and I demonstrated that, using #Math_Ambiguity you can use Fermat - Murgu Quadruplets leading to a #False_Proof . But , also I was coming with #Murgu_Quadruplets for power n=2 which are coming also with an modularity ,,.. THEN? Modularity for Fermat Equations Minimums are another kind - is #Functional_Modular and for every Power with proper functional and can't #Generalize for every n's and a uniform modular can't exclude 0. Function used also in Proof do not describe functional real function of Fermat Equations Minimums. You can test it. #Math_Ambiguity cam be a Danger for Science if we will not avoid it in time. Nobody can say I loss My honesty, I , by then contacted #Abel_Institution, , #Nobel_Institution and #Mathematics_Circles , and now are 6 years from. #Science_Dedicated_To_Generate_Volatile_VIP 's ? is weakening Science as we see after editing genetics Dinosaurs , we aren't able to fight #Covid . ***America Earth Proud Day fundamentals*** to be introduced and #Taught in Schools not only because express #Absolute_Truth , but also can contribute at future Science and Culture evolving! Instead , are hided via Internet Filters by 6 years, maybe because are coming from AMERICA.*** ***America Earth Proud Day Fundamentals*** THE BIGGEST EVER "HUMANITY SCIENCE & CULTURE THESAURUS" - not change Mathematics but COMPLETE it with its new STRUCTURAL LOGIC OF FUNCTIONAL *BASIC OF FUNCTIONAL* , I will say a new domain in Math #FUNCTIONAL_MATHEMATICS or #logic_functional. ***A new Science Era began into 2015 September 24! Forgot **#Super_Symmetry** , theory of **#Dead_Universe** , forgot **#Theory_Of_Every_Thing** which fall in **#Virtual** to help **#Artificial_Intelligence** to fool **#Civil_Society** with its **#Dumb_Robotic_Forms**!*** #God_Particle costed #America 50 000 000 $ said any people , #Truth_Or_False - nobody meet this particle anyway. Mathematicians, you ear any about , #Murgu_Prime_Numbers or Pythagorean Prime Numbers (Integers which can't be write as z^2 = X^2 + Y^2 (as sum of another's 2 power 2))?? You think, like my, are more important then Prime Numbers, because are at the base of functional and then offer logic of Functional? You see AEPDF brought a lot also for #Math_Future and to not mention #Fermat_Murgu_Theorem (Fermat Extension) and #Paradox of Paradoxes #Ion_Murgu_Circles_Paradox. ***America Earth Proud Day Fundamentals*** _Brought a lot of Work for Science and Scientist for future, for which I will say Sorry!, but also a lot of HOPE(S). But now are already 6 years from 2 absolute truths are not taught in Schools because , because , because ..??? #Book_Of_Millennium_III ! BECAUSE EXTRACTED 2 NEW ABSOLUTE TRUTHS FROM SHADOW OF KNOWLEDGE AND NOT OBSERVATIONAL (#How_Apple_fall_On_Mars) but by #Logic_Of_Truth and #Mathematics_Rigor : ***"Book of Millennium III"*** ***"America Earth Proud Day Fundamentals"** is under 2 Copyrights by 2015: 1. Under "Humanity Natural Law Of Copyright " because is an Absolute New Discovery extracted into #Saint_Day_2015_September_24 from #Shadow_Of_Knowledge. 2 USA ISBN : 978-1-63972-043-9. is coming and is The Book which to be in every Scientist Library , every University Library because is coming with a new Logic , Analytics METHODS in Science . Isn't Changing #Mathematics , #Physics or #Logic is completing all and to hope is a new Step into #Good_Morning_Future revealing #Universal_Knowledge .Down, a short presentation: ***For 400 years Fermat's Last Theorem was a big provocation , maybe the biggest ever one, excluding Fermat - Murgu Theorem , for Science Community, but begin with 2015 September 24 , Fermat's Last Theorem is a very important FUNDAMENTAL in Science Stated via 2 all Science rigor Analytic Methods*** ***By 6 years I am waiting critics about using "Ion Murgu - The Lost Fundamental" Identities for Analytic Method "Fermat - Murgu Impossible Equations" which sent Fermat's Last Theorem in FUNDAMENTAL, even if I get second Method for (Ion Murgu - Double False Redundancy Of Truth coupled with Euler - Murgu Equations 1=1 to can explain all about. But for sure "The Book Of Millennium III", "America Earth Proud Day Fundamentals" will do it*** ***Under **#Humanity_Natural_Law_Of_Copyright** FERMAT get HIS rights to a FUNDAMENTAL IN SCIENCE BECAUSE by 7 years AEPDF demonstrate via 2 Methods with respect for rigor, accuracy and fort all n's (2 to infinity) Fermat stated an absolute truth.*** #USA #USA_Proud #Proud_USA for The Biggest contribution anyone make ever to #Pledge_For_AEPDF_Rights_To_Schools **America Earth Proud Day Fundamentals*** are #hopes, I didn't promised more then work under senses of HOPES! But more then it , there are ABSOLUTE TRUTH which increase THE HOPE chance. ***Fermat - Murgu Quadruplets demonstrated for n=3 we have any modular comportment , but is functional one heavy to follow for a PROOF, and bring ambiguity. You can saw it if make a Analyze also for Murgu Quadruplets for n=2 which point for a modularity also. For a **#Mathematician** it is easy to see Fermat - Murgu Quadruplets define a Modular Infinity Divergent Conjecture for Fermat Equations instead of Proof Attached Function which mimicking a continuity. Then for power 2 we have also a specific modular comportment. SORRY!*** ***With humble honesty and respect, I announce you : Fermat's Last Theorem is Fundamental in Science by near 7 years*** ***America Earth Proud Day Fundamentals*** BROUGHT MIRACLES IN SCIENCE: 1. Get Basic of Functional in Mathematics. 2. Sent Fermat's Last Theorem in Fundamental via 2 accurate and general methods. 3. Get Math Logic Ambiguity via #Ion_Murgu_Double_False_Redundancy_Of_Truth. 4. Integrated Irrational field via Fermat Equations. 5. New accurate Algebraic Groups for Linear Algebra correct properties. 6. Blessed Pythagorean Triples as Fermat's Last Theorem exceptions which confirm the rule. 7. Pythagoras Theorem from Fermat's Last Theorem. 8. Pythagorean Prime Numbers a beauty and more*** 9. Get Euler - Murgu Equations 1 =1 (first equations of Recursive Stability of Form) which in connection with Ion Murgu Double False Redundancy Of Truth demonstrated also Fermat was right. 10. Get Fermat -Murgu Quadruplets , a new important Group in Linear Algebra but also connected with Murgu Quadruplets demonstrated ambiguity of Modular for Fermat Equations. 11. Fermat - Murgu Theorem a big provocation for #Linear_Algebra_Functional maybe a new Math domain? 12. A LOT MORE .. ***Into SCIENCE Saint Day 2015 September 24 *A M E R I C A* , *U S A*, brought , via Physicist Ion Murgu From Ohio, the biggest Contribution ever anybody make to Humanity Science And Culture Thesaurus*** *****AMERICA EARTH PROUD DAY FUNDAMENTALS***** "www.climaticdisorder.com/hstp/"
People who understand 5%of Ken Ribet s lecture ( whithout being postgraduates in Number Theory) are strongly encouraged to pursue a career in Maths.Ordinary Proffesors in fields that are not Eliptical Curves and Number Theory don't understand more than 1/ 1000 of the real stuff Jen Ribet is talking about.
@@GoogleReview-k1f I have never heard Ribet claim he proved Fermat. As far as I know, he wasn’t working on it at all, certainly not before Wiles proof. He provided a significant step in the process that pushed Wiles towards the Tanyama Shimura conjecture, but that still left an enormous amount to do.
Thanks for an extremely efficient delivery. The principles of the different elements relevant to the proof, and how they connect, are for the first time clear to me, both part by part, and as a whole. And that is quite significant, and says a lot about the lucidity of the speech. 4×23 is of course not 96. But when explained as 4×23, then 92 is readily deduced.
Ken Ribet deserves far more accolade for the proof of the Fermat’s Last Theorem than he has been given credit for. His proof of the ε-conjecture (originally proposed by Jean-Pierre Serre), and now known as Ribet’s theorem, is not only an indispensable bridge to the final proof, but has so far proven to be the only path. Not to take anything away from Andrew Wiles’ brilliant work, or Ribet’s fundamental contributions, but I believe the proof of the Fermat’s Last Theorem should really be regarded as a true collaborative effort also involving others like Barry Mazur (Torsion theorem, Galois deformations, as well as other insights and suggestions), Nick Katz (for having aptly identified the insurmountable problem in Wiles’ original approach), and Richard Taylor (for having helped Wiles construct the final correct approach).
