Cohomology of configuration spaces of surfaces as mapping class group representations

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• Andreas Stavrou, University of Cambridge
• Friday 12 November 2021, 16:00-17:00
• MR13.

If you have a question about this talk, please contact Macarena Arenas.

Recently there has been intense study of the homology of configuration spaces of manifolds and many extra structures have been imposed on it to extract more information. We focus on the action of the mapping class group and will present a result for general manifolds. In the case of compact oriented surfaces with one boundary component, we will present the complete answer for the cohomology of its configuration spaces as mapping class group representations, motivate the answer pictorially and give an overview of the steps involved in the proof.

This talk is part of the Junior Geometry Seminar series.

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