EVENT DETAILS AND ABSTRACT


Number Theory

Title: Genetic of local \(p\)-adic Galois representations
Speaker: Ariane M├ęzard
Speaker Info: Jussieu
Brief Description:
Special Note:
Abstract:

In this talk, we define a combinatorial data, said the gene, associated to a modulo \(p\) Galois representation \(\bar{\rho}\) and a Galois type. We prove that this gene encodes explicit information on geometric deformations of \(\bar{\rho}\). First, the gene provides an explicit easy instant description of Kisin variety parametrizing Breuil-Kisin modules associated to potentially Barsotti-Tate deformations of modulo \(p\) Galois representations of dimension 2. Then we explain how we may deduce the associated deformation ring in non generic cases. This is joint work with Xavier Caruso and Agnes David.
Date: Monday, June 01, 2015
Time: 4:00PM
Where: Lunt 107
Contact Person: Patrick Allen
Contact email: pballen@math.northwestern.edu
Contact Phone:
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