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SUMMARY:Complete reducibility and subgroup structure of algebraic groups -
  Adam Thomas\, University of Warwick
DTSTART:20231122T163000Z
DTEND:20231122T173000Z
UID:TALK207994@talks.cam.ac.uk
CONTACT:Adam Jones
DESCRIPTION: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 su
 bgroup is a natural generalisation of a subgroup of GL(V) acting completel
 y reducibly on V. Many general results were proved by Bate\, Martin\, Roeh
 rle and others on G-cr subgroups.  My research has focused on classifying 
 connected reductive subgroups of algebraic groups\, with complete reducibi
 lity giving a polarisation of the problem into different flavour subproble
 ms. 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 completel
 y reducible subgroups to small characteristics.
LOCATION:MR12
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