Automorphisms of Fine Graphs and Some Rotation Properties

par Prof. Maxime Wolff (IMJ-PRG)

lundi 17 janv. 2022, 16:00 → 17:15 Europe/Paris

Amphithéâtre Léon Motchane (IHES)

Recently Bowden, Hensel and Webb defined the fine graph of surfaces, extending the notion of curve graphs of surfaces to the study of homeomorphism or diffeomorphism groups of surfaces. Later Long, Margalit, Pham, Verbene and Yau proved that for a closed surface of genus g≥2, the automorphism group of the fine graph is no larger than the homeomorphism group of the surface, while Bowden, Hensel, Mann, Militon and Webb related properties of the rotation sets of torus homeomorphisms to their action on this fine graph. In undergoing joint work with Frédéric Le Roux, we extend the result of automorphism groups to the torus case, and in fact, to any surface of positive genus, and explore further the properties of homeomorphisms related to their action on the fine graph.

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IHES Covid-19 regulations:

- all the participants who will attend the event in person will have to keep their mask on in indoor spaces
and where the social distancing is not possible;
- speakers will be free to wear their mask or not at the moment of their talk if they feel more comfortable
without it;
- Up to 25 persons in the conference room, every participant will be asked to be able to provide a health pass
- Over 25 persons in the conference room, every participant will be asked to provide a health pass which will
be checked at the entrance of the conference room.

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