Logo

Mathematical Sciences Research Institute

Home » Workshop » Schedules » Representations of finite reductive groups: from characteristic zero to transverse characteristic

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
Tags/Keywords
  • Decomposition numbers

  • Finite groups of Lie type

  • finite reductive groups;

  • basic sets

  • Deligne-Lusztig theory

Primary Mathematics Subject Classification
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

Supplements No Notes/Supplements Uploaded
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
Buy the DVD

If none of the options work for you, you can always buy the DVD of this lecture. The videos are sold at cost for $20USD (shipping included). Please Click Here to send an email to MSRI to purchase the DVD.

See more of our Streaming videos on our main VMath - Streaming Video page.