Ribet absolutely deserves accolades, but when you say it 'has so far proven to be the only path,' what about Ribet's slide at 51:29 which he skipped over ("Avoiding Ribet and Tunnell")? Maybe this argument still uses Ribet's techniques even if it technically doesn't rely directly on Ribet's theorem?
Wiles solved the problem. Finished. Done. Ken Ribet doesn't get partial credit for making numerous talks where he does his best to claim glory for not solving the problem. It doesn't work that way.
@@GoogleReview-k1f It wasn't done until Wiles and Taylor finished it off. So by your logic, Wiles shouldn't get any partial credit for his single-author paper.
Exponentiation is just another aspect-version of e-Pi-i sync-duration divergence superimposed _with convergence, projection-drawing according to empirical relative-timing differentiates=> integrated metastability.., aka number theory, here-now-forever in this Eternity-now Interval of Superspin Modulation =Logarithmic Time Duration Timing, or, tracking/tracing inside-outside holographic positioning presence, or, condensation density-intensity = probabilistic interference.., or what it is, and imaginable mathematically. GD&P parallel coexistence relative-timing recognition Apprenticeships training preferred.
Because : *****#The_Best_Ever_Humanity_Logical_Science_Discovery***** *****#Best_Ever_HSCUT_Components_AEPDF***** where *****#HSCUT** = *** *****#Humanity_Science_And_Culture_Universal_Thesaurus***** *****#America_Earth_Proud_Day_Fundamentals***** #7_Years_Hide by #Civil_Society_Institutions - #Science_Institutions via - I can’t say exactly if - #Microsoft_Hackers, #Facebook_Hackers , #Oracle_Hackers, or #Oracle_Hackers or #Intel_Hackers ! A lot of People , #Scientists, #Mathematicians yet are working desperate for *****#Fermat_Last_Theorem***** as a intuitive answer to an inexact #Proof even for n=4. *****#BUT***** *****#Boyss**** , Fermat’s Last Theorem is #Fundamental in #Science by #2015_September_24 by #Ion_Murgu_From_Ohio . #Fermat_Last_Theorem_Certified in #Accurate, all Science rigor for n [2, #Infinity ) and sent in fundamental , keep also it’s old name as respect for #Fermat! Thanks for helping My as AEPDF to take theirs place into #HSCUT ! See “www.climaticdisorder.com/hstp/” and don’t asc for what “#Climatic_Disorder_DOTCOM” . I thought the fight against all climatic disorders will be to us a duty for future as a #Good_Morning_Future for Eternity!
I would have felt better Dr Ribet had given a bit more credit to Andrew Wiles for proving Fermat’s last theorem. The world badly needs heroes and Wiles is one of mine.
@@georgeice4389 dude shut up. You are greatly undermining and underestimating the significance of Wiles' work, which only demonstrates that *you* are the one lacking in the means of understanding mathematics. With a 5 second google search, you can see clear as day all the people involved in proving Fermat's Last Theorem. You think this is some matter of elementary algebra? Bruh, you got way more to learn, assuming the comprehension level isn't too much for you. Stop texting in big blocky letters on TH-cam of all places, and start speaking civilly and maturely. You talk as though you're above everyone, you missed the user's point entirely because of your narrow-mindedness and inability to stop being so self-righteous. You're the one who's naive for believing Fermat had a proof --- lots of his work were originally conjectures that were proven by other mathematicians. Your puerile short-sightedness and ill mannerisms are what taints this world, and if I didn't know better, someone like you would spoil my respect for mathematics and Andrew Wiles' efforts. I wonder what you have proven in life, because thus far you only seem to prove how much of a pitiable childish character you can come off to be.
@@georgeice4389 do you even know what audience at which the lecture was specifically targeted? what clickbait actually means? have you even seen the paper??? If you want some good ole fashion algebra, take a look at infinite descent or sophie germain's proof of FLT for n=3. If you want the real deal, have a look at profinite groups, infinite galios groups and their internal structure, complete local rings, so then you can rigorously uncover galois representations of elliptic curves and modular forms, and their other invariants and semistable representations... if you have any idea of group theory, field theory, galois cohomology and deformation theory. I bet it sounds intimidating. This is what it takes to rigorously prove fermat's last theorem. The lecture was just a lecture, it didn't provide a rigorous proof, that's just a bit of clickbait. How can you expect such a proof to be summed up in a lecture anyways. If it is so easy, why don't you send a proof to me and to arXiv.
@@georgeice4389 oh ok. have fun being presumptuous and ignorant. i legit gave u a whole list of the math behind FLT and you ignored all that and cherrypicked by telling me where your "proof" can be found, like that would add any legitimacy to your argument. you missed the whole substance of my argument and yet you're lecturing me about beating around the bush and how to supposedly debate --- i mean, you brought this up on youtube of all places lmao. you call me an amateur and act as though you know how im reacting, ur so full of yourself it hurts. you're right in that you should expect people to despise you. if you wanna show how knowledgeable you are in math, start talking more math and less about useless nitpicky stuff. mathematicians of the highest class don't bore themselves with little matters.
***By 7 years Fermat's Last Theorem was solved for all cases (powers n=2 to n=infinity), instead of any proofs for any n's, and it offer to **#Fermat** HIS dignity and honor to Science with a FUNDAMENTAL in SCIENCE*** **Now I am here, also, for a pledge: **#Our** **#Space_Activity** will need **#Atomic_Energy** as a reserve , then, pledge against **#Atomic_Bombs** which is eating its future!** #USA #USA_Proud for The Biggest contribution anyone make ever to #Humanity_Science_And_Culture_Thesaurus ! ***America Earth Proud Day Fundamentals*** (BIGGEST EVER HUMANITY SCIENCE & CULTURE THESAURUS ) & The biggest ever 2 Discovery, REVEALED Hided Absolute Truths , REVEALED Cultural , Logical AND even Philosophical future development because: - blessed Pythagorean Triples as Fermat's Last Theorem as blessed exceptions offering to this group in Math new important properties. - Integrated Irrational Field , but more then that defined it in maybe correct mode. - Brought basic of Functional via #Ion_Murgu_Math_Millennium_Equations , #Mathematics_Functional begin here. - closed a 400 years Science Torment, solving with clarity, accuracy , all science and logical rigor Fermat's Last Theorem SENDING IT in Fundamental. - closed a 400 years Science Torment, by two accurate, clear, all science rigor via 2 Methods: 1. Fermat - Murgu Impossible Equations . 2. Ion Murgu - Double False Redundancy Of Truth coupled with Euler - Murgu Equations 1 Equal 1. -By Now, #Mathematics_Is_Science and ever by now, #Science_Need_Math_For_Its_logic, with rigor and accuracy included. Not a Proof solved Fermat's Last Theorem, a proof is a proof only and for n=3 is a #Math_Logical_Ambiguity . Instead. with accuracy, clarity, absolute rigor and for general cases, DID IT : ***America Earth Proud Day Fundamentals*** (after 40 years of crazy work) - if I am addressing also to #Physics_And_Physicists is because STARTED FOR Physics (and cost my 40 years of crazy work , because make an calculus error , then) and I hope and sure #Physics will explode in good sense - #Good_Morning_Future. Sorry, if it will change any into #Astrophysics , #Cosmology, and even ... , but , if, will be for god of Science. *****#Mathematics_Ambiguity** and Imposed Conventional offered to any people a chance to scare Civil Society with a super new Civilization Artificial Intelligence. An hard closure added to a lot of another kind, with chance to block a Cultural evolving*** ***Fermat - Murgu Quadruplets demonstrated for n=3 we have any modular comportment , but is functional one heavy to follow for a PROOF, and bring ambiguity. You can saw it if make a Analyze also for Murgu Quadruplets for n=2 which point for a modularity also. For a **#Mathematician** it is easy to see Fermat - Murgu Quadruplets define a Modular Infinity Divergent Conjecture for Fermat Equations instead of Proof Attached Function which mimicking a continuity. Then for power 2 we have also a specific modular comportment. SORRY!