Seminar

Number Theory Seminar

NUMBER THEORY AND COMMUNTATIVE ALGEBRA-ALGEBRAIC AND ARITMETIC GEOMETRY JOINT SEMINAR: Twisted differentials operators in several variables I

Speaker:  Pierre Houedry (Caen University and Rennes University)
Date:  Monday, 27 September 2021 - 17:30
Place:  Aula 520, Departamento de Matemáticas (UAM) and online - Microsoft Teams (please, contact daniel.macias@icmat.es)

Abstract:

The theory of  q-difference equations appeared a long time ago with  Birkhoff's work. It is well understood in the complex setting. In 2004, Lucia Di Vizio and Yves André, in the paper q-differences and p-adic local monodromy, gave an equivalence between certain type of q-difference equations and a certain type of classical differential equations in the p-adic setting. Recently, Michel Gros, Bernard Le Stum and Adolfo Quirós have been working on a generalization of this result not looking only for q-difference equations, but also twisted equations in general. The framework that they develop works for equations in one variable. The aim of my presentations is to give an overview of the work I am doing for my  PhD thesis, whose goal is to generalize those results to several variables.