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SUMMARY:Generalized Gelfand-Graev representations for finite groups of Lie
  type - Matthew Clarke\, Cambridge
DTSTART:20091127T130000Z
DTEND:20091127T140000Z
UID:TALK21443@talks.cam.ac.uk
CONTACT:Matthew Clarke
DESCRIPTION:This talk is about the ordinary (complex) representation theor
 y of finite groups of Lie type. I will begin by carefully reviewing algebr
 aic groups and finite groups of Lie type and the construction and properti
 es of (ordinary) Gelfand-Graev representations. I will then introduce gene
 ralized Gelfand-Graev characters\, which are constructed using the Lie alg
 ebra of the ambient algebraic group. Towards the end I hope to give an ide
 a of how generalized Gelfand-Graev characters can and have been used to at
 tack Lusztig's conjecture and the role this plays in the determination of 
 the character tables for finite groups of Lie type.
LOCATION:MR13
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