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From groups to Hopf algebras: Cohomology and varieties for modules

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

February 02, 2018 (11:00 AM PST - 12:00 PM PST)
Speaker(s): Sarah Witherspoon (Texas A & M University)
Location: MSRI: Simons Auditorium
Tags/Keywords
  • group cohomology

  • Hopf algebra

  • support variety

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

6-Witherspoon

Abstract

Group cohomology is a powerful tool in group representation theory.

To a group action on a vector space, one associates a geometric object called its support variety that is defined using group cohomology. Hopf algebras generalize groups and include many important classes of algebras such as Lie algebras and quantum groups. The theory of varieties for modules generalizes to Hopf algebras to some extent, but there are many open questions.

In this introductory talk, we will define Hopf algebras, their cohomology, and the corresponding varieties for modules. We will discuss known and unknown properties and recent and current research on open problems

Supplements
30634?type=thumb 2018.02.02.1100.Witherspoon 552 KB application/pdf Download
Video/Audio Files

6-Witherspoon

H.264 Video 6-Witherspoon.mp4 381 MB video/mp4 rtsp://videos.msri.org/data/000/030/531/original/6-Witherspoon.mp4 Download
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