Mapping Classes and Moduli Spaces of K3 Manifolds

Explore a 59-minute lecture on mapping classes and moduli spaces of K3 manifolds presented by Eduard Looijenga at the Hausdorff Center for Mathematics. Delve into a collaborative research program with Benson Farb that aims to find optimal representations of mapping classes for K3 manifolds. Examine how this work draws parallels to Thurston's approach using Teichmueller theory for closed oriented surfaces. Investigate the role of various K3 surface moduli spaces as analogues to Teichmueller space in this context. Focus on mapping classes of K3 manifolds that act unipotently on cohomology, and discover their connection to moduli of K3 surfaces fibered into genus one curves. Gain insights into this advanced topic in algebraic geometry and topology, bridging concepts from surface theory to higher-dimensional manifolds.