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SUMMARY:A brief introduction to algebraic groups: their subgroup structure
  and representation theory - Adam Thomas Imperial College London
DTSTART:20131011T143000Z
DTEND:20131011T153000Z
UID:TALK48024@talks.cam.ac.uk
CONTACT:Julian Brough
DESCRIPTION:We will briefly describe the basics of algebraic group theory\
 , when studied over algebraically closed fields. We will survey some impor
 tant results concerning their subgroup structure\, including Liebeck-Seitz
 ’s Theorem on maximal subgroups of the exceptional algebraic groups in p
 ositive characteristic. The representation theory of algebraic groups is p
 articularly nice and we will show how all irreducible modules can be descr
 ibed using Steinberg’s Tensor Product Theorem. The motivation behind thi
 s is to be able to talk about $G$-irreducible subgroups of exceptional alg
 ebraic groups and in particular the speaker’s recent work on them. Time 
 permitting\, some of these results will be discussed and the background of
  the problem. 
LOCATION:CMS\, MR3
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