Symplectic Geometry and Transformation Groups

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Symplectic Geometry and Transformation Groups

 05 - 09 Jul 2010


  • Kai Cieliebak, Ludwig-Maximilians-Universität
  • Jarek Kedra, University of Aberdeen & University of Szczecin
  • Dusa McDuff,, Columbia University
  • Leonid Polterovich, Tel Aviv University & University of Chicago


Our honourary guest was Helmut Hofer from the Institute for Advanced Study.

This meeting marked the 20th anniversary of the publication of the paper The Topology of Symplectic Maps by Helmut Hofer, where he introduced a remarkable metric on the group of Hamiltonian diffeomorphisms of a symplectic manifold. This metric is now known as the Hofer metric and is a classical notion of symplectic geometry. Hofer geometry has been extensively investigated for the last 20 years, but still there are many open problems.


Miguel Abreu, Instituto Superior Técnico - Contact Homology of Good Toric Contact Manifolds

Augustin Banyaga, Pennsylvania State University - The Hofer Topology on the Group of All Symplectic Diffeomorphisms

Misha Bialy, Tel Aviv University - Integrable Geodesic Flows on Surfaces  

Yasha Eliashberg, Stanford University -  More About Legendrian Surgery

Misha Entov, Technion - Israel Institute of Technology - C0-Functional Theory of Poisson Brackets

Helmut Hofer, Institute for Advanced Study - EMS Lecture Polyfolds and SFT

Boris Khesin, University of Toronto - Dynamics on Diffeomorphism Groups: Burgers vs. Euler

Francois Lalonde, Université de Montréal - Homological Lagrangian Monodromy

Yiming Long, Nankai University - Multiple Closed Geodesics on Compact Simply Connected Manifolds

Kaoru Ono, Hokkaido University - (Tentative) Bulk Deformations in Lagrangian Floer theory

Yaron Ostrover, Institute for Advanced Study - On the Uniqueness of Hofer's Geometry

Pierre Py, University of Chicago - Quasi-Morphisms and Hofer's Metric

Sheila Sandon, Université de Nantes - An Integer Valued Bi-Invariant Metric on the Group of Contactomorphisms of R2n x S1  

Yasha Savelyev, University of Massachusetts - On Hofer Geometry and Quantum Classes

Matthias Schwarz, Universität Leipzig - Floer Homology for Cotangent Bundles

Jean-Claude Sikorav, École Normale Supérieure de Lyon - Hofer Distance of Lagrangian Submanifolds in a Cotangent Bundle

Claude Viterbo, Centre de Mathématiques Ecole Polytechnique - Non Convex Mather Theory

Sponsors and Funders:

The workshop was funded by the EPSRC, the LMS, the EMS, the GMJT and the ESF-CAST.