Conjectural Asymptotics of Prime Orders of Points on Elliptic Curves Over Number
Explores conjectural asymptotics of prime orders of points on elliptic curves over number fields, advancing understanding in arithmetic geometry and modular curve theory.
Automorphic Lefschetz Properties and L-Values
Explore automorphic Lefschetz properties and L-values in arithmetic geometry with expert Arvind Nair. Gain insights into advanced concepts and their applications in number theory.
P-adic Adelic Metrics, P-adic Heights, and Rational Points on Curves by Padma Srinivasan
Explore P-adic adelic metrics, P-adic heights, and their applications in studying rational points on curves with expert Padma Srinivasan in this advanced mathematics lecture.
On Darmon's Program for the Generalized Fermat Equation of Signature - r, r, p - by Nicolas Billerey
Exploration of Darmon's approach to solving generalized Fermat equations, focusing on signature (r,r,p). Discusses theoretical foundations and computational techniques in arithmetic geometry.
Computing Local Galois Representations Modulo 2 by Shalini Bhattacharya
Explore techniques for computing local Galois representations modulo 2, focusing on arithmetic geometry and modular curves. Gain insights into advanced mathematical concepts and their applications.
The Eisenstein Cycles and Manin-Drinfeld Properties
Explore Eisenstein cycles and Manin-Drinfeld properties in modular curves, focusing on rational points and their significance in arithmetic geometry. Gain insights from expert Debargha Banerjee.
The Principle of Quadratic Chabauty and Nonsplit Cartan Modular Curves
Explore advanced techniques for studying rational points on modular curves, focusing on quadratic Chabauty methods and nonsplit Cartan modular curves in arithmetic geometry.
Ribet's Lemma in Residually Indistinguishable Case by Mahesh Kakde
Exploration of Ribet's Lemma in the context of residually indistinguishable cases, delving into advanced concepts in arithmetic geometry and modular curves theory.
Arithmetic Field Theory for Elliptic Curves by Minhyong Kim
Explore advanced arithmetic field theory for elliptic curves, focusing on rational points on modular curves, Chabauty methods, and computational aspects in arithmetic geometry.
Diophantine Stability for Elliptic Curves on Average by Anwesh Ray
Explore Diophantine stability for elliptic curves, focusing on average-case analysis. Gain insights into arithmetic geometry and modular curves through advanced theoretical and computational approaches.
Endomorphism Algebras of Geometrically Split Abelian Surfaces over Q
Explore endomorphism algebras of geometrically split abelian surfaces over Q in this advanced mathematics talk. Delve into complex algebraic geometry and number theory concepts.