*** ***After 7 years of waiting as America 2015, 2 fundamentals to be recognized by **#Science_Society** , yet I refuse to think **#Conspiracy_Theory** is infiltrated here, or started here as people said via mediocre IT - hackers which instituted **#Censure**. And it because I hope they will understood we are not so high in **#High_Tech** like we hoped, and it will block Humanity Cultural evolution and will send us back in **#Magical***** ***With humble honesty and respect, I announce you : Fermat's Last Theorem is Fundamental in Science by near 7 years*** By 7 years I repeat - here isn't about a proof - here is Fermat's Last Theorem SOLVED FOR GENERAL CASES for n 2 to infinity - and it give to Fermat's Last Theorem THE RIGHT TO FUNDAMENTAL IN SCIENCE. ===When Newton wrote law of gravitation him called friends around of world & Mars, to ask if #Apple fall in the same mode everywhere?=== A fundamental need to be fulfilled in #Absolute_Truth! When speak about Cognition must to luck for absolute truth. ***America Earth Proud Day Fundamentals*** brought miracles in Science: 1. Get Basic of Functional in Mathematics. 2. Sent Fermat's Last Theorem in Fundamental via 2 accurate and general methods. 3. Get Math Logic Ambiguity via #Ion_Murgu_Double_False_Redundancy_Of_Truth. 4. Integrated Irrational field via Fermat Equations. 5. New accurate Algebraic Groups for Linear Algebra correct properties. 6. Blessed Pythagorean Triples as Fermat's Last Theorem exceptions which confirm the rule. 7. Pythagoras Theorem from Fermat's Last Theorem. 8. Pythagorean Prime Numbers a beauty and more*** THEN #Biggest_USA_Science_And_Culture_Thesaurus but also #Biggest_Humanity_Science_And_Culture_Thesaurus To understood it I will say : Fermat Equations are mirroring between negative and positive axle, and problem into [-1, 1] is reflecting in complex calculus too and denoting the comportment between [-n,n], but also normally reflecting property of zero and unity over multiply.I am very sorry that #Fermat_s_Last_Theorem_Proof_Team_Fall to demonstrate FLT is fundamental and fall over the proof too! ***THE BIGGEST HUMAN DISCOVERY EVER - TWO FUNDAMENTALS BROUGHT ALSO NEW HOPES INTO SCIENCE LOGIC*** #State_Of_Fundamental_Absolute_Truth #USA #America #America_University #USA_Science *** For My , and by near 7 years, only for My, down here are The Best Discovery in #Physics, and I hope for all #Scientists also soon after understanding it , 2 fundamentals which can revolutionize #Physics_Logic , but for #Mathematics are Beauty which discovered #Basic_Of_Functional_In_Mathematics and eroded #Mathematics_Logic_Ambiguity via #Ion_Murgu_Double_False_Redundancy_Of_Truth*** #Duck boy, #Facebook , #Google , #CISCO , #Verizon , etc. join to #Climatic_Disorder_DOTCOM to try to fight against Climatic disorders which can send #Earth to #Climate_Change and Climatic change either. We already confront 2 dangerous disorders , Climate Disorder at dangerous state, and Biologic_Disorder which put #Humanity into Danger of Induced_Ephemeral and can to revers our evolution! ***Into SCIENCE Saint Day 2015 September 24 *A M E R I C A* , *U S A*, brought , via Physicist Ion Murgu From Ohio, the biggest Contribution ever anybody make to Humanity Science And Culture Thesaurus*** *****AMERICA EARTH PROUD DAY FUNDAMENTALS***** ***The Book Of Millennium - "AMERICA Earth Proud Day Fundamentals" finish time and ready , Now work for **#Science_Fiction_Book** until prov contrary - "Inerton or The Tear Of Geea" and **#IonMurguCUTandPT345Resonator** soon*** First a word for a real Physicist : "For a Physicist a Mass isn't any to eat , isn't meal at all." - #Ion_Murgu_From_Ohio_USA . ***This is coming from **#Physics** , and I hope will bring a lot there first, then **#Physicist** luck and learn and research in logic , maybe we will get any tools for! Also now **#Mathematics** is reunite with Physics and **#Chemistry** for a **#Good_Morning_Future** in Science***This was getting from **#Physics** because My initial scope wasn't Fermat's Last Theorem but instead a **#Powers_Analyze** for connecting to a Math_Physics_Functional and by sending Fermat's Last Theorem into Fundamental in Science vi an accurate, general cases inclusion, rigor and wearing **#Absolute_Truth** I did it and I get for what I was lucking more then 40 years ago when I trusting my precision calculus I lost this **#Beauty_Math_Propriety** of **#Powers_Functional** and for sure I get also what I was lucking for for **#Physics** . *****facebook.com/.../4884.../posts/2390956387701559/*** ***#America_Earth_Proud_Day_Fundamentals #Biggest_Science_Contribution_Ever anybody make in #Mathematics_And_Science and even #Culture , 2 Absolute_Truth_Science_Fundamentals in #USA_Saint_Day_2015_September_24 which #Named_America_For_Eternity #America #USA and come whit a important #University_Challenge , #Academy_Challenge as #Mathematics_Millennium_Prize #Fermat_Murgu_Theorem not to change #Mathematics or #Science , or #Physics or #Linear_Algebra but to complete it with correct #Mathematics_Functional and even #Approximation #Gaussian_Approximation_Era and #Science_Logic***I am sorry Fermat's Last Theorem Proof Team was going in a wrong way: function used included a doubted approximation and used a false modular method instead of a multi functional one. AND A PROOF NEVER into accuracy and rigorous Science Logic can't declare any FUNDAMENTAL. #State_Of_Fundamental_Absolute_Truth . "www.climaticdisorder.com/hstp"
*****#AEPDF_Hided** because are **#America** 'ns ?*** ***Fermat's Last Theorem Proof for n=3 CAN'T send Fermat's Last Theorem in FUNDAMENTAL for Science and Mathematics , because need to proof Modular State for every n's as powers WHEN ISN'T CORRECT demonstrated even for n = 3 (luck at Fermat - Murgu Quadruplets ) when AEPDF sent it in FUNDAMENTAL via multiple , accurate, all **#Science_Rigor** and Clarity.*** Mr. Willes & Ribet "#Fermat_Last_Theorem_Proof_Mathematics_Ambiguity (I never said is a #Science_Scam) which can send Science also in #Science_Ambiguity and are already acting into #Astrophysics and #Elementary_Particles_Theory then even into #String_Theory and #Quantum_Theory. We need Critics back in Science before to be too late! By #Science_Saint_Day_2024_September_24 #Fermat_Last_Theorem_Fundamental and not as a #Proof for n=111 and using #AEPDF also can to be demonstrated #Fermat_Generalized_Fundamental also which mean we are in the front of the biggest Humanity Science & Culture Thesaurus - ***America Earth Proud Day fundamentals*** then *****#Pledge_For_AEPDF_Rights_To_School***** We have a lot of work to do for a #Good_Morning_Future ***America Earth Proud Day Fundamentals*** are #hopes, I didn't promised more then work under senses of HOPES! But more then it , there are ABSOLUTE TRUTH which increase THE HOPE chance. Mr. Willes and #Ribet #Proof_Fermat_Last_Theorem mean #Mathematics_Ambiguity and I try by 6 years to explain it. I used #Fermat_Murgu_Quadruplets which are coming with any kind of Modularity (not with sharing Pizza at presentation of proof which neither Modularity for power n=3 didn't proof really) and I demonstrated that, using #Math_Ambiguity you can use Fermat - Murgu Quadruplets leading to a #False_Proof . But , also I was coming with #Murgu_Quadruplets for power n=2 which are coming also with an modularity ,,.. THEN? Modularity for Fermat Equations Minimums are another kind - is #Functional_Modular and for every Power with proper functional and can't #Generalize for every n's and a uniform modular can't exclude 0. Function used also in Proof do not describe functional real function of Fermat Equations Minimums. You can test it. #Math_Ambiguity cam be a Danger for Science if we will not avoid it in time. Nobody can say I loss My honesty, I , by then contacted #Abel_Institution, , #Nobel_Institution and #Mathematics_Circles , and now are 6 years from. #Science_Dedicated_To_Generate_Volatile_VIP 's ? is weakening Science as we see after editing genetics Dinosaurs , we aren't able to fight #Covid . ***America Earth Proud Day fundamentals*** to be introduced and #Taught in Schools not only because express #Absolute_Truth , but also can contribute at future Science and Culture evolving! Instead , are hided via Internet Filters by 6 years, maybe because are coming from AMERICA.