2-Selmer Groups, 2-Class Groups, and the Arithmetic of Binary Forms
Explore Selmer groups, class groups, and binary forms in number theory. Gain insights into elliptic curves, hyperelliptic Jacobians, and superelliptic equations in this advanced mathematics seminar.
On the P=W Conjecture II
Exploration of the mirror P=W conjecture, its evidence in low dimensions, and potential verification methods using Lagrangian torus fibrations. Discusses work with Katzarkov-Przyjalkowski and Katzarkov-Pantev.
Euler's and Fermat's Last Theorems, the Simpsons and CDC6600
Explore Fermat's last theorem, Euler's conjecture, and their connections to pop culture and computing history. Delve into mathematical proofs and historical insights.
Probability Theory for Random Groups Arising in Number Theory
Explores probability theory for random groups in number theory, topology, and combinatorics. Covers moment problems, universality theorems, and distributions of class groups and Selmer groups.
Analysis with Simple Lie Groups and Lattices
Explore advanced mathematical concepts focusing on simple Lie groups and lattices, delving into their analytical properties and applications in modern algebra and geometry.
Traces of CM Values and Geodesic Cycle Integrals of Modular Functions
Explores generating series of CM value traces and geodesic cycle integrals of modular functions, covering theta lifts and applications to L-series and cycle integral rationality.
Lattices in Low-Dimensional Topology
Explore advanced concepts in low-dimensional topology, focusing on lattice structures and their applications in geometric and topological analysis.
Lattices in Low-Dimensional Topology
Explore the fascinating intersection of lattice theory and low-dimensional topology, delving into fundamental concepts and their applications in geometric and topological structures.
Packings of Partial Difference Sets
Explore the mathematical concept of packings of partial difference sets in this concise talk by Shuxing Li, delving into new advances in designs, codes, and cryptography.
Computational Aspects of Nonabelian Chabauty - Lecture 1
Explore computational techniques for Nonabelian Chabauty methods in arithmetic geometry, focusing on rational points on modular curves and advanced number theory concepts.
The Chabauty-Coleman-Kim Method: From Theory to Practice - Lecture 3
Exploring advanced techniques in arithmetic geometry for analyzing rational points on modular curves, focusing on the Chabauty-Coleman-Kim method and its practical applications.
Classical and Quadratic Chabauty - Lecture 3
Explore advanced techniques in arithmetic geometry: Classical and Quadratic Chabauty methods for studying rational points on modular curves, with applications to elliptic curves.
The Chabauty-Coleman-Kim Method: From Theory to Practice - Lecture 2
Explore advanced techniques in arithmetic geometry, focusing on the Chabauty-Coleman-Kim method for studying rational points on modular curves. Gain insights into theoretical foundations and practical applications.
The Chabauty-Coleman-Kim Method: From Theory to Practice - Lecture 1
Explore advanced techniques for studying rational points on modular curves, focusing on the Chabauty-Coleman-Kim method and its theoretical and practical applications in arithmetic geometry.
The Chabauty-Coleman-Kim Method: From Theory to Practice - Lecture 4
Explore advanced techniques in arithmetic geometry, focusing on the Chabauty-Coleman-Kim method for studying rational points on modular curves. Gain insights into theoretical foundations and practical applications.
Classical and Quadratic Chabauty - Lecture 3
Explore advanced techniques in arithmetic geometry: Classical and Quadratic Chabauty methods for studying rational points on modular curves, with applications to elliptic curves.
Complex Multiplication: Past, Present, Future - Lecture 2
Explore the evolution and future prospects of complex multiplication in mathematics with Benedict Gross in this insightful lecture from the Joint Mathematics Meetings.
Complex Multiplication: Past, Present, Future - Lecture 1
Explore the history and foundations of complex multiplication in this engaging lecture by renowned mathematician Benedict Gross, delving into its past developments and current significance.
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.
Rational Points on Modular Curves - Lecture 3
Explore advanced techniques for studying rational points on modular curves, focusing on geometry, Q-rational points, Chabauty methods, and computational aspects in arithmetic geometry.
Rational Points on Modular Curves - Lecture 2
Explore advanced techniques for studying rational points on modular curves, focusing on geometry, Q-rational points, Chabauty methods, and computational aspects in arithmetic geometry.