Symplectic Geometry and Topology

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Symplectic Geometry and Topology

 25 - 29 Jul 2016

ICMS, 15 South College Street Edinburgh
  • Jarek Kedra, University of Aberdeen & University of Szczecin
  • Andrew Ranicki, University of Edinburgh
  • Felix Schlenk, Université de Neuchâtel

About:

Symplectic topology is a rapidly developing branch of mathematics, which originated as a geometric tool for understanding qualitative problems of classical mechanics and geometric optics. Symplectic manifolds represent the phase spaces of mechanical systems, and their morphisms play the role of admissible motions. Gromov understood that holomorphic curves can be used to study symplectic manifolds and Hamiltonian systems. The conference was held in honour of Dusa McDuff's 70th birthday.

Symplectic topology has become so vast a field that this workshop focused on holomorphic curves, groups of symplectic diffeomorphisms, symplectic packings and symplectic structures.

Photographs are available to download here.

Speakers

  • Sheel Ganatra, Stanford University - Automatically Generating Fukaya Categories

  • Strom Borman, Stanford University - Quantum Cohomology via Symplectic Cohomology

  • Dan Cristofaro-Gardiner, Harvard University - Symplectic Embeddings of Products

  • Basak Gurel, University of Central Florida - Non-Contractible Periodic Orbits in Hamiltonian Dynamics on Closed Symplectic Manifolds

  • Richard Hind, University of Notre Dame - Embeddings of Lagrangian Tori

  • Viktor Ginzburg, University of California - Lusternik-Schnirelmann Theory and Closed Reeb Orbits

  • Mark McLean, Stony Brook University - The Cohomological McKay Correspondence and Symplectic Cohomology

  • Miguel Abreu, Instituto Superior Técnico - On the Mean Euler Characteristic of Toric Contact Manifolds

  • Ely Kerman, University of Illinois - Hamiltonian Floer Theory and a Theorem of Ekeland and Lasry

  • Renato Vianna, University of Cambridge - Infinitely Many Monotone Lagrangian on Del Pezzo Surfaces

  • Vinicius Gripp Ramos, Instituto Nacional de Matemática Pura e Aplicada - Embeddings of the Lagragian Bidisk

  • Georgios Dimitroglou Rizell, University of Cambridge - Classification Results for Two-Dimensional Lagrangian Tori

  • Susan Tolman - University of Illinois - Non-Hamiltonian Symplectic Circle Actions with Isolated Fixed Points

  • Joanna Nelson, IAS and Columbia University - An Integral Lift of Cylindrical Contact Homology

  • Sheila Sandon, IRMA - Floer Homology for Translated Points

  • Ivan Smith, University of Cambridge - Whitney Sphere Links

  • Eleny Ionel, Stanford University - The Gopakumar-Vafa Conjecture for Symplectic Manifolds

  • Mohammed Abouzaid, Columbia University - Lagrangian Surgery and Higher Flux

  • Lev Buhovski, Tel Aviv University - C^0 Hamiltonian Dynamics and the Arnold Conjecture

  • Yael Karshon, University of Toronto - The Morse-Bott-Kirwan Condition is Local

  • Nena Roettgen, University of Münster - Reeb Traps and Hamiltonian Plugs Abstract

  • Michael Atiyah, University of Edinburgh - The Non-Existent Complex 6-Sphere

  • Weiyi Zhang, University of Warwick - J-Holomorphic Subvarieties

  • Kai Zehmisch, University of Münster - Diffeomorphism Type of Symplectically Aspherical Fillings

  • Jonny Evans, University College London - Symplectic Embeddings and Markov Numbers

  • Kei Irie, RIMS - A C^∞ Closing Lemma for Three-Dimensional Reeb Flows via ECH

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