PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Dmitri Burago.

Title:Minimal average action and distances in the group of Hamiltonian diffeomorphisms
Seminar:Center for Dynamics and Geometry Seminars
Speaker:Alfonso Sorrentino, Cambridge
Abstract:
In this talk I shall discuss a conjecture by K. F. Siburg, relating Mather's minimal average action (or \beta-function) to the asymptotic Hofer's distance in the group of Hamiltonian diffeomorphisms. I shall construct examples of smooth fibrewise convex Hamiltonians for which the asymptotic Hofer distance from the identity gives a strict upper bound to the value at 0 of Mather’s \beta-function, thus providing a negative answer to the conjecture. However, the conjecture becomes true if one considers a different distance (the so-called Viterbo's distance). This is a joint work with Claude Viterbo.

Room Reservation Information

Room Number:MB106
Date:10 / 27 / 2010
Time:03:35pm - 05:05pm