“Introduction to the wild Riemann-Hilbert correspondence”
Martedì 26 Marzo 2024, ore 17:00 - Aula 1BC45 - Benedetta Facciotti (Phd student at University of Birmingham)
Abstract
In this talk, through simple examples, I will explain the basic idea behind the Riemann-Hilbert correspondence. It is a correspondence between two different moduli spaces: the de Rham moduli space parametrizing meromorphic differential equations, and the Betti moduli space describing local systems of solutions and the representations of the fundamental group defined by them. We will see why such a correspondence breaks down for higher order poles.