For more information about this meeting, contact Augustin Banyaga.
| Title: | The spectral invariants and homological area of Hamiltonian
diffeomorphisms with applications to Ham(M,\omega). |
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| Seminar: | Symplectic Topology Seminar |
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| Speaker: | Peter Spaeth, PSU |
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| Abstract: |
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| > >> On any closed symplectic manifold we construct a
> >> path-connected
> >> neighborhood of the identity within the Hamiltonian
> >> diffeomorphism group
> >> with the property that each Hamiltonian
> >> diffeomorphism in this
> >> neighborhood
> >> admits a Hofer and spectral length minimizing path
> >> to the identity.
> >> This
> >> neighborhood is open in the $C^1-$topology. The
> >> construction depends
> >> on a
> >> continuation argument in the spirit of the work of
> >> Y. Chekanov and a
> >> chain
> >> level result in the Floer theory of Lagrangian
> >> intersections. This
> >> generalizes results of Lalonde and McDuff, McDuff
> >> and Y.-G. Oh.
> >>
> >> While the proof is somewhat technical, effort will
> >> be made to present
> >> the
> >> argument from scratch. Of independent interest,
> >> Y.-G. Oh's spectral
> >> metric,
> >> which is a Floer theoretical refinement of the Hofer
> >> metric and Oh's
> >> homological area of will be presented in detail.
> >>
> >> Several open questions will also be addressed.
> >> |
Room Reservation Information
| Room Number: | MB216 |
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| Date: | 04 / 17 / 2008 |
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| Time: | 02:15pm - 03:45pm |
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