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New Developments in the Geometry and Physics of Gromov-Witten Theory
May 22, 2006 to May 26, 2006

Organizer(s)

Mina Aganagic, A. Klemm (Wisconsin), Jun Li (Stanford), R. Pandharipande (Princeton), Yongbin Ruan (Wisconsin)
To apply for funding, you must register by Mon, Mar 20 2006.
Schedule of the Lectures

For more information on the worskshop, go to http://www.math.wisc.edu/~shi/topological_structures/Gromov_Witten.htm

Mirror duality has demonstrated the striking effectiveness of concepts of modern physics in enumerative geometry. Meanwhile the studies of topological gauge and string theories have revealed another type of dualit, relating nonperturpbative large N results in gauge theory to the full genus expansion of topological string theory with non-trivial target spaces. More recently, many authors have generalized these dualities to calculate open and closed Gromov-Witten invariants on general non-compact toric varieties and have found an important structure in these calcualtions: the so-called topological vertex.

Further progress in this area requires a deeper understanding of the integrable structure which underlies these relations. This workshop will bring together the central researchers in all of these areas and concentrate its efforts in deepening the connections among the various directions.

A detailed description of the aims of this workshop is available in pdf format.

Funding

To apply for funding, you must register by Mon, Mar 20 2006. Click to Register
Students, recent Ph.D.'s, women, and members of underrepresented minorities are particularly encouraged to apply. Funding awards are made typically 6 weeks before the workshop begins. Requests received after the funding deadline are considered only if additional funds become available.
Schedule
Monday, May 22, 2006
9:20AM - 10:30AM Rahul Pandharipande How Strong Are Our Tools in Gromov-Witten Theory [Video available]
11:00AM - 12:00PM Albrecht Klemm Quasi-modular forms and Gromov-Witten Theory [Video available]
2:00PM - 3:00PM Jim Bryan Gromov-Witten Invariants of Orbifolds and Their Crepant Resolutions [Video available]
3:00PM - 4:00PM Aleksey Zinger Reduced Genus-One Gromov-Witten Invariants and Applications [Video available]
4:30PM - 5:30PM Mina Aganagic Topological Strings and (Almost) Modular Forms [Video available]
Tuesday, May 23, 2006
9:30AM - 10:30AM Anton Kapustin The half-twisted sigma-model and sheaves of chiral algebras [Video available]
11:00AM - 12:00PM Tyler Jarvis Mirror Symmetry and New "Quantum" Invariants for Quasi-homogeneous Singularities [Video available]
2:00PM - 3:00PM Alexander Givental On Quantum Cohomology of Abelian Quotients [Video available]
3:00PM - 4:00PM Mark Gross From affine manifolds to complex manifolds: instanton corrections from tropical disks [Video available]
4:30PM - 5:30PM Eric Zaslow Constructible Sheaves and the Fukaya Category [Video available]
Wednesday, May 24, 2006
9:30AM - 10:30AM Chiu-Chu Liu A Mathematical Theory of The Topological Vertex [Video available]
11:00AM - 12:00PM Sergei Gukov Topological Reduction of Donaldson-Thomas Theory [Video available]
2:00PM - 3:00PM Dusa McDuff Some Tpological Properties of Symplectomorphism Groups [Video available]
3:00PM - 4:00PM Yuan-Pin Lee Invariance of Quantum Cohomology under a Simple Flop [Video available]
4:30PM - 5:30PM Rajesh Gopakumar Strebel Differentials and String Theory [Video available]
Thursday, May 25, 2006
9:30AM - 10:30AM Tian-Jun Li Uniruled Symplectic Manifolds [Video available]
11:00AM - 12:00PM Albert Schwarz P-adic B-model, p-adic superspace and integrality of instanton numbers
2:00PM - 3:00PM Jun Li A Remark to Gromov-Witten Invariant [Video available]
3:00PM - 4:00PM Kevin Costello Topological Conformal Field Theories and Calabi-Yau Categories [Video available]
4:30PM - 5:30PM Marcos Marino Beiras Phase Transition in topological String Theory [Video available]
Friday, May 26, 2006
9:00AM - 10:00AM Chris Beasley Non-Abelian Localization For Chern-Simons Theory [Video available]
10:00AM - 11:00AM Renzo Cavalieri Hurwitz Numbers and Admissible Covers [Video available]
11:00AM - 12:00PM Yakov Eliashberg Algebraic Structures of Symplectic Field Theory [Video available]
Parent Program(s):
New Topological Structures in Physics


Questions about this workshop should be sent either by email to
or by regular mail to:
New Developments in the Geometry and Physics of Gromov-Witten Theory
Mathematical Sciences Research Institute
17 Gauss Way, Berkeley, CA
94720-5070.
USA

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