YoVDO

Mapping Classes and Moduli Spaces of K3 Manifolds

Offered By: Hausdorff Center for Mathematics via YouTube

Tags

Moduli Space Courses Algebraic Geometry Courses Mapping Class Group Courses

Course Description

Overview

Save Big on Coursera Plus. 7,000+ courses at $160 off. Limited Time Only!
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.

Syllabus

Eduard Looijenga: Mapping classes and moduli spaces of K3 manifolds.


Taught by

Hausdorff Center for Mathematics

Related Courses

Mixing Surfaces, Algebra, and Geometry
Joint Mathematics Meetings via YouTube
On the Nielsen Realization Problem and Cohomology of Mapping Class Groups of Non-orientable Surfaces
IMSA via YouTube
On Mapping Class Groups of Non-Orientable Surfaces
IMSA via YouTube
TQFTs from Non-Semisimple Modular Categories and Modified Traces - Marco de Renzi
Hausdorff Center for Mathematics via YouTube
TQFTs from Non-Semisimple Modular Categories and Modified Traces - Lecture I
Hausdorff Center for Mathematics via YouTube