Differential Geometry Working Seminar

**THIS SEMINAR HAS BEEN POSTPONED TO FEBRUARY 28, 2023**

Paul Cusson, Department of Pure Mathematics, University of Waterloo

"Holomorphic maps between Riemann surfaces"

Let $M,N$ be Riemann surfaces. When is every continuous map $f: M \to N$ homotopic to a holomorphic map? This question, which deals with a special case of the so-called Oka-principle, is the subject of Winkelmann's paper "The Oka-Principle for Mappings Between Riemann Surfaces". In this talk we will discuss the results of this paper which completely classifies the pairs of Riemann surfaces such that the above question has a positive answer. If time permits, we will look at some cases of higher dimensional complex manifolds for which the Oka-principle holds.

MC 5403