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

Princeton/IAS Symplectic Geometry Seminar
Topic:$C^0$ Hamiltonian dynamics and a counterexample to the Arnold conjecture
Speaker:Sobhan Seyfaddini
Affiliation:Member, School of Mathematics
Date:Tuesday, November 29
Time/Room:3:10pm - 4:10pm/S-101
Video Link:https://video.ias.edu/puias/2016/1129-SobhanSeyfaddini

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.