Home /  Symplectic Geometry and Mathematical Physics

Workshop

Symplectic Geometry and Mathematical Physics March 22, 2004 - March 26, 2004
Registration Deadline: March 26, 2004 over 20 years ago
To apply for Funding you must register by: December 22, 2003 about 21 years ago
Parent Program:
Organizers Denis Auroux, Dan Freed, Helmut Hofer, Francis Kirwan, and Gang Tian
Speaker(s)

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Description
Symplectic geometry has been one of the most rapidly advancing areas of mathematics over the past ten years. Its strong connections to mathematical physics, and in particular the mirror symmetry conjecture, have been the source of many fascinating developments. Pseudo-holomorphic curves have been studied extensively, and tools such as Gromov-Witten invariants and Floer homology have revolutionized our understanding of symplectic manifolds. Meanwhile, low-dimensional topology, gauge theory (in particular Seiberg-Witten invariants), and monodromy techniques have also been the source of important contributions to the field. The following areas of research are particularly active at the moment, and will be the main topics of the workshop: Gromov-Witten invariants and quantum cohomology Floer homology, mirror symmetry, and string theory Lefschetz pencils, gauge theory, and low-dimensional topology Hamiltonian group actions and moment maps contact homology and symplectic field theory List of confirmed speakers (as of February 2, 2004): Alexandre Givental Mark Gross Dominic Joyce Xiaobo Liu Grigory Mikhalkin Yong-Geun Oh Yongbin Ruan Paul Seidel Bernd Siebert Ivan Smith Michael Usher
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Funding & Logistics Show All Collapse

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To apply for funding, you must register by the funding application deadline displayed above.

Students, recent PhDs, women, and members of underrepresented minorities are particularly encouraged to apply. Funding awards are typically made 6 weeks before the workshop begins. Requests received after the funding deadline are considered only if additional funds become available.

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For information about recommended hotels for visits of under 30 days, visit Short-Term Housing. Questions? Contact coord@slmath.org.

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Schedule, Notes/Handouts & Videos
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Mar 22, 2004
Monday
08:00 AM - 05:00 PM
  Invariants for lagrangian tori in 4-manifolds
Ron Fintushel
08:00 AM - 05:00 PM
  Holomorphic disks and low-dimensional topology
P. Ozsvath
08:00 AM - 05:00 PM
  Orientifolds: An introduction
K. Hori
08:00 AM - 05:00 PM
  Torus actions on blowups of CP^2
Y. Karshon
08:00 AM - 05:00 PM
  Tropical Jacobians
G. Mikhalkin
08:00 AM - 05:00 PM
  Subcritical manifolds
Y. Eliashberg
08:00 AM - 05:00 PM
  Embedded Contact Homology of T^3
M. Hutchings
08:00 AM - 05:00 PM
  Topological Strings and Integrable Hierarchies
M. Aganagic
09:00 AM - 09:15 AM
  Welcome to MSRI
09:15 AM - 10:15 AM
  Instantion Floer homology with Largragian boundary conditions
Dietmar Salamon
10:15 AM - 10:45 AM
  Break
10:45 AM - 11:45 AM
  Recent Advances in Orbifold Theory
Yongbin Ruan (University of Michigan)
11:45 AM - 12:30 PM
  Break
12:30 PM - 02:30 PM
  Lunch
12:30 PM - 01:30 PM
  TBA
Mina Aganagic (University of California, Berkeley)
01:30 PM - 03:15 PM
  Lunch
03:15 PM - 04:15 PM
  TBA
Michael Hutchings (University of California, Berkeley)
04:15 PM - 04:45 PM
  Break
04:45 PM - 05:45 PM
  TBA
Yakov Eliashberg (Stanford University)
Mar 23, 2004
Tuesday
09:00 AM - 10:00 AM
  The obstruction to the A-infinity algebra and the Landau-Ginzburg superpotential: the Fano toric case
Yong-Geun Oh (Institute for basic science)
09:00 AM - 10:00 AM
  The obstruction to the A-infinity algebra and the Landau-Ginzburg superpotential: the Fano toric case
Y. G. Oh
10:00 AM - 10:30 AM
  Break
10:30 AM - 11:30 AM
  Quantum cobordism and fromal group laws
Alexander Givental
11:30 AM - 12:30 PM
  Extensions of the Hamiltonian group
Dusa McDuff (Barnard College)
12:30 PM - 02:30 PM
  Lunch
02:30 PM - 03:30 PM
  Topological strings and generalized complex geometry
Anton Kapustin
03:30 PM - 04:00 PM
  Break
04:00 PM - 05:00 PM
  A natural Floer theory without obstruction
François Lalonde
Mar 24, 2004
Wednesday
09:00 AM - 10:00 AM
  TBA
Grigory Mikhalkin (Université de Genève)
10:00 AM - 10:30 AM
  Break
10:30 AM - 11:30 AM
  Symplectic geometry of the adjoint quotient, I
Ivan Smith (Center for Mathematical Sciences)
11:30 AM - 12:30 PM
  Abelian categories and stability conditions
Dominic Joyce (University of Oxford)
12:30 PM - 02:30 PM
  Lunch
02:30 PM - 03:30 PM
  TBA
Yael Karshon
03:30 PM - 04:00 PM
  Break
04:00 PM - 05:00 PM
  TBA
Kentaro Hori
Mar 25, 2004
Thursday
09:00 AM - 10:00 AM
  Degeneration of Kahler-Einstein manifolds and minimal Lagrangian (coisotropic) vanishing cycles
Wei-Dong Ruan
10:00 AM - 10:30 AM
  Break
10:30 AM - 11:30 AM
  Toward combinatorial curve counting via maximal degenerations
Bernd Siebert (Universität Hamburg)
11:30 AM - 12:30 PM
  Affine manifolds and degenerations of Calabi-Yau manifolds
Mark Gross (University of Cambridge)
12:30 PM - 02:30 PM
  Break
02:30 PM - 03:30 PM
  TBA
Peter Ozsváth (Princeton University)
03:30 PM - 04:00 PM
  Break
04:00 PM - 05:00 PM
  TBA
Ronald Fintushel
Mar 26, 2004
Friday
09:00 AM - 10:00 AM
  Genus 2 Gromov-Witten invariants
Xiaobo Liu
10:00 AM - 10:30 AM
  Break
10:30 AM - 11:30 AM
  Lefschetz fibrations and pseudoholomorphic curves
Michael Usher (University of Georgia)
11:30 AM - 12:30 PM
  Symplectic geometry of the adjoint quotient, II
Paul Seidel (Massachusetts Institute of Technology)