Wednesday 1 March 2017 h.14:30, Room 2BC30

Christopher Lazda (Padova, INdAM Marie Curie Fellow)

“Topology, analysis and the Riemann-Hilbert correspondence”

Abstract

The Riemann-Hilbert correspondence gives a way of passing back and forth between topology and differential geometry, describing the behaviour of differential equations in terms of the monodromy of their local solutions. Starting with the example of the logarithm, I will give an introduction to the ideas behind this correspondence in a concrete and down to earth manner, concentrating on the case of Riemann surfaces. If there is time I will also explain how this gives a completely algebraic way to study topological invariants.