Configuration Spaces of Surfaces and the Mapping Class group

Andreas Stavrou (University of Cambridge)

Monday 13th June 16:00-17:00 Maths 311B + Online

Abstract

In this talk, I will introduce the notion of the configuration space C_n(X) of a topological space X and I will state some classical results for the homology of C_n(X) for X a manifold. Then I will focus on the case of X being a surface S and discuss what we have recently learned about how the mapping class group of S acts on the homology of C_n(S). Statements and proofs will be accompanied by pictures.

The speaker will be in person but you may attend the talk via Zoom (link here, the passcode is the genus of the two-dimensional sphere - 4 letters all lowercase).

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