Home /  New Developments in the Geometry and Physics of Gromov-Witten Theory


New Developments in the Geometry and Physics of Gromov-Witten Theory May 22, 2006 - May 26, 2006
Registration Deadline: May 15, 2006 about 18 years ago
To apply for Funding you must register by: February 22, 2006 over 18 years ago
Parent Program:
Organizers Mina Aganagic, A. Klemm (Wisconsin), Jun Li (Stanford), R. Pandharipande (Princeton), Yongbin Ruan (Wisconsin)

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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.
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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May 22, 2006
09:20 AM - 10:30 AM
  How Strong Are Our Tools in Gromov-Witten Theory
Rahul Pandharipande (ETH Zurich)
11:00 AM - 12:00 PM
  Quasi-modular forms and Gromov-Witten Theory
Albrecht Klemm (Hausdorff Research Institute for Mathematics, University of Bonn)
02:00 PM - 03:00 PM
  Gromov-Witten Invariants of Orbifolds and Their Crepant Resolutions
Jim Bryan (University of British Columbia)
03:00 PM - 04:00 PM
  Reduced Genus-One Gromov-Witten Invariants and Applications
Aleksey Zinger
04:30 PM - 05:30 PM
  Topological Strings and (Almost) Modular Forms
Mina Aganagic (University of California, Berkeley)
May 23, 2006
09:30 AM - 10:30 AM
  The half-twisted sigma-model and sheaves of chiral algebras
Anton Kapustin
11:00 AM - 12:00 PM
  Mirror Symmetry and New "Quantum" Invariants for Quasi-homogeneous Singularities
Tyler Jarvis
02:00 PM - 03:00 PM
  On Quantum Cohomology of Abelian Quotients
Alexander Givental
03:00 PM - 04:00 PM
  From affine manifolds to complex manifolds: instanton corrections from tropical disks
Mark Gross (University of Cambridge)
04:30 PM - 05:30 PM
  Constructible Sheaves and the Fukaya Category
Eric Zaslow
May 24, 2006
09:30 AM - 10:30 AM
  A Mathematical Theory of The Topological Vertex
Chiu-Chu Melissa Liu (Columbia University)
11:00 AM - 12:00 PM
  Topological Reduction of Donaldson-Thomas Theory
Sergei Gukov (California Institute of Technology)
02:00 PM - 03:00 PM
  Some Tpological Properties of Symplectomorphism Groups
Dusa McDuff (Barnard College)
03:00 PM - 04:00 PM
  Invariance of Quantum Cohomology under a Simple Flop
Yuan-Pin Lee
04:30 PM - 05:30 PM
  Strebel Differentials and String Theory
Rajesh Gopakumar
May 25, 2006
09:30 AM - 10:30 AM
  Uniruled Symplectic Manifolds
Tian-Jun Li
11:00 AM - 12:00 PM
  P-adic B-model, p-adic superspace and integrality of instanton numbers
Albert Schwarz
02:00 PM - 03:00 PM
  A Remark to Gromov-Witten Invariant
Jun Li (Stanford University)
03:00 PM - 04:00 PM
  Topological Conformal Field Theories and Calabi-Yau Categories
Kevin Costello (Perimeter Institute of Theoretical Physics)
04:30 PM - 05:30 PM
  Phase Transition in topological String Theory
Marcos Marino Beiras
May 26, 2006
09:00 AM - 10:00 AM
  Non-Abelian Localization For Chern-Simons Theory
Chris Beasley
10:00 AM - 11:00 AM
  Hurwitz Numbers and Admissible Covers
Renzo Cavalieri (Colorado State University)
11:00 AM - 12:00 PM
  Algebraic Structures of Symplectic Field Theory
Yakov Eliashberg (Stanford University)