For more information about this meeting, contact Ping Xu, Mathieu Stienon, Nigel Higson.
| Title: | Floer homology and the spectral metric |
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| Seminar: | GAP Seminar |
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| Speaker: | Zhigang Han, Millersville University |
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| Abstract: |
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| After a brief review of the Morse homology, I will go through the definition of the Floer homology of a Hamiltonian diffeomorphism, which is an infinite dimensional analog of Morse homology. Using the Floer homology, I will define a biinvariant metric, known as the Schwarz-Oh spectral metric on the group of Hamiltonian diffeomorphisms. Finally I will explain why the spectral metric does not extend to a biinvariant metric on the group of all symplectomorphisms for certain symplectic manifolds. |
Room Reservation Information
| Room Number: | MB106 |
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| Date: | 04 / 27 / 2010 |
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| Time: | 02:30pm - 03:30pm |
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