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Kathryn Mann: Large-scale geometry of big mapping class groups (RLGTS, 30 June 2020)

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Lukas Lewark

Kathryn Mann: Large-scale geometry of big mapping class groups (RLGTS, 30 June 2020)

Abstract:

Mapping class groups of infinite type surfaces are not finitely generated (nor even are they locally compact) groups, but in many cases one can still meaningfully talk about their large scale geometry. I will explain joint work with Kasra Rafi on the problem of which surfaces have mapping class groups with nontrivial coarse geometry, and how this relates to questions of actions on arc and curve complexes.

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