Representations of Reductive Groups Over Local and Global Fields
Dive into Langlands' theory of reductive groups and their representations in number theory, exploring local and global fields and their connections to arithmetic and geometry.
On the Left Adjoint of mod p Smooth Parabolic Induction
Delve into advanced mathematical concepts exploring parabolic induction functors, focusing on left adjoint properties and their behavior with algebraic weights in p-adic field extensions.
The Harder-Narasimhan Filtration and Stability Conditions for Vector Bundles
Delve into the mathematical theory of stability conditions and Harder-Narasimhan filtration for vector bundles, exploring their applications in geometric invariant theory and moduli spaces.
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.
Generic Character Sheaves for Parahoric Subgroups
Exploration of Lusztig's character sheaves theory, extending to positive-depth cases and addressing Lusztig's conjecture. Focuses on perverse sheaves and parahoric Deligne-Lusztig induction in representation theory.
Symmetric Closed Subsets of Real Affine Root Systems and Regular Su - Short Talk by Irfan Habib
Explores symmetric closed subsets of real affine root systems and their applications in representation theory, focusing on algebraic and combinatorial methods.
Abelianizations of Lie Algebras by Dynkin Combinatorics
Explore Dynkin combinatorics to understand abelianizations of Lie algebras, delving into advanced algebraic structures and their representations in modern mathematics.
Representations of Extended Affine Lie Algebras by Senapathi Eswara Rao
Explore representations of extended affine Lie algebras, delving into advanced algebraic structures and their applications in mathematical physics and quantum field theory.
From Faces of Weyl Polytopes, to Weights and Characters of Highest Weight Modules by Apoorva Khare
Explore connections between Weyl polytopes, weights, and characters in highest weight modules. Gain insights into algebraic and combinatorial methods in representation theory.
The Mystery and Magic of Component Tableaux by Anthony Joseph
Explore the intricacies of component tableaux in representation theory, uncovering their mysterious properties and magical applications in algebraic structures.
Hasse Principle for Reductive Groups over P-Adic Function Fields
Explore the Hasse Principle for reductive groups over p-adic function fields in this advanced mathematics lecture by Raman Parimala, part of a program on Zariski dense subgroups and number theory.
Eigenvarieties and Arithmetic - Connection to L-Functions
Explore eigenvarieties, p-adic automorphic forms, and their connection to L-functions. Discover the local geometry of eigenvarieties and its significance in arithmetic.
Support Variety Theory for Algebraic Supergroups
Explore algebraic supergroups and support variety theory in this advanced mathematics lecture, focusing on representations and Frobenius symmetric monoidal tensor categories.
Unipotent Character Sheaves and Strata of a Reductive Group
Explore unipotent character sheaves and strata of reductive groups with George Lusztig, delving into advanced mathematical concepts and their applications.
Springer Theory for Homogeneous Affine Springer Fibers
Explore Springer theory for homogeneous affine Springer fibers, examining their role in geometric representation theory and connections to Hitchin integrable systems and quantum groups.
Equivariant Derived Category of a Reductive Group as a Categorical Center
Explore equivariant derived categories of reductive groups and their role as categorical centers in representation theory.
Structure of Equivariant Derived Categories - ICBS 2024
Explore equivariant derived categories, their structure theorems, and applications to GIT quotients and hidden symmetries in algebraic geometry.
Similarities Between Representation Theories of Finite Groups in Positive Characteristic and Algebraic Supergroups
Explore similarities between representation theories of finite groups in positive characteristics and algebraic supergroups, including Sylow subgroups and Green correspondence for supergroups.
Globalization of Supercuspidal Representations Over Function Fields and Applications - Lecture 3
Delve into advanced automorphic representation theory, exploring Poincare series, supercuspidal representations, and Langlands-Shahidi theory in function fields through expert mathematical discourse.
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.
The Global Hecke Action - Talk 41
Delve into geometric Satake theory and explore how Rep(G^vee) actions on BunG sheaves integrate into global Hecke modifications, with applications in Betti, de Rham, and étale settings.