Symplectic techniques in Hamiltonian dynamics
Daniel Cristofaro-Gardiner
Department of Mathematics, Harvard University
Date and time:
Thursday, January 23, 2014 - 2:00pm
Location:
ECCR 257
Abstract:
I will give an introduction to how symplectic techniques can be used to better understand some aspects of Hamiltonian systems. My talk will survey a beautiful body of work due to Floer, Hofer, Ginzburg, and others on the existence problem for periodic orbits of autonomous and non-autonomous Hamiltonian systems. I will also briefly discuss some applications to the planar restricted three-body problem. No prerequisite knowledge of symplectic geometry will be required.