*** ***America Earth Proud Day Fundamentals*** THE BIGGEST EVER "HUMANITY SCIENCE & CULTURE THESAURUS" - not change Mathematics but COMPLETE it with its new STRUCTURAL LOGIC OF FUNCTIONAL *BASIC OF FUNCTIONAL* , I will say a new domain in Math #FUNCTIONAL_MATHEMATICS or #logic_functional. ***A new Science Era began into 2015 September 24! Forgot **#Super_Symmetry** , theory of **#Dead_Universe** , forgot **#Theory_Of_Every_Thing** which fall in **#Virtual** to help **#Artificial_Intelligence** to fool **#Civil_Society** with its **#Dumb_Robotic_Forms**!*** #God_Particle costed #America 50 000 000 $ said any people , #Truth_Or_False - nobody meet this particle anyway. Mathematicians, you ear any about , #Murgu_Prime_Numbers or Pythagorean Prime Numbers (Integers which can't be write as z^2 = X^2 + Y^2 (as sum of another's 2 power 2))?? You think, like my, are more important then Prime Numbers, because are at the base of functional and then offer logic of Functional? You see AEPDF brought a lot also for #Math_Future and to not mention #Fermat_Murgu_Theorem (Fermat Extension) and #Paradox of Paradoxes #Ion_Murgu_Circles_Paradox. ***America Earth Proud Day Fundamentals*** _Brought a lot of Work for Science and Scientist for future, for which I will say Sorry!, but also a lot of HOPE(S). But now are already 6 years from 2 absolute truths are not taught in Schools because , because , because ..??? #Book_Of_Millennium_III ! BECAUSE EXTRACTED 2 NEW ABSOLUTE TRUTHS FROM SHADOW OF KNOWLEDGE AND NOT OBSERVATIONAL (#How_Apple_fall_On_Mars) but by #Logic_Of_Truth and #Mathematics_Rigor : ***"Book of Millennium III"*** ***"America Earth Proud Day Fundamentals"** is under 2 Copyrights by 2015: 1. Under "Humanity Natural Law Of Copyright " because is an Absolute New Discovery extracted into #Saint_Day_2015_September_24 from #Shadow_Of_Knowledge. 2 USA ISBN : 978-1-63972-043-9. is coming and is The Book which to be in every Scientist Library , every University Library because is coming with a new Logic , Analytics METHODS in Science . Isn't Changing #Mathematics , #Physics or #Logic is completing all and to hope is a new Step into #Good_Morning_Future revealing #Universal_Knowledge .Down, a short presentation: ***For 400 years Fermat's Last Theorem was a big provocation , maybe the biggest ever one, excluding Fermat - Murgu Theorem , for Science Community, but begin with 2015 September 24 , Fermat's Last Theorem is a very important FUNDAMENTAL in Science Stated via 2 all Science rigor Analytic Methods*** ***By 6 years I am waiting critics about using "Ion Murgu - The Lost Fundamental" Identities for Analytic Method "Fermat - Murgu Impossible Equations" which sent Fermat's Last Theorem in FUNDAMENTAL, even if I get second Method for (Ion Murgu - Double False Redundancy Of Truth coupled with Euler - Murgu Equations 1=1 to can explain all about. But for sure "The Book Of Millennium III", "America Earth Proud Day Fundamentals" will do it*** ***Under **#Humanity_Natural_Law_Of_Copyright** FERMAT get HIS rights to a FUNDAMENTAL IN SCIENCE BECAUSE by 7 years AEPDF demonstrate via 2 Methods with respect for rigor, accuracy and fort all n's (2 to infinity) Fermat stated an absolute truth.*** #USA #USA_Proud #Proud_USA for The Biggest contribution anyone make ever to #Pledge_For_AEPDF_Rights_To_Schools **America Earth Proud Day Fundamentals*** are #hopes, I didn't promised more then work under senses of HOPES! But more then it , there are ABSOLUTE TRUTH which increase THE HOPE chance. ***Fermat - Murgu Quadruplets demonstrated for n=3 we have any modular comportment , but is functional one heavy to follow for a PROOF, and bring ambiguity. You can saw it if make a Analyze also for Murgu Quadruplets for n=2 which point for a modularity also. For a **#Mathematician** it is easy to see Fermat - Murgu Quadruplets define a Modular Infinity Divergent Conjecture for Fermat Equations instead of Proof Attached Function which mimicking a continuity. Then for power 2 we have also a specific modular comportment. SORRY!*** ***With humble honesty and respect, I announce you : Fermat's Last Theorem is Fundamental in Science by near 7 years*** ***America Earth Proud Day Fundamentals*** BROUGHT MIRACLES IN SCIENCE: 1. Get Basic of Functional in Mathematics. 2. Sent Fermat's Last Theorem in Fundamental via 2 accurate and general methods. 3. Get Math Logic Ambiguity via #Ion_Murgu_Double_False_Redundancy_Of_Truth. 4. Integrated Irrational field via Fermat Equations. 5. New accurate Algebraic Groups for Linear Algebra correct properties. 6. Blessed Pythagorean Triples as Fermat's Last Theorem exceptions which confirm the rule. 7. Pythagoras Theorem from Fermat's Last Theorem. 8. Pythagorean Prime Numbers a beauty and more*** 9. Get Euler - Murgu Equations 1 =1 (first equations of Recursive Stability of Form) which in connection with Ion Murgu Double False Redundancy Of Truth demonstrated also Fermat was right. 10. Get Fermat -Murgu Quadruplets , a new important Group in Linear Algebra but also connected with Murgu Quadruplets demonstrated ambiguity of Modular for Fermat Equations. 11. Fermat - Murgu Theorem a big provocation for #Linear_Algebra_Functional maybe a new Math domain? 12. A LOT MORE .. ***Into SCIENCE Saint Day 2015 September 24 *A M E R I C A* , *U S A*, brought , via Physicist Ion Murgu From Ohio, the biggest Contribution ever anybody make to Humanity Science And Culture Thesaurus*** *****AMERICA EARTH PROUD DAY FUNDAMENTALS***** "www.climaticdisorder.com/hstp/"
For people that has mathematics in their blood: Maybe mathematicians got tired and accepted a very complicated path and 100 pages so that only a minimum number of mathematicians understand what the proof is. Here's a different approach to the Last Theorem on a single page: th-cam.com/video/-jpA-tr68ww/w-d-xo.html
![ลองสุ่มไอโฟน 990 โกงมั้ย? [ โกงมั้ยครับ ep.101 ] | DOM](http://i.ytimg.com/vi/bfsWe0j492k/mqdefault.jpg)
I am just a popular maths fan and have an interest in Fermat. I understood maybe 5% of Kenneth Ribet’s lecture but I found the whole thing engrossing and fascinating. His ability to keep people like me interested when most of it is incomprehensible is a massive credit to his knowledge and presentation skills. I have never heard someone speak with such clarity and fluidity. Thank you.
richard slater Thank you for that comment. As another popular math(s) fan at a similar level, my reaction to Ribet's lecture was the same as yours. The only thing I would add is that in addition to being an unusually fine presenter, he also comes off as a genuinely nice person.
*****#AEPDF_Hided** because are **#America** 'ns ?***
***Fermat's Last Theorem Proof for n=3 CAN'T send Fermat's Last Theorem in FUNDAMENTAL for Science and Mathematics , because need to proof Modular State for every n's as powers WHEN ISN'T CORRECT demonstrated even for n = 3 (luck at Fermat - Murgu Quadruplets ) when AEPDF sent it in FUNDAMENTAL via multiple , accurate, all **#Science_Rigor** and Clarity.***
Mr. Willes & Ribet "#Fermat_Last_Theorem_Proof_Mathematics_Ambiguity (I never said is a #Science_Scam) which can send Science also in #Science_Ambiguity and are already acting into #Astrophysics and #Elementary_Particles_Theory then even into #String_Theory and #Quantum_Theory. We need Critics back in Science before to be too late! By #Science_Saint_Day_2024_September_24 #Fermat_Last_Theorem_Fundamental and not as a #Proof for n=111 and using #AEPDF also can to be demonstrated #Fermat_Generalized_Fundamental also which mean we are in the front of the biggest Humanity Science & Culture Thesaurus -
***America Earth Proud Day fundamentals***
then
*****#Pledge_For_AEPDF_Rights_To_School*****
We have a lot of work to do for a #Good_Morning_Future
***America Earth Proud Day Fundamentals***
are #hopes, I didn't promised more then work under senses of HOPES! But more then it , there are ABSOLUTE TRUTH which increase THE HOPE chance.
