Mapping class groups of K3 surfaces from a Thurstonian viewpoint, II: the space of Ricci-flat metrics and the Nielsen realization problem

Benson Farb, University of Chicago
McDonnell Hall A02

To attend virtually, please register at  Minerva Lectures 2024.

In the early 1980's Donaldson introduced moduli spaces of connections as a tool for studying smooth 4-manifolds and their diffeomorphisms .  In this talk I will explain how other moduli spaces (of complex structures, of Ricci-flat metrics, of elliptic fibrations, etc.) can be used to understand diffeomorphisms of 4-manifolds.  ln particular I will explain how this viewpoint can be applied to the Nielsen Realization Problem for K3 surfaces. 

This is joint work with Eduard Looijenga.