Geometry/Physics Seminar

Title: The Gromov-Witten potential associated to a Calabi-Yau A-infinity category
Speaker: Professor Kevin Costello
Speaker Info: University of Chicago
Brief Description:
Special Note:

I'll talk about how to extend the results of my preprint "TCFTs and Calabi-Yau categories" to construct, for certain Calabi-Yau A-infinity categories, something playing the role of the Gromov-Witten potential. This is a state in the Fock space associated to periodic cyclic homology, which is a symplectic vector space. Applying this construction to a suitable A-infinity version of the derived category of sheaves on a Calabi-Yau yields the B model potential, at all genera. Also I'll talk about how this relates to Witten's approach to the holomorphic anomaly equation.
Date: Thursday, September 29, 2005
Time: 2:30pm
Where: Lunt 107
Contact Person: Prof. Chiu-Chu Melissa Liu
Contact email: ccliu@math.northwestern.edu
Contact Phone: 847-467-1874
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