Home /  Algebraic Structures in the Theory of Holomorphic Curves


Algebraic Structures in the Theory of Holomorphic Curves November 16, 2009 - November 20, 2009
Registration Deadline: November 20, 2009 over 14 years ago
To apply for Funding you must register by: August 16, 2009 almost 15 years ago
Parent Program:
Organizers Mohammed Abouzaid* ( Clay Mathematics Institute), Yakov Eliashberg (Stanford University), Kenji Fukaya (Kyoto University), Eleny Ionel (Stanford University), Lenny Ng (Duke University), Paul Seidel (MIT).

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Algebraic structures in the theory of holomorphic curves workshop information The theory of holomorphic curves in symplectic manifolds leads to rich algebraic structures. The study of these structures is increasingly important both for understanding the theory itself, and for actual computations and applications. The aim of the workshop is to survey ongoing developments in the area. Some of the topics of interest are: * cohomological field theories; * relative and tropical Gromov-Witten invariants; * Symplectic Field Theory (SFT) and connections with string topology; * theories of holomorphic curves with Lagrangian boundary conditions, such as relative SFT, open Gromov-Witten theory, and Fukaya categories. Bibliography (PDF) Accomodations: A block of rooms has been reserved at the Rose Garden Inn. Reservations may be made by calling 1-800-992-9005 OR directly on their website. Click on Corporate at the bottom of the screen and when prompted enter code MATH (this code is not case sensitive). By using this code a new calendar will appear and will show MSRI rate on all room types available. The cut-off date for reservations is October 30, 2009. A block of rooms has been reserved at the Hotel Durant. Please mention the workshop name and reference the following code when making reservations via phone, fax or e-mail: 0911MSRIAL. The cut-off date for reservations is October 15, 2009. The rate is $129 per night plus tax. We also hold a block of rooms at the Doubletree Hotel. Please mention the MSRI as a reference when making reservations by calling 510-548-7920 OR directly on their website. The Doubletree Hotel offers complementary shuttle to and from MSRI. The room rate is $99 per night. New, completely renovated Hotel Shattuck Plaza has rooms available for you as well! Click here to book online Or, you can make reservations calling the main line, 510-845-7300, and asking for the rate for the MSRI Algebraic Structures . The room rate is $119 per night plus tax.
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
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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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Nov 16, 2009
09:15 AM - 10:15 AM
  Hamiltonian systems and topological recursion in SFT
Paolo Rossi
11:00 AM - 12:00 PM
  "Quilts and A-infinity structures"
Sikimeti Ma'u (Mathematical Sciences Publishers)
01:15 PM - 02:15 PM
  Monoids of moduli spaces of manifolds
Soren Galatius (Stanford University)
02:30 PM - 03:30 PM
  "Integrable hierarchies of the topological type"
Boris Dubrovin (Scuola Internazionale Superiore di Studi Avanzati (SISSA))
04:00 PM - 05:00 PM
  On the Virasoro constraints for toric fibrations
Alexander Givental
Nov 17, 2009
09:30 AM - 10:30 AM
  Legendrian contact homology and symplectic homology in dimension four
Tobias Ekholm (Uppsala University)
11:00 AM - 12:00 PM
  Morphisms of CohFT's and the mirror map
Christopher Woodward
01:15 PM - 02:15 PM
  Some remarks on symplectic and contact homology
Kai Cieliebak
02:30 PM - 03:30 PM
  The Gysin exact sequence for S1-equivariant symplectic homology
Frédéric Bourgeois
04:00 PM - 05:00 PM
  Symplectc homology and Lagrangian submanifolds of C^n
Janko Latschev
Nov 18, 2009
09:00 AM - 10:00 AM
  On generating Fukaya categories
Mohammed Abouzaid (Columbia University)
10:15 AM - 11:15 AM
  Exotic symplectic structures on cotangent bundles of spheres from the A_m singularity
Maksim Maydanskiy (Uppsala University)
11:30 AM - 12:30 PM
  Universal Equations for Gromov-Witten invariants
Xiaobo Liu
Nov 19, 2009
09:30 AM - 10:30 AM
  Lagrangian surgery and rigid analytic family of Floer homologies
Kenji Fukaya (Kyoto Sangyo University)
11:00 AM - 12:00 PM
  On the obstructed Lagrangian Floer theory
Cheol-Hyun Cho
01:15 PM - 02:15 PM
  Lagrangian Floer theory on symplectic resolutions of singular toric surfaces
Kaoru Ono
02:30 PM - 03:30 PM
  Fukaya categories of pencils of quadrics
Ivan Smith (Center for Mathematical Sciences)
Nov 20, 2009
09:30 AM - 10:30 AM
  Coherent-constructible correspondence and homological mirror symmetry for toric varieties and toric orbifolds
Chiu-Chu Melissa Liu (Columbia University)
11:00 AM - 12:00 PM
  Pairs, BPS states, and knot invariants.
Rahul Pandharipande (ETH Zurich)
01:15 PM - 02:15 PM
  Gauged mirror symmetry and Landau-Ginzburg potentials in the Brauer group
Constantin Teleman (University of California, Berkeley)
02:30 PM - 03:30 PM
  Genus one GW-invariants of quintics revisited
Jun Li (Stanford University)
04:00 PM - 05:00 PM
  Log Gromov-Witten invariants
Mark Gross (University of Cambridge)