Andrew Wiles Talks to Hannah Fry
Renowned mathematician Andrew Wiles discusses his work on Elliptic Curves and shares insights on motivation, resilience, and mathematics education in a captivating conversation with Hannah Fry.
Strong Approximation for the Markoff Equation via Nonabelian Level Structures - William Chen
Explore strong approximation for the Markoff equation through nonabelian level structures on elliptic curves, delving into representation varieties and modular interpretations.
Isotrivial Lagrangian Fibrations of Compact Hyper-Kähler Manifolds
Explore a geometria de fibrações lagrangianas isotriviais em variedades hiperkähler compactas, incluindo tricotomia baseada na dimensão de Kodaira e busca por novos tipos de deformação.
Le dernier théorème de Fermat
Plongez dans l'histoire fascinante et la résolution du célèbre théorème de Fermat, un défi mathématique qui a intrigué les esprits pendant plus de trois siècles.
Torsion Points of Elliptic Curves via Berkovich Spaces over Z
Explore torsion points of elliptic curves using Berkovich spaces over Z in this advanced mathematical lecture by Jérôme Poineau at CIRM's thematic meeting on global invariants of arithmetic varieties.
Galois Representations and Statistics - Lecture 1
Explore Galois representations and statistics in arithmetic through an advanced mathematical lecture by René Schoof.
The Differential Calculus for Curves - Differential Geometry
Exploring advanced differential calculus for algebraic curves, including tangent lines, conics, and point classification. Extends to 3D surfaces, offering a comprehensive view of curve analysis.
Modularity of Some Geometric Objects - Definitions, Reasons and State of the Art
Explore zeta functions, L-functions, and Galois representations in geometric objects, focusing on plane projective curves and their conjectured relationships with analytic functions.
Panorama of Mathematics - Manjul Bhargava
Explore the Birch and Swinnerton-Dyer Conjecture with Fields Medalist Manjul Bhargava, delving into rational solutions of polynomial equations and the structure of points on cubic curves.
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.
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.
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.