2022's Biggest Breakthroughs in Math
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- เผยแพร่เมื่อ 29 ก.ย. 2024
- Mathematicians made major progress in 2022, solving a centuries-old geometry question called the interpolation problem, proving the best way to minimize the surface area of clusters of three, four and five bubbles, and proving a sweeping statement about how structure emerges in random sets and graphs. Read more about these and other mathematical advances at Quanta Magazine: www.quantamaga...
You can read also about the biggest breakthroughs of 2022 in physics, biology, and computer science on our magazine website: www.quantamaga...
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Quanta Magazine is an editorially independent publication supported by the Simons Foundation www.simonsfoun...
Correction: An earlier version of this video incorrectly suggested that Vogt and Larson solved the Brill-Noether theorem and has been deleted. Instead, the couple solved the interpolation problem. This video more accurately reflects what they proved. We regret the error.
A note to viewers: We're taking a break from producing our "Biggest Breakthroughs in Physics" and "Biggest Breakthroughs in Biology" videos this year, but you can read our curated lists for these topics, plus a summary of computer science breakthroughs, at our magazine website: www.quantamagazine.org/tag/2022-in-review/
We’ll be back with more videos in 2023, including a full set of "Biggest Breakthroughs" videos.
Correction: An earlier version of this video incorrectly suggested that Vogt and Larson solved the Brill-Noether theorem and has been deleted. Instead, the couple solved the interpolation problem. This video more accurately reflects what they proved. We regret the error.
Now it makes sense. It's awesome that you really deleted the earlier video. Some people don't do it. Massive respect for that.
That's ok, sometimes Christmas presents get delayed until after the holidays 🙂
Ahh I see. Fantastic math video here. I applied for your Video Producer position I'd love to help bring those other videos to life!
Amazing!
BTW, this is a reupload, right? I remember watching this more than a day ago!
I was about to say. I swear I saw this video uploaded yesterday
I appreciate the efforts in trying to make these heavily technical subjects reachable to the general public. Kudos to y'all :-)
i enjoy watching these subjects but if they didn't explain it this way i wouldn't know why it was important that these strides are being made.
@@simonlinser8286 I honestly still don't know
I'm happy for that math nerd couple. What a story it will be to their kids. "We met trying to solve the interpolation problem of advanced mathematics". Ahh, so sweet.
they actually named their kid Interpolation Problem
@@stefevr " I hate you"
@@Somebodyherefornow "thanks"
The way she said "well! we got married.."
@@stefevr atleast the child will get the big brain math genes
are you guys gonna do a “2022 a year in physics” and “a year in biology” like you did for 2021? i really liked both videos and would love to see how we’ve improved this past year
They explained in the pinned comment that they will not do it
I have no idea on what I just watched, but it sounds like a really hard topic and to grasp. Kudos to all of the mathematician out there doing their best to solve a problem that could in turn help humanity. Your sacrifice will not be forgotten.
Truly mind blown by the brilliance and determination of these people.
YES. SO AWESOME. Thank you mathematicians for everything. Humanity owes you everything.
3:22 I see penus and amongus
clusters of Sullivan's shadow bubbles is definitely a dnd spell
People don’t understand how huge a discovery this is
Cool stuff! Can we get youtube chapters on these videos?
3:23 oh no
I understand the part with the Bubbles
is Eric Larsen any way related to Daniel Larsen? The prime number guy?
Why is 3 points a circle and not a triangle??
💀
The points here are in reference to curves not shapes
@@Professionalyoutubeviewer by why is 2 points a straight line then?? (I’m sorry if I’m missing something,, I know it already went over my head but I’m still curious)
@@kheshirekat9623 Lol no need to feel embarrassed for not knowing something! In this context, a straight line is a curve with curvature 0.
@@kheshirekat9623 I’m only barely grasping what they are talking about myself, without the prior knowledge they have on the subjects these discussions can truly feel alien to us huh
This video will be the start of major things. ,☁️
Can't you just observe foam to solve bubbles's minimal surface area?
