Masterclass: High dimensional cohomology of moduli spaces

at.algebraic-topology gt.geometric-topology
Start Date
2021-06-28 
End Date
2021-07-02 
Institution
University of Copenhagen, Centre for Geometry and Topology 
City
Copenhagen 
Country
Denmark 
Meeting Type
Masterclass 
Homepage
https://www.math.ku.dk/english/calendar/events/hdcms/ 
Contact Name
Peter Patzt 

Description

In this Masterclass, we will learn about the high dimensional cohomology of moduli spaces such as the moduli space of curves, graphs, and lattices. These moduli spaces are classifying spaces of groups such as mapping class groups, automorphism groups of free groups, and arithmetic groups. We will learn about duality groups whose high dimensional cohomology of these moduli spaces is related to the low degree homology groups with twisted coefficients. We will also discuss graph homology and tropical curves.

The masterclass is aimed at advanced graduate students and postdocs with an interest in algebraic topology and geometric group theory. Connections with algebraic geometry and number theory will be mentioned but this is not the primary focus.

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