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SUMMARY:Unipotent representations in the local Langlands correspondence - 
 Beth Romano\, King's College London
DTSTART:20250205T163000Z
DTEND:20250205T173000Z
UID:TALK224710@talks.cam.ac.uk
CONTACT:Adam Jones
DESCRIPTION:The local Langlands correspondence (LLC) is a kaleidoscope of 
 conjectures relating local Galois theory\, complex Lie theory\, and repres
 entations of p-adic groups. This talk will give an introduction to the par
 t of the LLC involving unipotent representations. Reducing modulo p\, we c
 an move from representations of p-adic groups to representations of finite
  reductive groups\, which have a rich structure developed by Deligne--Lusz
 tig. I will talk about joint work with Anne-Marie Aubert and Dan Ciubotaru
  in which we lift some of this structure to p-adic groups. I will not assu
 me previous familiarity with these topics\; instead I'll give an introduct
 ion to these ideas via examples.
LOCATION:MR12
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