Just make them increasingly more solid/perfectly spherical after(if that's the objective) and do basic calculus to see if variations converge to that solution or another one.
Let me guess: triangle(like a rugby ball) for 3 bubbles, a tetrahedra for 4 bubbles and two pointed tetrahedra for 5 bubbles?
I must not have the slightest clue about it, surely
Foam solves the least possible stresses.. not the connections for random points. But your comment was entertaining....
@@hillaryclinton2415 what would "the connections between random points" mean exactly in this context?
Please paint me a picture of what I should be thinking of, feel free to use an excess of words if needed
E=(J)mc2
3:22 🤨📸
10:11 his name is literally pronounced as "WE FAM"... dope
3:26 sus?
I feel like a caveman compared to these smart guys. Keep up the good work!
right
me tooo
Thanks for sharing your feelings on the comment section.
That is because we are. Mathematicians are a species of their own
@@CSTEnjoyer Sure about that? The significant things that truly distinguish them are their imagination and building on abstraction moreso than mere language offers, via fully blown logic.
@@Wabbelpaddel there's a reason why almost all mathmaticians are kinda "weird" people. What they lack in social skills, they have in IQ.
Thank god somebody likes math so I don't have to think about it and we can still advance as a society.
ikr
If you don't like it you haven't been taught math right, unfortunately
@@HilbertXVI 🤓
@@ethanzheng1368 he's right. "Nerd" is just a compliment
@@HilbertXVI what evidence suggests everyone is keen on learning math if "taught properly?" we're all unique and complicated individuals with different interests.
I probably got this video because I was interested in another video on splines by Freya Holmér. She has the most in-depth videos on the topic, and they are beautifully animated too!
we stan freya holmér
Thanks for the recommendation. I've played with splines before and they are very strange and interesting at first blush
@@vascomarques637 All the way!
Ayyyyy Freya appreciator in the wild!
Les goooooooooooooooo
My foundation in math is very weak but I managed to catch a few things in her video
I just jumped here from that video
It's realy amazing seeing young mathematicians doing big discoveries 👏👏👏
as well as big mathematicians doing young discoveries! 👏👏👏
Not really would be more surprising if they were old
@@Nat-oj2uc i was being dumb for the sake of the funny
Networks, bubbles, and curves.. never realized how technical and deep these can be.. kind of like chess, simple to grasp the basics but takes a lifetime to master
The most complex problems, often have very simple rules.
Try proving that each even number bigger than 2 can be written as the sum of two primes…
I'm sure there are 13 *n possible opening plays in Bridge..... whenever I am on lead... the possibilities seem limitless :-)
where n must be > 13.......
wheh the guy spoke, i didnt expect this to be his voice. amazing accomplishment regardless
Quanta Magazine should start a special category for Chemistry too!!!
I agree
Hell no
Fuck chemistry
Only if it is Computational Chemistry !
I’m ok thinking that chemistry is plain magic
Was just telling my friend I don't even pay attention to who won the Nobel anymore, I just watch the Quanta biggest breakthroughs in X each year... feels more cutting edge, inclusive, and not just a friend of a friend... genuinely the new things that should excite me. And y'all do a great job making it understandable.
3:21 at first it's just sus, but then it turns into something even more SUS
LOL STOOOOOOOOOOP
came to the comments to say just that
"They were able to get something simple enough that they can attack with their bare hands."
Surely🗿
Certified sussy^2 baka moment
I love hearing about the progress being made in math!
I see what you've done here at 3:23 😉
Dang, talk about relationship goals. It would be pretty cool to publish a paper with your partner, let alone one so substantial.
Also cheers Quanta for reuploading to correct the error in the original. It was a small one but the commitment to accuracy is much appreciated.
i am nowhere near proficient enough in mathematics to understand these problems in depth, but i remember watching a couple lectures by jinyoung park earlier this year and being mystified by the subject matter and enjoying her lecture style! would love to understand all these questions more intimately
Beautifully presented and made these complex topics interesting and accessible.
I love the video but Eric's voice caught me fully off-guard lmao
Guys, read the description please lol.
