Vincent Humilière will talk in the geometry seminar on 1st March 2016. The talk will be held from 2-3 in the Salle de Profs (9th floor, building NO). Vincent’s title is *“A C^0 counter example to the Arnold conjecture”* and his abstract is below.

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 some introduction on symplectic 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.