University of Cambridge > Talks.cam > Number Theory Seminar > Patching and the completed homology of locally symmetric spaces.

Patching and the completed homology of locally symmetric spaces.

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  • UserJames Newton (King's College London)
  • ClockTuesday 18 October 2016, 14:30-15:30
  • HouseMR13.

If you have a question about this talk, please contact Jack Thorne.

I will explain a variant of Taylor—Wiles patching which applies to the completed homology of locally symmetric spaces for PGL over a CM field. Assuming some natural conjectures about completed homology, I will describe some applications of our construction to the study of Galois representations and (p-adic) automorphic forms. This is joint work with Toby Gee.

This talk is part of the Number Theory Seminar series.

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