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Character theory of finite groups of Lie type

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

February 05, 2018 (09:30 AM PST - 10:30 AM PST)
Speaker(s): Meinolf Geck (Universit├Ąt Stuttgart)
Location: MSRI: Simons Auditorium
Tags/Keywords
  • Finite groups of Lie type

  • characters

  • Deligne-Lusztig theory

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

Abstract

In these lectures we provide an introduction to Lusztig's classification
of the irreducible characters of a finite group of Lie type. This essentially relies on
structural properties of the underlying algebraic group, which will be surveyed
in the first lecture. We then go on to discuss the partition of the set of characters
into series and the Jordan decomposition of characters. Finally, we address the
problem of computing character values, in the framework of Lusztig's theory of
character sheaves
 

Supplements No Notes/Supplements Uploaded
Video/Audio Files

1-Geck

H.264 Video 1-Geck.mp4 136 MB video/mp4 rtsp://videos.msri.org/data/000/030/553/original/1-Geck.mp4 Download
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