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.
Stratification and Duality for Representations of Finite Groups - Lecture 2
Explore advanced concepts in finite group representation theory, focusing on stratification and duality principles. Gain insights into algebraic structures and their applications in mathematics.
Quillen's Stratification Theorems - Lecture 3
Explore Quillen's Stratification Theorem(s) in algebraic topology, focusing on key concepts, applications, and implications for understanding cohomological support varieties and triangulated categories.
Quillen's Stratification Theorems - Lecture 2
Explore Quillen's Stratification Theorem(s) in algebraic topology, focusing on key concepts, applications, and implications for understanding cohomological support varieties and triangulated categories.
Stratification and Duality for Representations of Finite Groups - Lecture 3
Explore advanced concepts in finite group representation theory, focusing on stratification and duality principles. Gain insights into algebraic structures and their applications in mathematics.
Marie-France Vigneras - Representations of GLn(D) Near the Identity
Explore representations of general linear groups over p-adic fields, focusing on dimension formulas for fixed points under congruence subgroups and extensions to inner forms.
J. E. Rodriguez Camargo: A Local Jacquet-Langlands Correspondence for Locally Analytic D-Modules
Explore an equivalence between GL₂(F)-equivariant D-modules on Drinfeld space and D*^-equivariant D-modules on P¹, with applications to Scholze's functor and admissible representations.
Tony Feng- A New Approach to Breuil-Mezard Cycles
Explore a novel local and group-theoretic approach to the Breuil-Mezard Conjecture, connecting it to quantum groups and homological mirror symmetry in algebraic number theory.
Lucas Mann- Representation Theory via 6-Functor Formalisms
Explore abstract 6-functor formalisms and their application to representation theory of locally profinite groups, shedding light on classical results and p-adic Lie group representations.
The Weight Part of Serre's Conjecture and the Emerton-Gee Stack
Explore the Breuil-Mezard conjecture's impact on local deformation rings and its connection to Serre's conjecture, focusing on recent advancements in moduli stack theory and p-adic Galois representations.
Representations of P-Adic Groups and Hecke Algebras
Explore p-adic group representations and Hecke algebras, focusing on supercuspidal representations, Bernstein blocks, and their equivalence to depth-zero blocks through Hecke algebra isomorphisms.
Explicit Mod-Ell Categorical Local Langlands Correspondence for Depth-Zero Supercuspidal
Explore the explicit mod-ℓ categorical local Langlands correspondence for depth-zero supercuspidal representations of GL_2, focusing on moduli spaces and smooth representations.
Representation Theory in TCS and Extremal Combinatorics
Explore how Representation Theory extends Boolean function theory, leading to new insights in theoretical computer science and extremal combinatorics.
Explicit Examples of Categorical Local Langlands
Explore explicit examples of categorical local Langlands, focusing on GL_2 and SL_2 groups, examining fully faithful functors, sheaf computations, and connections to Langlands classification.
Superlinear Structures and Conformal Geometry
Explore superlinear structures and conformal geometry, from historical roots to modern applications in physics and mathematics, with insights on representation theory and potential links to the standard model.
Localisation in Homotopy Theory by Abhinandan Das
Explore localization techniques in homotopy theory, focusing on applications and implications for understanding topological spaces and their properties.
Duality and Stratification in Commutative Algebra by Srikanth B. Iyengar
Explore duality and stratification in commutative algebra, focusing on derived categories, triangulated structures, and connections to algebraic topology and representation theory.
Stratification and Duality for Representations of Finite Groups - Lecture 4
Explore finite group representations through stratification and duality concepts. Delve into advanced algebraic techniques and their applications in modular representation theory.
Ambidexterity III by Neil Strickland
Explore advanced concepts in algebraic topology, focusing on ambidexterity and its applications in duality phenomena within tensor-triangulated categories.
Quillen Stratification Theorems - Lecture 4
Explore Quillen Stratification Theorems in algebraic topology, examining their applications and implications for understanding cohomological support varieties and triangulated categories.
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.