Mr. Willes and #Ribet #Proof_Fermat_Last_Theorem mean #Mathematics_Ambiguity and I try by 6 years to explain it. I used #Fermat_Murgu_Quadruplets which are coming with any kind of Modularity (not with sharing Pizza at presentation of proof which neither Modularity for power n=3 didn't proof really) and I demonstrated that, using #Math_Ambiguity you can use Fermat - Murgu Quadruplets leading to a #False_Proof . But , also I was coming with #Murgu_Quadruplets for power n=2 which are coming also with an modularity ,,.. THEN? Modularity for Fermat Equations Minimums are another kind - is #Functional_Modular and for every Power with proper functional and can't #Generalize for every n's and a uniform modular can't exclude 0. Function used also in Proof do not describe functional real function of Fermat Equations Minimums. You can test it. #Math_Ambiguity cam be a Danger for Science if we will not avoid it in time. Nobody can say I loss My honesty, I , by then contacted #Abel_Institution, , #Nobel_Institution and #Mathematics_Circles , and now are 6 years from.
#Science_Dedicated_To_Generate_Volatile_VIP 's ? is weakening Science as we see after editing genetics Dinosaurs , we aren't able to fight #Covid .
***America Earth Proud Day fundamentals*** to be introduced and #Taught in Schools not only because express #Absolute_Truth , but also can contribute at future Science and Culture evolving! Instead , are hided via Internet Filters by 6 years, maybe because are coming from AMERICA.***
***America Earth Proud Day Fundamentals***
THE BIGGEST EVER "HUMANITY SCIENCE & CULTURE THESAURUS" - not change Mathematics but COMPLETE it with its new STRUCTURAL LOGIC OF FUNCTIONAL *BASIC OF FUNCTIONAL* , I will say a new domain in Math #FUNCTIONAL_MATHEMATICS or #logic_functional.
***A new Science Era began into 2015 September 24! Forgot **#Super_Symmetry** , theory of **#Dead_Universe** , forgot **#Theory_Of_Every_Thing** which fall in **#Virtual** to help **#Artificial_Intelligence** to fool **#Civil_Society** with its **#Dumb_Robotic_Forms**!*** #God_Particle costed #America 50 000 000 $ said any people , #Truth_Or_False - nobody meet this particle anyway.
Mathematicians, you ear any about , #Murgu_Prime_Numbers or Pythagorean Prime Numbers (Integers which can't be write as z^2 = X^2 + Y^2 (as sum of another's 2 power 2))?? You think, like my, are more important then Prime Numbers, because are at the base of functional and then offer logic of Functional?
You see AEPDF brought a lot also for #Math_Future and to not mention #Fermat_Murgu_Theorem (Fermat Extension) and #Paradox of Paradoxes #Ion_Murgu_Circles_Paradox.
***America Earth Proud Day Fundamentals***
_Brought a lot of Work for Science and Scientist for future, for which I will say Sorry!, but also a lot of HOPE(S).
But now are already 6 years from 2 absolute truths are not taught in Schools because , because , because ..???
#Book_Of_Millennium_III !
BECAUSE EXTRACTED 2 NEW ABSOLUTE TRUTHS FROM SHADOW OF KNOWLEDGE AND NOT OBSERVATIONAL
(#How_Apple_fall_On_Mars) but by #Logic_Of_Truth and #Mathematics_Rigor :
***"Book of Millennium III"***
***"America Earth Proud Day Fundamentals"**
is under 2 Copyrights by 2015:
1. Under "Humanity Natural Law Of Copyright " because is an Absolute New Discovery extracted into #Saint_Day_2015_September_24 from #Shadow_Of_Knowledge.
2 USA ISBN : 978-1-63972-043-9.
is coming and is The Book
which to be in every Scientist Library , every University Library because is coming with a new Logic , Analytics METHODS in Science .
Isn't Changing #Mathematics , #Physics or #Logic is completing all and to hope is a new Step into #Good_Morning_Future revealing #Universal_Knowledge .Down, a short presentation:
***For 400 years Fermat's Last Theorem was a big provocation , maybe the biggest ever one, excluding Fermat - Murgu Theorem , for Science Community, but begin with 2015 September 24 , Fermat's Last Theorem is a very important FUNDAMENTAL in Science Stated via 2 all Science rigor Analytic Methods***
***By 6 years I am waiting critics about using "Ion Murgu - The Lost Fundamental" Identities for Analytic Method "Fermat - Murgu Impossible Equations" which sent Fermat's Last Theorem in FUNDAMENTAL, even if I get second Method for (Ion Murgu - Double False Redundancy Of Truth coupled with Euler - Murgu Equations 1=1 to can explain all about. But for sure "The Book Of Millennium III", "America Earth Proud Day Fundamentals" will do it***
***Under **#Humanity_Natural_Law_Of_Copyright** FERMAT get HIS rights to a FUNDAMENTAL IN SCIENCE BECAUSE by 7 years AEPDF demonstrate via 2 Methods with respect for rigor, accuracy and fort all n's (2 to infinity) Fermat stated an absolute truth.*** #USA #USA_Proud #Proud_USA for The Biggest contribution anyone make ever to #Pledge_For_AEPDF_Rights_To_Schools
**America Earth Proud Day Fundamentals***
are #hopes, I didn't promised more then work under senses of HOPES! But more then it , there are ABSOLUTE TRUTH which increase THE HOPE chance.
***Fermat - Murgu Quadruplets demonstrated for n=3 we have any modular comportment , but is functional one heavy to follow for a PROOF, and bring ambiguity. You can saw it if make a Analyze also for Murgu Quadruplets for n=2 which point for a modularity also. For a **#Mathematician** it is easy to see Fermat - Murgu Quadruplets define a Modular Infinity Divergent Conjecture for Fermat Equations instead of Proof Attached Function which mimicking a continuity. Then for power 2 we have also a specific modular comportment. SORRY!***
***With humble honesty and respect, I announce you : Fermat's Last Theorem is Fundamental in Science by near 7 years***
***America Earth Proud Day Fundamentals***
BROUGHT MIRACLES IN SCIENCE:
1. Get Basic of Functional in Mathematics.
2. Sent Fermat's Last Theorem in Fundamental via 2 accurate and general methods.
3. Get Math Logic Ambiguity via #Ion_Murgu_Double_False_Redundancy_Of_Truth.
4. Integrated Irrational field via Fermat Equations.
5. New accurate Algebraic Groups for Linear Algebra correct properties.
6. Blessed Pythagorean Triples as Fermat's Last Theorem exceptions which confirm the rule.
7. Pythagoras Theorem from Fermat's Last Theorem.
8. Pythagorean Prime Numbers a beauty and more***
9. Get Euler - Murgu Equations 1 =1 (first equations of Recursive Stability of Form) which in connection with Ion Murgu Double False Redundancy Of Truth demonstrated also Fermat was right.
10. Get Fermat -Murgu Quadruplets , a new important Group in Linear Algebra but also connected with Murgu Quadruplets demonstrated ambiguity of Modular for Fermat Equations.
11. Fermat - Murgu Theorem a big provocation for #Linear_Algebra_Functional maybe a new Math domain?
12. A LOT MORE ..
***Into SCIENCE Saint Day 2015 September 24 *A M E R I C A* , *U S A*, brought , via Physicist Ion Murgu From Ohio, the biggest Contribution ever anybody make to Humanity Science And Culture Thesaurus***
*****AMERICA EARTH PROUD DAY FUNDAMENTALS***** "www.climaticdisorder.com/hstp/"
People who understand 5%of Ken Ribet s lecture ( whithout being postgraduates in Number Theory) are strongly encouraged to pursue a career in Maths.Ordinary Proffesors in fields that are not Eliptical Curves and Number Theory don't understand more than 1/ 1000 of the real stuff Jen Ribet is talking about.
@@GoogleReview-k1f You seem to have some kind of vendetta against Ribet. What's your beef with him?
@@GoogleReview-k1f I have never heard Ribet claim he proved Fermat. As far as I know, he wasn’t working on it at all, certainly not before Wiles proof. He provided a significant step in the process that pushed Wiles towards the Tanyama Shimura conjecture, but that still left an enormous amount to do.
Thanks for an extremely efficient delivery. The principles of the different elements relevant to the proof, and how they connect, are for the first time clear to me, both part by part, and as a whole. And that is quite significant, and says a lot about the lucidity of the speech. 4×23 is of course not 96. But when explained as 4×23, then 92 is readily deduced.
