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|
|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
|Date:||10 / 27 / 2010|
|Time:||03:35pm - 05:05pm|