Edit: nevermind, now it's pinned also
Math is the most fundamental and important science. The advancements in other fields often depend on how advanced we are in math.
Respect to those people. Hypothesis is easy. Actually shutting up and proving it that's what is hard
Can anyone explain why solving the interpolation problem can improve data storage? Where can I read more on this?
I think the rough idea is that if you can capture all the points on a single curve, storing just the data you need to create the curve could allow you to recreate all the points. Like if I want to remember the numbers 5 6 7 8 9 I can just remember that there are 5 of them and they increase stepwise from 5 which is simpler than storing all five of them (especially as the number of points increases). I am not sure this is correct and I am not sure where you can find out more, but this seems like the intuitive reason it might be useful for that process.
@@hedgechasing incredible. Thank you
they can also be used for error correction. Look up “Reed Solomon codes”
@@leonmozambique533 Yes, compression and correction always walk hand in hand.
@Black Screen That's an approximation tho, this is dealing with exacts. I think hedge has a good handle on what's happening here.
That first guy's voice caught me off guard 😭😭😭😭
I hate myself for never being able to advance the world of maths
The best part of these videos is hearing the struggles and challenges and how they were overcome. Please continue these types of inquiry!
Math is the language of God. Robert Edward grant has proven this
Me: "They look like a couple, are we sure they are not dating? "
1:35 : "We got married"
Me: "Oh😅"
Little did they know... the answer lies in the windows 2000 pipes screensaver
I love these videos at the end of the year. I always look forward to all the different topics of science.
3:22 Woah Woah… WHAT exactly are you drawing?? 🤨
3:22 had me nervous for a second…
Thanks to the Simon Foundation for highlighting and maybe even fueling such fundamental discoveries!
So much lame self-deprecation in the comments. Math is to reason as language is to communication, literally: just as all humans are born with a capacity for language acquisition, so to does every human possess the innate ability to reason in the abstract.
the bubble thingy...it looks like shapes of hybridization lol
I thought the same thing... that example seems to drive home the applications of the theorem!
I’m jealous of these people’s minds. So innovative
andrew tate voice: "NERDS!!!!"
just kidding Im just compensating
What ever you do do not look at the bottom left corner of 3:23 😅
Fascinating stuff!!!! I admire and respect the individuals who tackle such beautiful problems. I wish I could be on that level.
Can the interpolation problem be used to solve the travelling salesman problem I wonder?
can you do 2022's Biggest Breakthroughs neurology/ medicine. please and thank you
Wow you read about neurology interesting
it's not what you think .
Wow the buble problem can lead to major improvments in Pharmacy and drug design
His voice was not what I expected.
The first animation shown is two dots and the narrator asks "What kind of curve is uniquely defined by these two points?". Then proceeds to draw a straight line through it as if that was the answer to the question. Am I missing something here or is it obvious that, a line isn't a curve. I even Googled if a line can be considered a type of curve in any way shape or form and it says that a true definitive term of a line is a straight direction with no curve at all. I'm watching this to become smarter. Not be misinformed, so what's truly happening right now and is did the video's creator just make a mistake or something?
Mathematicians considered straight lines to be curves. There's a technical definition of curve that includes straight lines
"watching this to become smarter" is the dumbest thing I heard today. You're just procrastinating. The only way to actually be smarter is to study.
Which tools have been used to create these animations??
Most likely AfterEffects
3:23 some kind of serious curves, Must be graet a graet discovery.
I can swear i saw this video yesterday but it's published one hour ago, wtf?
Reup
There is a pinned comment explaining the original version had an error in it so they re-uploaded to correct that.
@@IanGrams thanks!!
@@griseld you're very welcome :]
Levi was actually on to something when he said "Give up on your dreams and DIE!!!"
Goofy ahh voice on that husband
hahahaahhah the dude from the interpolation problem. his voice hahahahahah
I wonder how many of these problems will be solved via AI in the near future.
I love that these people have a chance to pursue their passions and solve these difficult problems.
4:54 Having a surname like Neiman and dressing up like Magnus seems to be the new trend.
