University of Cambridge > Talks.cam > Number Theory Seminar > Cycle relations in the affine grassmannian and applications to p-adic Galois representations

Cycle relations in the affine grassmannian and applications to p-adic Galois representations

Add to your list(s) Download to your calendar using vCal

  • UserRobin Bartlett (Glasgow) World_link
  • ClockTuesday 23 January 2024, 14:30-15:30
  • HouseMR13.

If you have a question about this talk, please contact Hanneke Wiersema.

The Breuil—M├ęzard conjecture concretely formulates the expectation that, under the Langlands correspondence, natural congruences between automorphic forms should be mirrored by congruences between Galois representations. In this talk I will explain 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 moduli spaces of such representations and more explicit closed subschemes inside the affine grassmannian, constructed as degenerations of products of flag varieties. In particular, the methods also apply to moduli of Galois representations valued in more general split reductive groups than GLn.

This talk is part of the Number Theory Seminar series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

 

© 2006-2024 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity