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Representations of finite reductive groups: from characteristic zero to transverse characteristic

Introductory Workshop: Group Representation Theory and Applications February 05, 2018 - February 09, 2018

February 06, 2018 (02:00 PM PST - 03:00 PM PST)
Speaker(s): Olivier Dudas (Université Paris 7 - Paris Diderot)
Location: MSRI: Simons Auditorium
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

Abstract

This series of lectures will be centered on decomposition numbers for a special class of finite groups such as GL_n(q), SO_n(q),... E_8(q). I will first present what kind of numerical invariants decomposition numbers are, and what representation-theoretic problems they can solve. For finite reductive groups, I will explain how one can use Deligne--Lusztig theory to get basic sets of ordinary characters and to compute decomposition numbers. If time permits, I will mention a few open problems, including the case of small characteristic.

 

Lecture 1 - Generalities on decomposition numbers

Lecture 2 - Basic sets for finite reductive groups

Lecture 3 - Computing decomposition numbers

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Video/Audio Files

7-Dudas

H.264 Video 7-Dudas.mp4 393 MB video/mp4 rtsp://videos.msri.org/data/000/030/564/original/7-Dudas.mp4 Download
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