(Hierarchically) hyperbolic quotients of mapping class groups
Also appears in collection : 2022 - T2 - WS3 - Hyperbolic groups and their generalisations
The Dehn fillings of a relatively hyperbolic group are useful relatively hyperbolic quotients constructed in a certain way inspired by Thurston's hyperbolic Dehn filling theorem. In the context of Mapping class groups, a reasonable analogue of Dehn fillings are quotients by large powers of Dehn twists. I will discuss these and related quotients, which in particular provide many infinite hyperbolic quotients of mapping class groups in low complexity. Based on joint works with Behrstock, Dahmani, Hagen, and Martin.
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