$C^0$ Hamiltonian dynamics and a counterexample to the Arnold conjecture

C0C0 Hamiltonian dynamics and a counterexample to the Arnold conjecture - Sobhan Seyfaddini

Sobhan Seyfaddini
Member, School of Mathematics
November 29, 2016
After introducing Hamiltonian homeomorphisms and recalling some of their properties, I will focus on fixed point theory for this class of homeomorphisms. The main goal of this talk is to present the outlines of a $C^0$ counterexample to the Arnold conjecture in dimensions four and higher. This is joint work with Lev Buhovsky and Vincent Humiliere.