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METHOD:PUBLISH
BEGIN:VEVENT
DTSTAMP:20230417T084546Z
DTSTART:20230418T120000Z
DTEND:20230418T130000Z
SUMMARY:Manchester Number Theory Seminar - Jack Shotton
UID:{http://www.columbasystems.com/customers/uom/gpp/eventid/}p18g-lfgo3i
 6d-sani5w
DESCRIPTION:Joint talk with Algebra seminar - note the unusual time of 1 
 pm\n\nSpeaker: Jack Shotton (Durham)\n\nTitle: Endomorphisms of Gelfand-
 Graev representations\n\nAbstract: The Gelfand-Graev representation is a
 n important representation of a finite group G of Lie type that contains
  each 'generic' representation with multiplicity one. Its endomorphism r
 ing E is therefore commutative. The talk is about the problem of determi
 ning the lattice of integral endomorphisms (over Z_l\, for l different f
 rom the defining characteristic p of G) inside E. I will report on work 
 of Tzu-Jan Li showing that E is\, under some hypotheses\, isomorphic to 
 a ring B coming from invariant theory\, via the Grothendieck ring K of m
 od p representations of G. I will then explain joint work of myself and 
 Li extending this to the case where l does not divide the order of the W
 eyl group. The ring E arises naturally when studying generalisations of 
 the local Langlands correspondence to coefficients in Z_l-algebras\, and
  I will explain how the ring B is related to certain local Galois deform
 ation rings.\n\nRoom: Frank Adams 1
STATUS:TENTATIVE
TRANSP:TRANSPARENT
CLASS:PUBLIC
LOCATION:Frank Adams 1\, Alan Turing Building\, Manchester
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