Ken Ribet deserves far more accolade for the proof of the Fermat’s Last Theorem than he has been given credit for. His proof of the ε-conjecture (originally proposed by Jean-Pierre Serre), and now known as Ribet’s theorem, is not only an indispensable bridge to the final proof, but has so far proven to be the only path. Not to take anything away from Andrew Wiles’ brilliant work, or Ribet’s fundamental contributions, but I believe the proof of the Fermat’s Last Theorem should really be regarded as a true collaborative effort also involving others like Barry Mazur (Torsion theorem, Galois deformations, as well as other insights and suggestions), Nick Katz (for having aptly identified the insurmountable problem in Wiles’ original approach), and Richard Taylor (for having helped Wiles construct the final correct approach).
Yes, Barry Mazur for telling Ken Ribet that he, Ken, had proved the epsilon conjecture when he didn't realise he had!
future #Scientists #Science_Shame?
Ribet absolutely deserves accolades, but when you say it 'has so far proven to be the only path,' what about Ribet's slide at 51:29 which he skipped over ("Avoiding Ribet and Tunnell")? Maybe this argument still uses Ribet's techniques even if it technically doesn't rely directly on Ribet's theorem?
Wiles solved the problem. Finished. Done. Ken Ribet doesn't get partial credit for making numerous talks where he does his best to claim glory for not solving the problem. It doesn't work that way.
@@GoogleReview-k1f It wasn't done until Wiles and Taylor finished it off. So by your logic, Wiles shouldn't get any partial credit for his single-author paper.
fantastic and really accessible summary of the subject- Thanks a lot!
The last few slides are fascinating, and well worth looking at at quarter speed.
you assist to #Mathematics passing in #Science_fiction Era.
Slides are here www.aub.edu.lb/cams/Documents/A_Brief_History_of_Fermats_Last_Theorem_Presentation.pdf
I like this over view
23:26 It is 92=4*23.
You have good eye (and multiplication power ;)).
41:50 proof that 1986 will forever be roughly 25 years ago.
That would take a pretty wide margin.
Ken is a cool guy.
Ken is why I study maths
Ribet starts talking at 2:30
96 is not equal to 4 times 23.
More on solutions’ enumeration in Diophantine or Fermat like equations : th-cam.com/video/6rjoO4K_XuI/w-d-xo.html
BIGGEST EVER AND FOREVER #HSCUT #COMPONENTS .
Mr. Ribet #High_School_Level_Essay passing #Mathematics or sending #Math, #matematika to #Science_Fiction Era
Error message from the Fermat’s last theorem.
Exponentiation is just another aspect-version of e-Pi-i sync-duration divergence superimposed _with convergence, projection-drawing according to empirical relative-timing differentiates=> integrated metastability.., aka number theory, here-now-forever in this Eternity-now Interval of Superspin Modulation =Logarithmic Time Duration Timing, or, tracking/tracing inside-outside holographic positioning presence, or, condensation density-intensity = probabilistic interference.., or what it is, and imaginable mathematically.
GD&P parallel coexistence relative-timing recognition Apprenticeships training preferred.
I pleased you: Don't get involved into sending #Math in #Mathematics_Ambiguity era !
Lines teacher
***Are you **#Mathematician** for sure!***
Because :
*****#The_Best_Ever_Humanity_Logical_Science_Discovery*****
*****#Best_Ever_HSCUT_Components_AEPDF*****
where
*****#HSCUT** = ***
*****#Humanity_Science_And_Culture_Universal_Thesaurus*****
*****#America_Earth_Proud_Day_Fundamentals*****
#7_Years_Hide by #Civil_Society_Institutions - #Science_Institutions via - I can’t say exactly if - #Microsoft_Hackers, #Facebook_Hackers , #Oracle_Hackers, or #Oracle_Hackers or #Intel_Hackers !
A lot of People , #Scientists, #Mathematicians yet are working desperate for
*****#Fermat_Last_Theorem***** as a intuitive answer to an inexact #Proof even for n=4.
*****#BUT***** *****#Boyss****
, Fermat’s Last Theorem is #Fundamental in #Science by #2015_September_24 by #Ion_Murgu_From_Ohio .
#Fermat_Last_Theorem_Certified in #Accurate, all Science rigor for n [2, #Infinity ) and sent in fundamental , keep also it’s old name as respect for #Fermat!
Thanks for helping My as AEPDF to take theirs place into #HSCUT !
See “www.climaticdisorder.com/hstp/” and don’t asc for what “#Climatic_Disorder_DOTCOM” . I thought the fight against all climatic disorders will be to us a duty for future as a #Good_Morning_Future for Eternity!
I would have felt better Dr Ribet had given a bit more credit to Andrew Wiles for proving Fermat’s last theorem. The world badly needs heroes and Wiles is one of mine.
@@reunionproductions lol people are getting competitive in the mathematics industry haha
@@georgeice4389 dude shut up. You are greatly undermining and underestimating the significance of Wiles' work, which only demonstrates that *you* are the one lacking in the means of understanding mathematics. With a 5 second google search, you can see clear as day all the people involved in proving Fermat's Last Theorem. You think this is some matter of elementary algebra? Bruh, you got way more to learn, assuming the comprehension level isn't too much for you. Stop texting in big blocky letters on TH-cam of all places, and start speaking civilly and maturely. You talk as though you're above everyone, you missed the user's point entirely because of your narrow-mindedness and inability to stop being so self-righteous. You're the one who's naive for believing Fermat had a proof --- lots of his work were originally conjectures that were proven by other mathematicians. Your puerile short-sightedness and ill mannerisms are what taints this world, and if I didn't know better, someone like you would spoil my respect for mathematics and Andrew Wiles' efforts. I wonder what you have proven in life, because thus far you only seem to prove how much of a pitiable childish character you can come off to be.
@@georgeice4389 do you even know what audience at which the lecture was specifically targeted? what clickbait actually means? have you even seen the paper??? If you want some good ole fashion algebra, take a look at infinite descent or sophie germain's proof of FLT for n=3. If you want the real deal, have a look at profinite groups, infinite galios groups and their internal structure, complete local rings, so then you can rigorously uncover galois representations of elliptic curves and modular forms, and their other invariants and semistable representations... if you have any idea of group theory, field theory, galois cohomology and deformation theory. I bet it sounds intimidating. This is what it takes to rigorously prove fermat's last theorem. The lecture was just a lecture, it didn't provide a rigorous proof, that's just a bit of clickbait. How can you expect such a proof to be summed up in a lecture anyways. If it is so easy, why don't you send a proof to me and to arXiv.
@@georgeice4389 is that where you literally referred to yourself in third person? lol. good luck with your conspiracy theories.
@@georgeice4389 oh ok. have fun being presumptuous and ignorant. i legit gave u a whole list of the math behind FLT and you ignored all that and cherrypicked by telling me where your "proof" can be found, like that would add any legitimacy to your argument. you missed the whole substance of my argument and yet you're lecturing me about beating around the bush and how to supposedly debate --- i mean, you brought this up on youtube of all places lmao. you call me an amateur and act as though you know how im reacting, ur so full of yourself it hurts. you're right in that you should expect people to despise you. if you wanna show how knowledgeable you are in math, start talking more math and less about useless nitpicky stuff. mathematicians of the highest class don't bore themselves with little matters.
***By 7 years Fermat's Last Theorem was solved for all cases (powers n=2 to n=infinity), instead of any proofs for any n's, and it offer to **#Fermat** HIS dignity and honor to Science with a FUNDAMENTAL in SCIENCE***
**Now I am here, also, for a pledge: **#Our** **#Space_Activity** will need **#Atomic_Energy** as a reserve , then, pledge against **#Atomic_Bombs** which is eating its future!**
#USA #USA_Proud for The Biggest contribution anyone make ever to #Humanity_Science_And_Culture_Thesaurus !
***America Earth Proud Day Fundamentals***
(BIGGEST EVER HUMANITY SCIENCE & CULTURE THESAURUS ) &
The biggest ever 2 Discovery, REVEALED Hided Absolute Truths , REVEALED Cultural , Logical AND even Philosophical future development because:
- blessed Pythagorean Triples as Fermat's Last Theorem as blessed exceptions offering to this group in Math new important properties.
- Integrated Irrational Field , but more then that defined it in maybe correct mode.
- Brought basic of Functional via #Ion_Murgu_Math_Millennium_Equations , #Mathematics_Functional begin here.
