Meetings/Workshops on Group Theory in Denmark

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Denmark

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HDCMS — Masterclass: High dimensional cohomology of moduli spaces

28 Jun 2021 - 02 Jul 2021 • Copenhagen, Denmark

Organizer:

Centre of Geometry and Topology at the University of Copenhagen

Abstract:

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.

Contact:

Email: patzt@math.ku.dk

Topics:

Group cohomology, moduli spaces, duality groups, geometric group theory, arithmetic groups

Event listing ID:

1405174

Related subject(s):

Geometry and Topology, Number Theory, Arithmetic

Event website:

https://www.math.ku.dk/english/calendar/events/hdcms/

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