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Institute for the Physics and Mathematics of the UniverseWPI

IPMU Mathematics seminar in Kashiwa

Date: April 23 (Wednesday), 2008, 10:00 - 12:00 and 13:00 - 15:00
Place: Room 630, 6th floor, Research Centers Building, Kashiwa Campus of the University of Tokyo.
Speaker: Motohico Mulase (University of California, Davis)
Title: Integrable systems and intersection theory on moduli spaces of Riemann surfaces
Abstract: Generating functions of Gromov-Witten invariants are expected to satisfy the Virasoro constraint conditions in general, but integrable systems appear only for some special cases. Where do the KP and KdV equations come from when they really do? In this talk a new approach to this question in the context of topological string theory recently proposed by French physicists is surveyed. It resembles Saito's theory of primitive forms in 2 dimensions.