Perverse Sheaves on Varieties with Large Fundamental Group
Explore perverse sheaves on Kähler manifolds, focusing on a generalization of the Singer-Hopf conjecture and its proof using Shafarevich conjecture ideas. Joint work with Donu Arapura presented.
Representations of Reductive Groups Over Local Fields
Explore reductive group representations over local fields with Tasho Kaletha, delving into advanced mathematical concepts and their applications in algebraic number theory.
Joel Kamnitzer- Perfect Bases in Representation Theory- Three Mountains and Their Springs
Exploration of perfect bases in representation theory, examining three approaches and their combinatorial implications for tensor product multiplicities in semisimple groups.
Classification of Modular Fusion Categories - Part 1 of 2 - IPAM at UCLA
Explore unitary modular tensor categories and their role in classifying topological phases of matter, covering known results, open problems, and techniques from various mathematical fields.
The Orbit Method, Microlocal Analysis and Applications to L-Functions
Explore quantitative orbit method in microlocal analysis, its applications to representation theory, and implications for L-functions, including moment estimates and subconvex bounds.
Automorphic Forms and Representation Theory - Introduction to the Langlands Program
Explore the Langlands Program, connecting automorphic forms and representation theory in advanced mathematics, with insights from James Arthur of the University of Toronto.
Automorphic Forms and Representation Theory - Introduction to the Langlands Program - Lecture 18
Explore the Langlands Program through automorphic forms and representation theory, delving into advanced mathematical concepts and their interconnections.
Automorphic Forms and Representation Theory - Introduction to the Langlands Program - Lecture 14
Explore the Langlands Program, connecting automorphic forms and representation theory in advanced mathematics, with insights from James Arthur of the University of Toronto.
Automorphic Forms and Representation Theory - Introduction to the Langlands Program - Lecture 3
Explore the Langlands Program through automorphic forms and representation theory, delving into advanced mathematical concepts and their interconnections.
Automorphic Forms and Representation Theory - Introduction to the Langlands Program - Lecture 8
Explore the Langlands Program, connecting automorphic forms and representation theory in advanced mathematics, with insights from James Arthur.
Automorphic Forms and Representation Theory - Introduction to the Langlands Program - Lecture 7
Explore the Langlands Program through automorphic forms and representation theory, delving into advanced mathematical concepts and their interconnections.
Automorphic Forms and Representation Theory - Introduction to the Langlands Program - Lecture 6
Explore the Langlands Program, connecting automorphic forms and representation theory in advanced mathematics, with insights from James Arthur of the University of Toronto.
Automorphic Forms and Representation Theory - Introduction to the Langlands Program - Lecture 5
Explore the Langlands Program, connecting automorphic forms and representation theory in advanced mathematics, with insights from James Arthur of the University of Toronto.
Ambidexterity I by Neil Strickland
Explore duality phenomena in algebraic topology, commutative algebra, and modular representation theory. Learn about derived categories, triangulated structures, and Grothendieck duality theory in this advanced mathematics lecture.
On Some Fans and Toric Varieties Related to Branching Laws for Reductive Groups
Explore algebraic group embeddings and their representation theory through Geometric Invariant Theory, focusing on H-invariant vectors and the GIT-fan's role in encoding information.
The Fricke-Macbeath Curve and Triple Product L-Functions
Explore the geometry of the Fricke-Macbeath curve using triple product L-functions, connecting representation theory, geometry, and arithmetic in this advanced mathematical lecture.
Akshay Venkatesh: The Great Connector - Fields Medal Symposium 2022
Explore Akshay Venkatesh's groundbreaking work connecting diverse mathematical fields and his insights on the evolving nature of mathematical research in the digital age.
Embedding DM Stacks into GIT Quotient Stacks of Linear Representations
Explore the embedding of Deligne-Mumford stacks into geometric invariant theory quotient stacks, focusing on linear representations in algebraic geometry.
Eisenstein Series and the Cohomology of Congruence Groups
Explore the interplay between Eisenstein series and congruence group cohomology in this advanced mathematical lecture by Joachim Schwermer, delving into representation theory, geometry, and arithmetic.
Distinguishing Groups and the Group Isomorphism Problem
Explore the scale function in totally disconnected, locally compact groups, its computation methods, and the challenges in obtaining representations for certain groups. Insights into group theory and isomorphism problems.
Raf Bocklandt: Deforming Dimers
Explore deformation theory of dimer models, their relation to mirror symmetry for Riemann surfaces, and various aspects illustrated with examples.