Dynamics of torus homeomorphisms and the fine curve graph

Abstract: The fine curve graph is a Gromov hyperbolic graph on which the homeomorphism group of a surface acts. We relate the surface dynamics of a torus homeomorphism to its action on the fine curve graph. In particular we show that the shape of a “big" rotation set is determined by the fixed points on the Gromov boundary of the graph. A key ingredient is a metric version of the WPD property for the homeomorphism group of the torus.

This is joint work with Frédéric Le Roux.

algebraic topologydifferential geometrydynamical systemsgroup theorygeometric topologysymplectic geometry

Audience: researchers in the topic

( paper )

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Geometry and topology online

Series comments: You can also find up-to-date information on the seminar homepage - warwick.ac.uk/fac/sci/maths/research/events/seminars/areas/geomtop/

The talks start at 13:30. Talks are typically fifty minutes long, with ten minutes for questions.

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