Motives and Automorphic Representations
Explore motives and automorphic representations in advanced mathematics with James Arthur's insightful conference talk at CIRM.
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.
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.
What is an L-function? - An Introduction to Zeta and L-functions in Number Theory
Explore the evolution of L-functions from Euler to Langlands, understanding their crucial role in prime number distribution and mathematical research.
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.
Point Counting over Finite Fields and the Cohomology of Moduli Spaces of Curves
Explore algebraic geometry through point counting over finite fields and cohomology of moduli spaces of curves, resolving longstanding questions and confirming Langlands program predictions.
Spherical Functions and Mirror Symmetry
Explore spherical functions and mirror symmetry in mathematics, bridging quantum physics and the Langlands Program through innovative interdisciplinary approaches.
New Geometric Structures in the Langlands Program
Explore new geometric structures in the Langlands program, including the moduli space of G-bundles on the curve, and their role in constructing the semi-simple local Langlands correspondence.
Functions on the Commuting Stack via Langlands Duality - ICBS 2024
Explore complex reductive group theory, analyzing cocenters of affine Hecke categories and calculating Whittaker object endomorphisms to derive formulas for commuting stacks.
The Global Unramified Geometric Langlands Equivalence
Explore the global unramified geometric Langlands conjecture, its history, motivation, and recent proof, along with remaining open questions in the field.
Real Reductive Groups, K-Theory and the Oka Principle
Explore real reductive groups, K-theory, and the Oka principle in this advanced mathematics lecture, delving into representation theory and complex analysis concepts.
Quantum Analytic Langlands - Quantisation of Moduli Spaces
Explore quantisation of moduli spaces through diverse perspectives, delving into the intricacies of Quantum Analytic Langlands theory.
Shtukas and Global Langlands for Function Fields - Talk 37
Delve into V. Lafforgue's groundbreaking proof of global Langlands correspondence, exploring shtukas, geometric Satake, and excursion operators in function fields through expert analysis.
Symptotics of the Second Moment of GL(3) Twisted L-functions
Delve into advanced number theory concepts focusing on GL(3) twisted L-functions, their second moment asymptotics, and applications in the circle method within analytic number theory.