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Adam Thomas, University of Warwick
Wednesday 22 November 2023, 16:30-17:30
Complete reducibility and subgroup structure of algebraic groups
- đ¤ Speaker: Adam Thomas, University of Warwick
- đ Date & Time: Wednesday 22 November 2023, 16:30 - 17:30
- đ Venue: MR12
Abstract
The notion of completely reducible (cr for short) subgroups of an algebraic group G was introduced by Serre in the 1990s. Such a G-cr subgroup is a natural generalisation of a subgroup of GL(V) acting completely reducibly on V. Many general results were proved by Bate, Martin, Roehrle and others on G-cr subgroups. My research has focused on classifying connected reductive subgroups of algebraic groups, with complete reducibility giving a polarisation of the problem into different flavour subproblems. After discussing these topics in general, I will discuss ongoing work with Alastair Litterick on how to use these classifications (and subgroup structure information in general) to improve general results on completely reducible subgroups to small characteristics.
Series This talk is part of the Algebra and Representation Theory Seminar series.
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