This video has way less views for its quality of content even though it's just a day old. Keep up your amazing work!
3:22 GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD
3:23 bottom left lol
1:34 - They are real-life Sheldon and Amy "The big bang theory" 😂
Really, naturally interesting - thank you!
I can't wait until I get farther in college and can actually understand this
I feel smart watching math videos that I don't understand.
I’m interested in how much these people depend on smaller simpler pieces of math/algorithms applied iteratively using computers. This is something hinted at in wolfram’s famous/infamous book.
You have no idea how long I look forward to these videos
You work of anything, specially pure math hard enough, sht will happen. Nothing genius about this. Just normal hard work, non toxic environment and be modestly well off financially.
Nice! The graph solution of the last guys might combine nicely with the Wolfram physics model...
At 3:22 who is that bad student who can point out the dirty curve?! 😆🤣
Every particle had a time where it was apex particle....
Little by little the universe had to be reborn over and over again till we get all the particle types we see today...
Apex doesn't mean only. There is apex powerful😅
And then there is apex overwhelming
The powerful are alot less therefore recycling the "Main" apex, giving enough room for particle evolution.
Higgs era stars and black holes
Lepton era stars and black holes
Etc etc
Eventually you'll reach a limit where inevitably it all collects into black holes.... Till all protons are obsorbed and there is nothing left to the universe except a black hole that's evaporating back to it's simplest truest form possible
Or we were always wrong and the black hole is the mouth and the anus of matter, the big void is dark energy quede for matter reassembly
Alright, is that bubble problem solution not evidence of the holographic principle / the likelihood our universe has n-dimensions beyond 4 (12 imo f theory seems promising)
I did not expect his voice to sound like that
Amazing video! Please do more of these.
🟥
nerds💀💀💀💀💀💀💀💀💀💀💀💀💀💀🤓🤓🤓🤓🤓🤓🤓🤓🤓🤓🤓🤓
Amazed by the enthusiasm and determination of researchers. Great video, well presented
The solution is 42.
All of the mathematicians may not know other ones in this video but, There is a person in this video who now knows solutions of all three problems ,
The narrator: Thomas Hagena
I have no clue what they' re talking about but I still watch to the end.
6:42 the guy on the right looks like Hugh Jackman
We got Wolverine solving math problems
When we gonna get Darwin solving quantum problems....
I'll be honest, I clicked on this because my first thought was "there are breakthroughs in math??"
And now I know. Pretty neat
On a weekly basis, my friend.
Well, something I found out is that if you make a list of n to the power of 2 like this: (I'm not sure if someone has found this math easter-egg)
0² = 0 -> You subtract the results and get those numbers: 1, 3, 5, 7, 9... and if you subtract *again* you get a constant number: 2
1² = 1
2² = 4
3² = 9
4² = 16
5² = 25
...
Now what's interesting is that this also works in exponents bigger than 2. Like:
0³ = 0 -> You subtract like before and you get: 7, 19, 37, 61... and if you subtract *again* you get 12, 18, 24, 30, 36... if you subtract it again, you
1³ = 1 come up with 6
2³ = 8
3³ = 27
4³ = 64
5³ = 125
...
So far i did experimenting with the numbers and came up with a table like this:
Exponent: 2 3 4 5
Constant: 2 6 24 120
Times subtracted: 2 3 4 5
So what we find that the exponent *matches* the amount of subtractions. But when i was looking at the constant, i immediately thought about the factorials, wich means that the constant *matches* the factorial of the exponent. Huh, thats very cool.
Broooo🤯
you rediscovered calculus (derivation in the discrete case)
@@barakeel Oh damn. Haha!
Thank you for bringing attention to the people who are the least appreciated but most impactful.
Incredible! Thank you for this great video and thanks to the researchers for pushing humanity foward.
Cheers
3:23 they knew what they were doing 😏
5:05 Oh yeah I have experience 😏.
Ok, so are we seing a breakthrough in math or a happy life of a couple being together and I'm single since Eons
this is so neat! Love Math!