Deeper into the mapping class group via configurations

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• Andreas Stavrou (Cambridge)
• Wednesday 15 February 2023, 16:00-17:00
• MR13.

If you have a question about this talk, please contact Oscar Randal-Williams.

Configuration spaces are tools to study manifolds “a few points at a time” and their homology can capture more information than the homology of a space itself. I will defend this claim by focusing on how the homology of configuration spaces of surfaces viewed as representations of the surface mapping class group “sees deeper into” the mapping class group than does the homology of the surface. We will see two approaches for doing this: one more algebraic, through mapping spaces, and one more constructive and pictorial.

This talk is part of the Differential Geometry and Topology Seminar series.

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