Around a Big Mapping Class Group

Juliette Bavard
University of Chicago
PostDoc

“The  mapping class group of the plane minus a Cantor set arises naturally in many dynamical contexts. To study this “big mapping class group”, we can consider its action on a Gromov-hyperbolic graph called the ‘ray graph’. In this talk, I will present this big mapping class group and its ray graph, and explain why the ray graph has infinite diameter and is Gromov-hyperbolic”.

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