Hasse Principle for Function Fields
Explore the Hasse principle's application to function fields, delving into its mathematical implications and theoretical foundations.
Modularity and Monodromy
Explore the intricate relationship between modularity and monodromy in mathematics, delving into advanced concepts and their applications in number theory and algebraic geometry.
Kobayashi Non-Hyperbolicity of Calabi-Yau Manifolds via Mirror Symmetry
Explore Kobayashi non-hyperbolicity of Calabi-Yau manifolds through mirror symmetry. Gain insights into complex geometry, holomorphic curves, and Hodge theory in this advanced mathematical seminar.
Minimal Torsion Curves in Geometric Isogeny Classes
Explore minimal torsion curves in geometric isogeny classes, delving into advanced number theory concepts and computational techniques.
Finite Flat Group Schemes over Z
Explore finite flat group schemes over Z with René Schoof in this advanced arithmetic geometry lecture from the CIRM Symposium.
Computing Euler Factors of Curves
Explore computational methods for determining Euler factors of curves in arithmetic geometry, focusing on advanced mathematical techniques and applications.
Equivariant Elliptic Cohomology
Explore equivariant elliptic cohomology, from motivations to applications in representation theory and global homotopy. Gain insights into elliptic curves, K-theory, and infinity rings.
Integers Expressible as the Sum of Two Rational Cubes
Explore integers expressible as sums of rational cubes with Manjul Bhargava in this advanced mathematical lecture on arithmetic statistics.
Quadratic Twist Families of Elliptic Curves with Unusual 2∞-Selmer Groups
Explore quadratic twist families of elliptic curves with unusual 2∞-Selmer groups in this advanced mathematics talk by Alexander Smith at CIRM's Arithmetic Statistics meeting.
Complex Multiplication - Lecture 1
Explore complex multiplication in mathematics through an in-depth lecture by Jan Vonk, covering fundamental concepts and advanced theories.
Modularity of Abelian Surfaces
Explorez la preuve de la modularité d'une proportion positive de surfaces abéliennes sur les rationnels dans cette conférence mathématique avancée.
An Equation of Diophantus - Introduction to Torsion and Ranks of Elliptic Curves
Explore Diophantus' equation and its impact on number theory, from ancient times to modern developments in elliptic curves and their torsion and ranks.
Isolated and Parameterized Points on Algebraic Curves
Explore isolated and parameterized points on algebraic curves, examining their behavior in families and implications for elliptic curve arithmetic. Gain insights into curve geometry and its connection to arithmetic properties.
The Langlands Project - Connecting Automorphic Forms and Number Theory
Explore the Langlands project's deep connection between automorphic forms and arithmetic, tracing its roots and current challenges in mathematics.
Heights of Algebraic Cycles and Special Values of L-Series - ICBS 2024
Explore heights of algebraic cycles and their connections to L-series special values, focusing on CM points and Gross-Schoen cycles on elliptic curves.
Representations of Simple Affine Vertex Algebras at Elliptic Levels and Affine Springer Fibres
Explore connections between affine vertex algebras and elliptic affine Springer fibres, delving into representation theory and geometric insights.
Quasi Jacobi Forms and Moduli Space of Enhanced Elliptic Curves - GADEPs Conference III
Explore quasi Jacobi forms and moduli space of enhanced elliptic curves in this advanced mathematics lecture by Jin Cao, part of the GADEPs conference on Noether-Lefschetz and Hodge loci.
K2 of Elliptic Curves over Non-Abelian Cubic and Quartic Fields
Explore K_2 of elliptic curves over non-Abelian fields, including constructions, integral elements, and numerical verification of Beilinson's conjecture. Joint work with Brunault, Hang, and Rodriguez Villegas.
Christian Bogner: The Analytic Continuation of the Kite and the Sunrise Integral
Explores advanced Feynman integrals using elliptic generalizations of polylogarithms, discussing properties through periods of elliptic curves and the Picard-Lefschetz theorem.
Elliptic Orthogonal Polynomials and Their Integrability
Explore elliptic orthogonal polynomials and their integrability through Riemann-Hilbert analysis, examining discrete and continuous integrable systems and connections to the sixth Painlevé equation.
Statistical Models on Random Regular Graphs
Explore statistical models on random regular graphs, focusing on matrix-forest theorem, Parisi-Sourlas trick, and applications to 2D quantum gravity and spanning forests.