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SUMMARY:Irreducible subgroups of algebraic groups - Adam Thomas (Imperial)
DTSTART:20131023T153000Z
DTEND:20131023T163000Z
UID:TALK48481@talks.cam.ac.uk
CONTACT:David Stewart
DESCRIPTION:Abstract: A subgroup of a semisimple algebraic group G is said
  to be G-irreducible if it lies in no proper parabolic subgroup of G.  A r
 esult of Liebeck and Testerman shows that connected G-irreducible subgroup
 s are nearly maximal and therefore interesting to study. Work of Stewart\,
  Amende and Liebeck-Seitz gives some partial results on simple connected G
 -irreducible subgroups for G an exceptional algebraic group. I will discus
 s recent work I have done in classifying all connected G-irreducible subgr
 oups\, up to conjugacy\, in all characteristics. This classification gives
  us the 'lattice' structure of the connected G-irreducible subgroups. I wi
 ll also discuss some corollaries of this structure as well as future work.
LOCATION:MR12
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