C^0 Limits of Hamiltonian Paths and Spectral Invariants

Geometry Seminar
Topic:C^0 Limits of Hamiltonian Paths and Spectral Invariants
Speaker:Sobhan Seyfaddini
Affiliation:University of California at Berkeley
Date:Friday, October 28
Time/Room:1:30pm - 3:00pm/S-101
Video Link:https://video.ias.edu/geometry/seyfaddini

After reviewing spectral invariants, I will write down an estimate, which under certain assumptions, relates the spectral invariants of a Hamiltonian to the C^0-distance of its flow from the identity. I will also show that, unlike the Hofer norm, the spectral norm is C^0-continuous on surfaces. Time permitting, I will present an application to the study of area preserving disk maps.