For more information about this meeting, contact Dmitri Burago.
| Title: | Minimal average action and distances in the group of Hamiltonian diffeomorphisms |
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| Seminar: | Center for Dynamics and Geometry Seminar |
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| Speaker: | Alfonso Sorrentino, Cambridge |
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| Abstract: |
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| 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 |
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| Date: | 10 / 27 / 2010 |
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| Time: | 03:35pm - 05:05pm |
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