University of Cambridge > Talks.cam > Differential Geometry and Topology Seminar > C⁰-symplectic topology and the Arnold conjecture.

C⁰-symplectic topology and the Arnold conjecture.

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  • UserVincent Humiliere, Jussieu
  • ClockWednesday 11 May 2016, 16:00-17:00
  • HouseMR13.

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According to the now established Arnold conjecture, the number of fixed points of a Hamiltonian diffeomorphism is always greater than a certain value that only depends on the topology of the manifold. In any case, this value is at least 2. Does the same hold if we drop the smoothness assumption? After introducing symplectic/Hamiltonian homeomorphisms, I will sketch the construction of a Hamiltonian homeomorphism with only one fixed point on any closed symplectic manifold of dimension at least 4. This is joint work with Lev Buhovsky and Sobhan Seyfaddini.

This talk is part of the Differential Geometry and Topology Seminar series.

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