HumboldtUniversität 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, 3:30pm4:30pm
Abstract
Let F be a finite extension field of {\mathbb Q}_p. Let {\mathcal H} be the propIwahoriHecke 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, 3:30pm5:00pm
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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 padic geometry (details TBA)

Mon 15 May 2017, 11:00am1:00pm
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 padic 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: "padic etale cohomology of padic symmetric spaces"
Abstract: "We will present different ways to compute the padi etale cohomology
of layers of the Drinfeld tower, and give applications to the padic 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, 3:30pm4:30pm
Abstract
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