For more information about this meeting, contact Augustin Banyaga.
|Title:||Length minimizing paths in the group of hamitonian diffeomorphismsdiffeomorphisms with applications to Ham(M,\omega).|
|Seminar:||Symplectic Topology Seminar|
|Speaker:||Peter Spaeth, PSU|
|On any closed symplectic manifold we construct a path-connected
neighborhood of the identity within the Hamiltonian diffeomorphism
with the property that each Hamiltonian diffeomorphism in this
admits a Hofer and spectral length minimizing path to the identity.
neighborhood is open in the $C^1-$topology. The construction depends
continuation argument in the spirit of the work of Y. Chekanov and a
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
argument from scratch. Of independent interest, Y.-G. Oh's spectral
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
|Date:||05 / 01 / 2008|
|Time:||02:15pm - 03:45pm|