On Diophantine Equations Related to Fibonacci numbers - Maria Eduarda Ramos Pereira (UFMG)

Speaker: Maria Eduarda Ramos Pereira (UFMG) - On Diophantine Equations Related to Fibonacci numbers
Event page: bit.ly/3C3MDuz
Videos playlist: bit.ly/3C2KIX8
IMPA, Rio de Janeiro, October 28th - November 1st, 2024
Over the last few decades, we have seen many advances made in several branches of Number Theory on the international scene, both in analytic and algebraic aspects, such as finite distances between consecutive primes by Zhang and Maynard (Fields 2022) and packing of spheres in dimensions 8 and 24 by Viazovska (Fields 2022), among many other important results. At the same time, in recent decades we have seen an increase in the number of researchers working in the field of Number Theory nationwide, but in different corners of Brazil.
The 1st Brazilian Workshop in Analytic Number Theory aims to bring together these researchers in order to foster new collaborations, establish a network and display what kind of Number Theory is being done currently in the country.
External page: sites.google.c...
Speakers:
Marco Aymone, UFMG - Convolution of periodic multiplicative functions and the divisor problem
Mikhail Belolipetsky, IMPA - On Lehmer’s problem and hyperbolic geometry
Andrés Chirre, PUC - Peru - Remarks on a formula of Ramanujan
Lucile Devin, Université du Littoral Côte d’Opale - Low lying zeros in families related to CM elliptic curves
Cayo Dória, UFS - Arithmetic, Dynamics and Geometry in the length spectrum of hyperbolic manifolds
Tiago Fonseca, IMECC - Unicamp - Single-valued integrals and modular forms
Bryce Kerr, University of South Wales - Kloosterman sums over families of lattices
Oleksiy Klurman, University of Bristol - Partition Regularity of Squares
Davi Lima, UFAL - Counting and Hausdorff Measures for integers and p-adic integers
Carlos Gustavo Moreira, IMPA - Fractal geometry of the Markov and Lagrange spectra and their set difference
Amilcar Pacheco, UFRJ - Towards a formulation of the Birch and Swinnerton-Dyer for abelian schemes over varieties over finite fields
Olivier Ramaré, Aix Marseille Université - Arithmetical Exponential Sums: An Urchin Story
Savio Ribas, UFOP - Factorizations, elasticities and zero-sum sequences
Sinai Robins, USP - Multi-tilings and the geometry of numbers, using the Siegel-Bombieri approach
Cathy Swaenepoel, Université Paris Cité - Reversible primes
Jeanine Van-Order, PUC-Rio - L-functions of elliptic curves over real quadratic fields as special values of automorphic Green’s functions
Organizing Committee:
Marco Aymone (UFMG)
Felipe Gonçalves (IMPA)
Ramon Nunes (UFC)
Suely Lima (IMPA)
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