- closed a 400 years Science Torment, solving with clarity, accuracy , all science and logical rigor Fermat's Last Theorem SENDING IT in Fundamental.
- closed a 400 years Science Torment, by two accurate, clear, all science rigor via 2 Methods:
1. Fermat - Murgu Impossible Equations .
2. Ion Murgu - Double False Redundancy Of Truth coupled with Euler - Murgu Equations 1 Equal 1.
-By Now, #Mathematics_Is_Science and ever by now, #Science_Need_Math_For_Its_logic, with rigor and accuracy included.
Not a Proof solved Fermat's Last Theorem, a proof is a proof only and for n=3 is a #Math_Logical_Ambiguity . Instead. with accuracy, clarity, absolute rigor and for general cases, DID IT :
***America Earth Proud Day Fundamentals***
(after 40 years of crazy work)
- if I am addressing also to #Physics_And_Physicists is because STARTED FOR Physics (and cost my 40 years of crazy work , because make an calculus error , then) and I hope and sure #Physics will explode in good sense - #Good_Morning_Future. Sorry, if it will change any into #Astrophysics , #Cosmology, and even ... , but , if, will be for god of Science.
*****#Mathematics_Ambiguity** and Imposed Conventional offered to any people a chance to scare Civil Society with a super new Civilization Artificial Intelligence. An hard closure added to a lot of another kind, with chance to block a Cultural evolving***
***Fermat - Murgu Quadruplets demonstrated for n=3 we have any modular comportment , but is functional one heavy to follow for a PROOF, and bring ambiguity. You can saw it if make a Analyze also for Murgu Quadruplets for n=2 which point for a modularity also. For a **#Mathematician** it is easy to see Fermat - Murgu Quadruplets define a Modular Infinity Divergent Conjecture for Fermat Equations instead of Proof Attached Function which mimicking a continuity. Then for power 2 we have also a specific modular comportment. SORRY!***
***After 7 years of waiting as America 2015, 2 fundamentals to be recognized by **#Science_Society** , yet I refuse to think **#Conspiracy_Theory** is infiltrated here, or started here as people said via mediocre IT - hackers which instituted **#Censure**. And it because I hope they will understood we are not so high in **#High_Tech** like we hoped, and it will block Humanity Cultural evolution and will send us back in **#Magical*****
***With humble honesty and respect, I announce you : Fermat's Last Theorem is Fundamental in Science by near 7 years***
By 7 years I repeat - here isn't about a proof - here is Fermat's Last Theorem SOLVED FOR GENERAL CASES for n 2 to infinity - and it give to Fermat's Last Theorem THE RIGHT TO FUNDAMENTAL IN SCIENCE. ===When Newton wrote law of gravitation him called friends around of world & Mars, to ask if #Apple fall in the same mode everywhere?=== A fundamental need to be fulfilled in #Absolute_Truth! When speak about Cognition must to luck for absolute truth.
***America Earth Proud Day Fundamentals***
brought miracles in Science: 1. Get Basic of Functional in Mathematics. 2. Sent Fermat's Last Theorem in Fundamental via 2 accurate and general methods. 3. Get Math Logic Ambiguity via #Ion_Murgu_Double_False_Redundancy_Of_Truth. 4. Integrated Irrational field via Fermat Equations. 5. New accurate Algebraic Groups for Linear Algebra correct properties. 6. Blessed Pythagorean Triples as Fermat's Last Theorem exceptions which confirm the rule. 7. Pythagoras Theorem from Fermat's Last Theorem. 8. Pythagorean Prime Numbers a beauty and more*** THEN #Biggest_USA_Science_And_Culture_Thesaurus but also #Biggest_Humanity_Science_And_Culture_Thesaurus To understood it I will say : Fermat Equations are mirroring between negative and positive axle, and problem into [-1, 1] is reflecting in complex calculus too and denoting the comportment between [-n,n], but also normally reflecting property of zero and unity over multiply.I am very sorry that #Fermat_s_Last_Theorem_Proof_Team_Fall to demonstrate FLT is fundamental and fall over the proof too! ***THE BIGGEST HUMAN DISCOVERY EVER - TWO FUNDAMENTALS BROUGHT ALSO NEW HOPES INTO SCIENCE LOGIC*** #State_Of_Fundamental_Absolute_Truth #USA #America #America_University #USA_Science *** For My , and by near 7 years, only for My, down here are The Best Discovery in #Physics, and I hope for all #Scientists also soon after understanding it , 2 fundamentals which can revolutionize #Physics_Logic , but for #Mathematics are Beauty which discovered #Basic_Of_Functional_In_Mathematics and eroded #Mathematics_Logic_Ambiguity via #Ion_Murgu_Double_False_Redundancy_Of_Truth*** #Duck boy, #Facebook , #Google , #CISCO , #Verizon , etc. join to #Climatic_Disorder_DOTCOM to try to fight against Climatic disorders which can send #Earth to #Climate_Change and Climatic change either. We already confront 2 dangerous disorders , Climate Disorder at dangerous state, and Biologic_Disorder which put #Humanity into Danger of Induced_Ephemeral and can to revers our evolution! ***Into SCIENCE Saint Day 2015 September 24 *A M E R I C A* , *U S A*, brought , via Physicist Ion Murgu From Ohio, the biggest Contribution ever anybody make to Humanity Science And Culture Thesaurus*** *****AMERICA EARTH PROUD DAY FUNDAMENTALS***** ***The Book Of Millennium - "AMERICA Earth Proud Day Fundamentals" finish time and ready , Now work for **#Science_Fiction_Book** until prov contrary - "Inerton or The Tear Of Geea" and **#IonMurguCUTandPT345Resonator** soon*** First a word for a real Physicist : "For a Physicist a Mass isn't any to eat , isn't meal at all." - #Ion_Murgu_From_Ohio_USA . ***This is coming from **#Physics** , and I hope will bring a lot there first, then **#Physicist** luck and learn and research in logic , maybe we will get any tools for! Also now **#Mathematics** is reunite with Physics and **#Chemistry** for a **#Good_Morning_Future** in Science***This was getting from **#Physics** because My initial scope wasn't Fermat's Last Theorem but instead a **#Powers_Analyze** for connecting to a Math_Physics_Functional and by sending Fermat's Last Theorem into Fundamental in Science vi an accurate, general cases inclusion, rigor and wearing **#Absolute_Truth** I did it and I get for what I was lucking more then 40 years ago when I trusting my precision calculus I lost this **#Beauty_Math_Propriety** of **#Powers_Functional** and for sure I get also what I was lucking for for **#Physics** . *****facebook.com/.../4884.../posts/2390956387701559/*** ***#America_Earth_Proud_Day_Fundamentals #Biggest_Science_Contribution_Ever anybody make in #Mathematics_And_Science and even #Culture , 2 Absolute_Truth_Science_Fundamentals in #USA_Saint_Day_2015_September_24 which #Named_America_For_Eternity #America #USA and come whit a important #University_Challenge , #Academy_Challenge as #Mathematics_Millennium_Prize #Fermat_Murgu_Theorem not to change #Mathematics or #Science , or #Physics or #Linear_Algebra but to complete it with correct #Mathematics_Functional and even #Approximation #Gaussian_Approximation_Era and #Science_Logic***I am sorry Fermat's Last Theorem Proof Team was going in a wrong way: function used included a doubted approximation and used a false modular method instead of a multi functional one. AND A PROOF NEVER into accuracy and rigorous Science Logic can't declare any FUNDAMENTAL. #State_Of_Fundamental_Absolute_Truth . "www.climaticdisorder.com/hstp"
*****#AEPDF_Hided** because are **#America** 'ns ?***
***Fermat's Last Theorem Proof for n=3 CAN'T send Fermat's Last Theorem in FUNDAMENTAL for Science and Mathematics , because need to proof Modular State for every n's as powers WHEN ISN'T CORRECT demonstrated even for n = 3 (luck at Fermat - Murgu Quadruplets ) when AEPDF sent it in FUNDAMENTAL via multiple , accurate, all **#Science_Rigor** and Clarity.***
Mr. Willes & Ribet "#Fermat_Last_Theorem_Proof_Mathematics_Ambiguity (I never said is a #Science_Scam) which can send Science also in #Science_Ambiguity and are already acting into #Astrophysics and #Elementary_Particles_Theory then even into #String_Theory and #Quantum_Theory. We need Critics back in Science before to be too late! By #Science_Saint_Day_2024_September_24 #Fermat_Last_Theorem_Fundamental and not as a #Proof for n=111 and using #AEPDF also can to be demonstrated #Fermat_Generalized_Fundamental also which mean we are in the front of the biggest Humanity Science & Culture Thesaurus -
***America Earth Proud Day fundamentals***
then
*****#Pledge_For_AEPDF_Rights_To_School*****
We have a lot of work to do for a #Good_Morning_Future
***America Earth Proud Day Fundamentals***
are #hopes, I didn't promised more then work under senses of HOPES! But more then it , there are ABSOLUTE TRUTH which increase THE HOPE chance.
