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SUMMARY:Counting extensions of Characters of Spin groups\, equivariant Jor
 dan decomposition and the McKay Conjecture - Britta Späth (Bergische Univ
 ersität Wuppertal)
DTSTART:20220510T090000Z
DTEND:20220510T095000Z
UID:TALK172781@talks.cam.ac.uk
DESCRIPTION:In the talk I present some new results about the action of aut
 omorphisms on characters of Spin groups. For their proofs it is crucial to
  count and determine characters extending to an overgroup obtained by addi
 ng a graph and a field automorphism.&nbsp\;A by-product is an equivariant 
 Jordan decomposition for characters of quasi-simple groups. We will also d
 escribe the implications for the inductive McKay condition. The whole appr
 oach builds on a Malle's result about the action of automorphisms on cuspi
 dal characters and ensures that a character bijection given by him &nbsp\;
 can be chosen equivariant in some cases.&nbsp\;
LOCATION:Seminar Room 1\, Newton Institute
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