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 Events
Humboldt-Universität zu Berlin
Thu 30 Mar 2017, 3:30pm
Number Theory Seminar / PIMS Seminars and PDF Colloquiums
ESB 4127
Supersingular Hecke modules for GL_n(F) and (\psi,Gamma)-modules
ESB 4127
Thu 30 Mar 2017, 3:30pm-4:30pm

Abstract

Let F be a finite extension field of {\mathbb Q}_p. Let {\mathcal H} be the pro-p-Iwahori-Hecke algebra for {\rm GL}_n(F), with coefficients in the residue field k of {\mathcal O}_F (or a finite extension of it). We are going to discuss an exact functor D from the category of supersingular {\mathcal H}-modules to the category of (\psi,\Gamma)-modules over k((X)). The latter category generalizes in a straightforward way the one defined and studied by Colmez in the case F={\mathbb Q}_p; in particular, it admits an exact functor to the category of (\varphi,\Gamma)-modules, and hence to that of Galois representations. Our main result today is that the functor D is almost fully faithful, i.e. it is fully faithful when restricted to the category of supersingular {\mathcal H}-modules satisfying a very mild additional assumption.


(This talk is part of the PIMS focus semester on the mod p Langlands program).
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Ecole Normale Supérieure de Lyon
Thu 27 Apr 2017, 3:30pm
Number Theory Seminar / PIMS Seminars and PDF Colloquiums
ESB 4127
TBA
ESB 4127
Thu 27 Apr 2017, 3:30pm-5:00pm

Abstract

TBA

(This talk is part of the PIMS focus semester on the mod p Langlands program).
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Pierre Colmez, Wieslawa Niziol, and others
Mon 15 May 2017, 11:00am
Number Theory Seminar / PIMS Seminars and PDF Colloquiums
Week of May 15 - Lectures on p-adic geometry (details TBA)
Mon 15 May 2017, 11:00am-1:00pm

Abstract

During the week of May 15 through May 19 there will be lectures by several visitors as part of the PIMS focus period on Representations in Arithmetic, on the topics in p-adic geometry related to Scholze's work on perfectoid spaces. This listing is a placeholder until there's a specific schedule set for the talks.

The talks by Colmez and Niziol will have the following title and abstract:
Title: "p-adic etale cohomology of p-adic symmetric spaces"
Abstract: "We will present different ways to compute the p-adi etale cohomology
of layers of the Drinfeld tower, and give applications to the p-adic local Langlands correspondence".


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University of Toronto
Thu 25 May 2017, 3:30pm
Number Theory Seminar / PIMS Seminars and PDF Colloquiums
ESB 4127
TBA
ESB 4127
Thu 25 May 2017, 3:30pm-4:30pm

Abstract

 
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