|Topic:||C^0 Limits of Hamiltonian Paths and Spectral Invariants|
|Affiliation:||University of California at Berkeley|
|Date:||Friday, October 28|
|Time/Room:||1:30pm - 3:00pm/S-101|
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.