Mathematical Sciences Research Institute - Algebraic Structures in the Theory of Holomorphic Curves

Organized By: Mohammed Abouzaid* ( Clay Mathematics Institute), Yakov Eliashberg (Stanford University), Kenji Fukaya (Kyoto University), Eleny Ionel (Stanford University), Lenny Ng (Duke University), Paul Seidel (MIT).

Parent Programs:

Symplectic and Contact Geometry and Topology

Participant List:

View a List of Registered Participants

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.

Follow this link to read about the new U.S. visa requirements

Schedule
Monday November 16, 2009
09:15AM - 10:15AM	Paolo Rossi	Hamiltonian systems and topological recursion in SFT (See Abstract)
10:30AM - 11:00AM	Coffee, tea in the atrium
11:00AM - 12:00PM	Sikimeti Ma'u	"Quilts and A-infinity structures"
12:00PM - 01:15PM	Lunch
01:15PM - 02:15PM	Soren Galatius	Monoids of moduli spaces of manifolds
02:15PM - 02:30PM	Break
02:30PM - 03:30PM	Boris Dubrovin	"Integrable hierarchies of the topological type"
03:30PM - 04:00PM	Coffee, tea in teh atrium
04:00PM - 05:00PM	Alexander Givental	On the Virasoro constraints for toric fibrations
Tuesday November 17, 2009
09:30AM - 10:30AM	Tobias Ekholm	Legendrian contact homology and symplectic homology in dimension four (See Abstract)
10:30AM - 11:00AM	Coffee, tea in the atrium
11:00AM - 12:00PM	Christopher Woodward	Morphisms of CohFT's and the mirror map. (See Abstract)
12:00PM - 01:15PM	Lunch
01:15PM - 02:15PM	Kai Cieliebak	Some remarks on symplectic and contact homology
02:15PM - 02:30PM	Break
02:30PM - 03:30PM	Frédéric Bourgeois	The Gysin exact sequence for S1-equivariant symplectic homology. (See Abstract)
03:30PM - 04:00PM	Coffee, tea in the atrium
04:00PM - 05:00PM	Janko Latschev	Symplectc homology and Lagrangian submanifolds of C^n
05:00PM - 06:00PM	Reception in the atrium
Wednesday November 18, 2009
09:00AM - 10:00AM	Mohammed Abouzaid	On generating Fukaya categories
10:15AM - 11:15AM	Maksim Maydanskiy	Exotic symplectic structures on cotangent bundles of spheres from the A_m singularity
11:30AM - 12:30PM	Xiaobo Liu	Universal Equations for Gromov-Witten invariants (See Abstract)
Thursday November 19, 2009
09:30AM - 10:30AM	Kenji Fukaya	Lagrangian surgery and rigid analytic family of Floer homologies
10:30AM - 11:00AM	Coffee, tea inthe atrium
11:00AM - 12:00PM	Cheol-Hyun Cho	On the obstructed Lagrangian Floer theory (See Abstract)
12:00PM - 01:15PM	Lunch
01:15PM - 02:15PM	Kaoru Ono	Lagrangian Floer theory on symplectic resolutions of singular toric surfaces
02:15PM - 02:30PM	Break
02:30PM - 03:30PM	Ivan Smith	"Fukaya categories of pencils of quadrics"
03:30PM - 04:00PM	Coffee, tea in the atrium
04:00PM - 05:00PM	Berkeley Colloquium
Friday November 20, 2009
09:30AM - 10:30AM	Chiu-Chu Liu	Coherent-constructible correspondence and homological mirror symmetry for toric varieties and toric orbifolds
10:30AM - 11:00AM	Coffee, tea in the atrium
11:00AM - 12:00PM	Rahul Pandharipande	Pairs, BPS states, and knot invariants. (See Abstract)
12:00PM - 01:15PM	Lunch
01:15PM - 02:15PM	Constantin Teleman	Gauged mirror symmetry and Landau-Ginzburg potentials in the Brauer group
02:15PM - 02:30PM	Break
02:30PM - 03:30PM	Jun Li	Genus one GW-invariants of quintics revisited (See Abstract)
03:30PM - 04:00PM	Coffee, tea in the atrium
04:00PM - 05:00PM	Mark Gross	"Log Gromov-Witten invariants"

