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DTSTART:19700329T010000
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CATEGORIES:Number Theory Seminar
SUMMARY:Cycle relations in the affine grassmannian and app
 lications to p-adic Galois representations - Robin
  Bartlett (Glasgow)
DTSTART;TZID=Europe/London:20240123T143000
DTEND;TZID=Europe/London:20240123T153000
UID:TALK210541AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/210541
DESCRIPTION:The Breuil--Mézard conjecture concretely formulate
 s the expectation that\, under the Langlands corre
 spondence\, natural congruences between automorphi
 c forms should be mirrored by congruences between 
 Galois representations. In this talk I will explai
 n some recent work which establishes new cases of 
 this conjecture for crystalline representations of
  a ramified extension of Qp with small Hodge--Tate
  weights (roughly <= p/e). The approach is purely 
 local and revolves around a comparison between mod
 uli spaces of such representations and more explic
 it closed subschemes inside the affine grassmannia
 n\, constructed as degenerations of products of fl
 ag varieties. In particular\, the methods also app
 ly to moduli of Galois representations valued in m
 ore general split reductive groups than GLn.\n\n
LOCATION:MR13
CONTACT:Hanneke Wiersema
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