Symplectic Geometry and Transformation Groups

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Symplectic Geometry and Transformation Groups

 05 - 09 Jul 2010
 ICMS, 15 South College Street Edinburgh

Scientific Organisers:

  • 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.

Speakers:

  • Yasha Eliashberg, Stanford University -  More About Legendrian Surgery

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

  • Francois Lalonde, Université de Montréal - Homological Lagrangian Monodromy

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

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

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

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

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

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

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

  • Matthias Schwarz, Universität Leipzig - Floer Homology for Cotangent Bundles

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

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

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

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

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

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

 

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

Participants

Name
Institution
Miguel, AbreuInstituto Superior Técnico
Peter, AlbersUniversity of Münster
Augustin, BanyagaPennsylvania State University
Marta, BatoreoUC Santa Cruz
Misha, BialyTel Aviv University
Roger, BielawskiUniversity of Leeds
Michael, BrandenburskyBen Gurion University
Kai, CieliebakLudwig-Maximilians-Universität
Luis, DiogoStanford University
Yasha, EliashbergStanford University
Misha, EntovTechnion - Israel Institute of Technology
Jonny, EvansUniversity College London
Urs, FuchsPurdue University
Swiatoslaw, GalUniwersytet Wrocławski
Doris, HeinUC Santa Cruz
Helmut, HoferInstitute for Advanced Study Princeton
Vincent, HumiliereInstitut Mathématique de Jussieu
Hiroshi, IriyehTokyo Denki University
Yael, KarshonUniversity of Toronto
Jelena, KaticUniversity of Belgrade
Jarek, KedraUniversity of Aberdeen & University of Szczecin
Boris, KhesinUniversity of Toronto
Francois, LalondeUniversité de Montréal
Sergei, LanzatTechnion - Israel Institute of Technology
Francois, LaudenbachUniversité de Nantes
Yiming, LongNankai University
Dusa, McDuffBarnard College, Columbia University
Darko, MilinkovicUniversity of Belgrade
Kaoru, OnoHokkaido University
Yaron, Ostrover
Leonid, PolterovichTel Aviv University & University of Chicago
Pierre, PyUniversity of Chicago
Andrew, RanickiUniversity of Edinburgh
Rui, ReisUniversity of Aberdeen
Sheila, SandonIRMA - Université de Strasbourg
Yasha, SavelyevUniversity of Colima
Felix, SchlenkUniversité de Neuchâtel
Matthias, SchwarzUniversität Leipzig
Daniele, SepeUniversity of Edinburgh
Karl Friedrich, SiburgTechnische Universität Dortmund
Jean-Claude, SikoravÉcole Normale Supérieure de Lyon
Ivan, SmithUniversity of Cambridge
Oldrich, SpacilUniversity of Aberdeen
Peter, SpaethKIAS
Michael, UsherUniversity of Georgia
Claude, ViterboEcole Normale Supérieure
Jack, WaldronUniversity of Oxford
Kris, WysockiPennsylvania State University
Frol, ZapolskyMax Planck Institute for Mathematics in the Sciences
Fabian, ZiltenerUniversity of Toronto