Tel-Aviv University
School of Mathematical Sciences

Department Colloquium

Monday, November 17, 2014

Schreiber 006, 12:15

Michael Khanevsky

University of Chicago

Length spectrum of symplectic surfaces

We will discuss geometry of Hamiltonian diffeomorphisms on symplectic surfaces with respect to the Hofer metric. Despite of very elementary setup much in this subject is still unexplored. In Riemannian geometry the length spectrum is defined as the minimal length of a closed curve in each homotopy class. It is a rich source of invariants of the manifold. In symplectic setting there is no notion of length, hence no possibility to define the usual length spectrum. However, one can construct a similar invariant by measuring Hofer's length of closed 'trajectories' of disks. We will provide some estimates for this construction.

Coffee will be served at 12:00 before the lecture
at Schreiber building 006