Arithmetic and Algebraic Geometry: A conference in honor of Ofer Gabber on the occasion of his 60th birthday

Collection Arithmetic and Algebraic Geometry: A conference in honor of Ofer Gabber on the occasion of his 60th birthday

Organizer(s)

Date(s) 13/05/2024

00:00:00 / 00:00:00

7 24

Character formulas in the modular representation theory of algebraic groups

By Geordie Williamson

I will review present two formulas for the characters of representations of reductive algebraic groups in positive characteristic p. Both formulas involve certain polynomials ("p-Kazhdan-Lusztig polynomials") which measure the failure of the decomposition theorem for resolutions of affine Schubert varieties, when the sheaf coefficients are of characteristic p. These formulas are proven under mild bounds on p (e.g. p ≥ 2 × Coxeter number) and are expected to hold uniformly. (This is joint work with S. Riche, with parts also joint with P. Achar and S. Makisumi.)

Information about the video

Date of recording 11/06/2018
Date of publication 25/06/2018
Institution IHES
Format MP4

MSC codes

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All the collection videos

01:27:53

published on June 29, 2018

Entretien avec Ofer Gabber (CNRS & IHES) mené par Luc Illusie (Université Paris-Sud)

By Ofer Gabber

16:45

published on June 28, 2018

Entretien avec Luc Illusie, Université Paris-Sud

By Luc Illusie

13:09

published on June 28, 2018

Entretien avec Nick Katz, Princeton University

By Nick Katz

02:21

published on June 25, 2018

Introduction

By Luc Illusie

01:01:46

published on June 29, 2018

On relative log de Rham-Witt complex

By Atsushi Shiho

56:47

published on June 25, 2018

Stratifying reductive groups

By George Lusztig

01:01:45

published on June 25, 2018

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By Geordie Williamson

53:20

published on June 26, 2018

Hilbert's thirteenth problem and the moduli space of abelian varieties

By Mark Kisin

53:28

published on June 25, 2018

Rigid local systems and (some) finite groups

By Nick Katz

01:05:03

published on June 26, 2018

Prisms and deformations of de Rham cohomology

By Bhargav Bhatt

01:08:47

published on June 26, 2018

Perfectoid spaces and log-regular rings

By Lorenzo Ramero

01:09:21

published on June 26, 2018

p-adic K-theory of p-adic rings

By Peter Scholze

01:02:42

published on June 26, 2018

Perfectoid Cohen-Macaulay rings and homological aspects of commutative algebra in mixed characteristic

By Yves André

01:11:40

published on June 27, 2018

Arakelov geometry on degenerating curves

By Gerd Faltings

01:04:47

published on June 28, 2018

Log Drinfeld modules and moduli spaces

By Kazuya Kato

01:02:28

published on June 28, 2018

Hochschild and cyclic homology of log schemes

By Martin Olsson

01:09:44

published on June 30, 2018

On the classification of p-healthy regular schemes

By Adrian Vasiu

01:08:14

published on June 30, 2018

Fundamental local equivalence for quantum geometric Langlands

By Dennis Gaitsgory

01:13:33

published on January 27, 2015

Spreading-out of rigid-analytic families and observations on p-adic Hodge theory

By Ofer Gabber

01:07:37

published on June 30, 2018

Perverse equivariant sheaves on loop Lie algebras, and affine Springer theory

By Yakov Varshavsky

01:09:45

published on July 1, 2018

Deligne's geometrical approach to the product formula for l-adic epsilon factors

By Fabrice Orgogozo

01:02:57

published on July 1, 2018

Characteristic cycle of constructible sheaves and restriction to curves

By Takeshi Saito

42:46

published on July 1, 2018

Compatible systems along the boundary

By Weizhe Zheng

01:12:16

published on June 30, 2018

Spreading-out for families of rigid analytic spaces (joint work with Brian Conrad)

By Ofer Gabber

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