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Institute for the Physics and Mathematics of the UniverseWPI

Recursion relations in intersection theory on the moduli spaces of Riemann surfaces

Date: April 24, 2008, 17:00 - 18:30
Place: Room 056, Mathematical Sciences Building, Komaba Campus, The University of Tokyo.
Speaker: Motohico Mulase (University of California, Davis)
Title: Recursion relations in intersection theory on the moduli spaces of Riemann surfaces
Abstract: In this talk I will give a survey of recent developments in the intersection theory of tautological classes on the moduli spaces of stable algebraic curves. The emphasis is placed on explaining where the Virasoro constraint conditions are originated. Recently several authors have encountered the same combinatorial recursion relation from completely different contexts, that eventually leads to the Virasoro constraint. This mysterious structure of the theory will be surveyed.
IPMU Komaba Seminar Web Page: http://faculty.ms.u-tokyo.ac.jp/~topology/IPMU/index.html