Currently Available Videos

Paolo Rossi , Hamiltonian systems and topological recursion in SFT November 16,2009, 09:15 AM to 10:15 AM
Sikimeti Ma'u , "Quilts and A-infinity structures" November 16,2009, 11:00 AM to 12:00 PM
Soren Galatius , Monoids of moduli spaces of manifolds November 16,2009, 01:15 PM to 02:15 PM
Boris Dubrovin , "Integrable hierarchies of the topological type" November 16,2009, 02:30 PM to 03:30 PM
Alexander Givental , On the Virasoro constraints for toric fibrations November 16,2009, 04:00 PM to 05:00 PM
Tobias Ekholm , Legendrian contact homology and symplectic homology in dimension four November 17,2009, 09:30 AM to 10:30 AM
Christopher Woodward , Morphisms of CohFT's and the mirror map November 17,2009, 11:00 AM to 12:00 PM
Kai Cieliebak , Some remarks on symplectic and contact homology November 17,2009, 01:15 PM to 02:15 PM
Frédéric Bourgeois , The Gysin exact sequence for S1-equivariant symplectic homology November 17,2009, 02:30 PM to 03:30 PM
Janko Latschev , Symplectc homology and Lagrangian submanifolds of C^n November 17,2009, 04:00 PM to 05:00 PM
Mohammed Abouzaid , On generating Fukaya categories November 18,2009, 09:00 AM to 10:00 AM
Maksim Maydanskiy , Exotic symplectic structures on cotangent bundles of spheres from the A_m singularity November 18,2009, 10:15 AM to 11:15 AM
Xiaobo Liu , Universal Equations for Gromov-Witten invariants November 18,2009, 11:30 AM to 12:30 PM
Kenji Fukaya , Lagrangian surgery and rigid analytic family of Floer homologies November 19,2009, 09:30 AM to 10:30 AM
Cheol-Hyun Cho , On the obstructed Lagrangian Floer theory November 19,2009, 11:00 AM to 12:00 PM
Kaoru Ono , Lagrangian Floer theory on symplectic resolutions of singular toric surfaces November 19,2009, 01:15 PM to 02:15 PM
Ivan Smith , Fukaya categories of pencils of quadrics November 19,2009, 02:30 PM to 03:30 PM
Chiu-Chu Liu , Coherent-constructible correspondence and homological mirror symmetry for toric varieties and toric orbifolds November 20,2009, 09:30 AM to 10:30 AM
Rahul Pandharipande , Pairs, BPS states, and knot invariants. November 20,2009, 11:00 AM to 12:00 PM
Constantin Teleman , Gauged mirror symmetry and Landau-Ginzburg potentials in the Brauer group November 20,2009, 01:15 PM to 02:15 PM
Jun Li , Genus one GW-invariants of quintics revisited November 20,2009, 02:30 PM to 03:30 PM
Mark Gross , Log Gromov-Witten invariants November 20,2009, 04:00 PM to 05:00 PM

You can find videos of other workshops and events on our VMath - Streaming Video page.

For more information:
Questions about this workshop should be sent either by email to

474@msri.org

or by regular mail to:

Algebraic Structures in the Theory of Holomorphic Curves Mathematical Sciences Research Institute 17 Gauss Way, Berkeley, CA 94720-5070. USA

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Algebraic Structures in the Theory of Holomorphic Curves

Follow this link to read about the new U.S. visa requirements

Schedule

Monday November 16, 2009

Tuesday November 17, 2009

Wednesday November 18, 2009

Thursday November 19, 2009

Friday November 20, 2009

Currently Available Videos