Mr. Willes and #Ribet #Proof_Fermat_Last_Theorem mean #Mathematics_Ambiguity and I try by 6 years to explain it. I used #Fermat_Murgu_Quadruplets which are coming with any kind of Modularity (not with sharing Pizza at presentation of proof which neither Modularity for power n=3 didn't proof really) and I demonstrated that, using #Math_Ambiguity you can use Fermat - Murgu Quadruplets leading to a #False_Proof . But , also I was coming with #Murgu_Quadruplets for power n=2 which are coming also with an modularity ,,.. THEN? Modularity for Fermat Equations Minimums are another kind - is #Functional_Modular and for every Power with proper functional and can't #Generalize for every n's and a uniform modular can't exclude 0. Function used also in Proof do not describe functional real function of Fermat Equations Minimums. You can test it. #Math_Ambiguity cam be a Danger for Science if we will not avoid it in time. Nobody can say I loss My honesty, I , by then contacted #Abel_Institution, , #Nobel_Institution and #Mathematics_Circles , and now are 6 years from.
#Science_Dedicated_To_Generate_Volatile_VIP 's ? is weakening Science as we see after editing genetics Dinosaurs , we aren't able to fight #Covid .
***America Earth Proud Day fundamentals*** to be introduced and #Taught in Schools not only because express #Absolute_Truth , but also can contribute at future Science and Culture evolving! Instead , are hided via Internet Filters by 6 years, maybe because are coming from AMERICA.***
***America Earth Proud Day Fundamentals***
THE BIGGEST EVER "HUMANITY SCIENCE & CULTURE THESAURUS" - not change Mathematics but COMPLETE it with its new STRUCTURAL LOGIC OF FUNCTIONAL *BASIC OF FUNCTIONAL* , I will say a new domain in Math #FUNCTIONAL_MATHEMATICS or #logic_functional.
***A new Science Era began into 2015 September 24! Forgot **#Super_Symmetry** , theory of **#Dead_Universe** , forgot **#Theory_Of_Every_Thing** which fall in **#Virtual** to help **#Artificial_Intelligence** to fool **#Civil_Society** with its **#Dumb_Robotic_Forms**!*** #God_Particle costed #America 50 000 000 $ said any people , #Truth_Or_False - nobody meet this particle anyway.
Mathematicians, you ear any about , #Murgu_Prime_Numbers or Pythagorean Prime Numbers (Integers which can't be write as z^2 = X^2 + Y^2 (as sum of another's 2 power 2))?? You think, like my, are more important then Prime Numbers, because are at the base of functional and then offer logic of Functional?
You see AEPDF brought a lot also for #Math_Future and to not mention #Fermat_Murgu_Theorem (Fermat Extension) and #Paradox of Paradoxes #Ion_Murgu_Circles_Paradox.
***America Earth Proud Day Fundamentals***
_Brought a lot of Work for Science and Scientist for future, for which I will say Sorry!, but also a lot of HOPE(S).
But now are already 6 years from 2 absolute truths are not taught in Schools because , because , because ..???
#Book_Of_Millennium_III !
BECAUSE EXTRACTED 2 NEW ABSOLUTE TRUTHS FROM SHADOW OF KNOWLEDGE AND NOT OBSERVATIONAL
(#How_Apple_fall_On_Mars) but by #Logic_Of_Truth and #Mathematics_Rigor :
***"Book of Millennium III"***
***"America Earth Proud Day Fundamentals"**
is under 2 Copyrights by 2015:
1. Under "Humanity Natural Law Of Copyright " because is an Absolute New Discovery extracted into #Saint_Day_2015_September_24 from #Shadow_Of_Knowledge.
2 USA ISBN : 978-1-63972-043-9.
is coming and is The Book
which to be in every Scientist Library , every University Library because is coming with a new Logic , Analytics METHODS in Science .
Isn't Changing #Mathematics , #Physics or #Logic is completing all and to hope is a new Step into #Good_Morning_Future revealing #Universal_Knowledge .Down, a short presentation:
***For 400 years Fermat's Last Theorem was a big provocation , maybe the biggest ever one, excluding Fermat - Murgu Theorem , for Science Community, but begin with 2015 September 24 , Fermat's Last Theorem is a very important FUNDAMENTAL in Science Stated via 2 all Science rigor Analytic Methods***
***By 6 years I am waiting critics about using "Ion Murgu - The Lost Fundamental" Identities for Analytic Method "Fermat - Murgu Impossible Equations" which sent Fermat's Last Theorem in FUNDAMENTAL, even if I get second Method for (Ion Murgu - Double False Redundancy Of Truth coupled with Euler - Murgu Equations 1=1 to can explain all about. But for sure "The Book Of Millennium III", "America Earth Proud Day Fundamentals" will do it***
***Under **#Humanity_Natural_Law_Of_Copyright** FERMAT get HIS rights to a FUNDAMENTAL IN SCIENCE BECAUSE by 7 years AEPDF demonstrate via 2 Methods with respect for rigor, accuracy and fort all n's (2 to infinity) Fermat stated an absolute truth.*** #USA #USA_Proud #Proud_USA for The Biggest contribution anyone make ever to #Pledge_For_AEPDF_Rights_To_Schools
**America Earth Proud Day Fundamentals***
are #hopes, I didn't promised more then work under senses of HOPES! But more then it , there are ABSOLUTE TRUTH which increase THE HOPE chance.
***Fermat - Murgu Quadruplets demonstrated for n=3 we have any modular comportment , but is functional one heavy to follow for a PROOF, and bring ambiguity. You can saw it if make a Analyze also for Murgu Quadruplets for n=2 which point for a modularity also. For a **#Mathematician** it is easy to see Fermat - Murgu Quadruplets define a Modular Infinity Divergent Conjecture for Fermat Equations instead of Proof Attached Function which mimicking a continuity. Then for power 2 we have also a specific modular comportment. SORRY!***
***With humble honesty and respect, I announce you : Fermat's Last Theorem is Fundamental in Science by near 7 years***
***America Earth Proud Day Fundamentals***
BROUGHT MIRACLES IN SCIENCE:
1. Get Basic of Functional in Mathematics.
2. Sent Fermat's Last Theorem in Fundamental via 2 accurate and general methods.
3. Get Math Logic Ambiguity via #Ion_Murgu_Double_False_Redundancy_Of_Truth.
4. Integrated Irrational field via Fermat Equations.
5. New accurate Algebraic Groups for Linear Algebra correct properties.
6. Blessed Pythagorean Triples as Fermat's Last Theorem exceptions which confirm the rule.
7. Pythagoras Theorem from Fermat's Last Theorem.
8. Pythagorean Prime Numbers a beauty and more***
9. Get Euler - Murgu Equations 1 =1 (first equations of Recursive Stability of Form) which in connection with Ion Murgu Double False Redundancy Of Truth demonstrated also Fermat was right.
10. Get Fermat -Murgu Quadruplets , a new important Group in Linear Algebra but also connected with Murgu Quadruplets demonstrated ambiguity of Modular for Fermat Equations.
11. Fermat - Murgu Theorem a big provocation for #Linear_Algebra_Functional maybe a new Math domain?
12. A LOT MORE ..
***Into SCIENCE Saint Day 2015 September 24 *A M E R I C A* , *U S A*, brought , via Physicist Ion Murgu From Ohio, the biggest Contribution ever anybody make to Humanity Science And Culture Thesaurus***
*****AMERICA EARTH PROUD DAY FUNDAMENTALS***** "www.climaticdisorder.com/hstp/"
Wtf
Just one more lesson in Math: Don't drink and derive.
Mental illness is painful sometimes.
Last alphabet symbol z.
0=00
For people that has mathematics in their blood: Maybe mathematicians got tired and accepted a very complicated path and 100 pages so that only a minimum number of mathematicians understand what the proof is. Here's a different approach to the Last Theorem on a single page: th-cam.com/video/-jpA-tr68ww/w-d-xo.html