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Homological algebra and group representations

Connections for Women: Group Representation Theory and Applications February 01, 2018 - February 02, 2018

February 02, 2018 (09:30 AM PST - 10:30 AM PST)
Speaker(s): Jon Carlson (University of Georgia)
Location: MSRI: Simons Auditorium
Tags/Keywords
  • group cohomology

  • support varieties

  • Modular representations

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

Abstract

A standard invariant of a module over a ring is its annihilator, the collection of elements in the ring that multiply as zero on the module. Some geometry can be added by considering the collection of all prime ideals or maximal ideals of the ring that contain the annihilator. Using group cohomology, similar structures can be made to give rough classifications of modular representations of finite groups. Going further, it leads to a classifiction of some distinctve structures in the category of modules over the finite group. We will present an overview of this subject

Supplements
30633?type=thumb 2018.02.02.0930.Carlson 285 KB application/pdf Download
Video/Audio Files

5-Carlson

H.264 Video 5-Carlson.mp4 688 MB video/mp4 rtsp://videos.msri.org/data/000/030/530/original/5-Carlson.mp4 Download
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