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SUMMARY:Equivariance\, extendibility and inductive McKay conjecture in typ
 e A
DTSTART:20130429T090000
DTEND:20130429T101500
DTSTAMP:20260407T045344Z
UID:6764641d4ad0aa88779efd1f5e9f7b6a56e5daaf4cb6460e2b6f462c
CATEGORIES:Conferences - Seminars
DESCRIPTION:Marc Cabanes [Paris 7]\nJohn McKay's conjecture (1970) is an e
 lementary global/local statement relating characters of a group and of its
  Sylow normalizer. The inductive McKay condition\, due to Isaacs-Malle-Nav
 arro\, is a condition on finite quasi-simple groups\, which implies the Mc
 Kay conjecture for all finite groups (Isaacs-Malle-Navarro\, 2007). The fi
 rst half of this condition is the usual conjecture in an O-equivariant for
  O the group of outer automorphisms. The second half is a condition in ter
 ms of cocycles on O. We show how to check the condition in the case of sim
 ple groups of type PSL and PSU. This uses generalized Gelfand Graev repres
 entations (Kawanaka 1985) and d-Harish Chandra theory (Fong-Srinivasan 198
 6). Joint work with B. Späth.
LOCATION:MA A3 31
STATUS:CONFIRMED
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