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Representation theory of reductive algebraic groups: techniques and applications

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

February 06, 2018 (03:30 PM PST - 04:30 PM PST)
Speaker(s): Donna Testerman (École Polytechnique Fédérale de Lausanne (EPFL))
Location: SLMath: Eisenbud Auditorium
Tags/Keywords

  • algebraic group

  • reductive

  • representation

  • weight

  • parabolic

  • tensor product

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

8-Testerman
Abstract
The lectures will serve as an introduction to the representation theory of reductive linear algebraic groups,
with the goal of illustrating techniques and applications to some ongoing research problems.
Foundational material should include: highest weight theory and irreducible modules, Weyl modules
and induced modules, extension theory, dual modules, Steinberg tensor product theorem, restriction to Levi
factors, weight multiplicities.
The more advanced topics will be chosen from: applications to subgroup structure of reductive groups,
branching problems, and some current research directions.
Supplements
30355?type=thumb Testerman Abstract 21.3 KB application/pdf Download
Video/Audio Files

8-Testerman

H.264 Video 8-Testerman.mp4 427 MB video/mp4 rtsp://videos.msri.org/data/000/030/565/original/8-Testerman.mp4 Download
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