Zeta Functions of Shimura Varieties: Past, Present, and the Near Future
Explore Zeta functions of Shimura varieties, covering historical developments, current research, and future directions in this advanced mathematical topic.
Counting Non-Tempered Automorphic Forms Using Endoscopy
Explore advanced concepts in automorphic forms and endoscopy, focusing on counting non-tempered forms and their mathematical implications.
Modular Forms and Differential Equations: Connections and Applications
Explore connections between modular forms and differential equations, from historical origins to modern applications in mathematics and physics.
SL(2, Z)-Equivariant Machine Learning with Modular Forms - Theory and Applications
Explore SL(2, Z)-equivariant machine learning, delving into modular forms theory and its practical applications in advanced mathematical modeling.
Hecke Algebras for p-adic Groups and the Explicit Local Langlands Correspondence
Explore Hecke algebras for p-adic groups and the explicit Local Langlands Correspondence in this advanced mathematics lecture by Yujie Xu at CIRM's thematic meeting.
Number Theory over Function Fields - Lecture 6
Explore recent progress in number theory using polynomial analogues over finite fields, connecting to topology, probability, and geometric Langlands theory.
Number Theory over Function Fields - Lecture 5
Explore recent progress in number theory using polynomial analogues over finite fields, connecting to topology, probability, and geometric Langlands theory.
Number Theory over Function Fields - Lecture 4
Explore recent progress in number theory using polynomial analogues over finite fields, connecting geometric perspectives to topology, probability, and automorphic forms.
Number Theory over Function Fields - Lecture 3
Explore recent progress in number theory using polynomial analogues over finite fields, connecting to topology, probability, and geometric Langlands theory.
Number Theory over Function Fields - Lecture 2
Explore recent progress in number theory using polynomial analogues over finite fields, connecting to topology, probability, and geometric Langlands theory.
Number Theory over Function Fields - Lecture 1
Explore recent progress in number theory using polynomial analogues over finite fields, connecting to topology, probability, and geometric Langlands theory.
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.
Period Relations for Arithmetic Automorphic Periods on Unitary Groups
Explore period relations for arithmetic automorphic periods on unitary groups, focusing on Petersson inner products and connections to L-function special values.
Eigenvarieties and Completed Cohomology in p-adic Automorphic Forms
Explore connections between eigenvarieties and p-adic cohomology representation theory, focusing on p-adic families of finite slope automorphic eigenforms.
Mathematical Grand Unification
Explore the concept of mathematical grand unification through a thought-provoking lecture by Bartosz Naskręcki, delving into conjectures and potential connections across mathematical fields.
Eisenstein Series - An Overview
Explore Eisenstein series in a concise, self-contained overview, gaining insights into this mathematical concept and its applications.
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.
Analytical Properties of Automorphic L-Series via its Integral Kernel
Delve into advanced mathematical concepts exploring analytical properties of automorphic L-series through integral kernel analysis, presented by Fernando Andrés Herrera Contreras at IMPA's Number Theory Workshop.
L-functions of Elliptic Curves Over Real Quadratic Fields as Special Values of Automorphic Green's Functions
Delve into advanced number theory concepts exploring L-functions of elliptic curves over real quadratic fields and their relationship to automorphic Green's functions through expert mathematical analysis.
Introduction to the Tamagawa Number Theorem for Function Fields
Delve into advanced number theory concepts through an exploration of Tamagawa numbers, their role in lattice enumeration, L-functions, and geometric interpretations in function fields.
Sub-Weyl Bound for GL(2) L-functions
Delve into advanced number theory concepts focusing on Sub-Weyl bounds for GL(2) L-functions, exploring circle method applications and their connections to analytic theory.