High dimensional cohomology of moduli spaces

University of Copenhagen
28 June - 2 July 2021

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.

Graduate students and other early career researchers from US institutes can apply to be considered for financial support.

All graduate students and other early career researchers can apply for financial support to partly cover local expenses. The support should be roughly DKK 500 per day, at most DKK 2500 in total.

If you wish to apply for support, please indicate this on the registration form.

Please note: Due to a match of the UEFA Euro 2020 in Copenhagen on June 28, 2021, the Copenhagen Jazz Festival starting on July 2, 2021, and other events, there will limited accommodation available in Copenhagen. We advise booking accommodation early.

Program

Abstracts for all lectures can be found here: [PDF]

Review package put together by Jennifer Wilson: [PDF]