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Mathematics Colloquium


Date:  Tuesday, March 31, 2009

Title:  Universal equations for Gromov-Witten invariants

Abstract:  It is well known that relations in tautological rings of moduli spaces of curves produce differential equations for generating functions of Gromov-Witten invariants for all compact symplectic manifolds. We call such equations universal equations. These equations are very helpful in understanding structures of Gromov-Witten theory and played an important role in the so called Virasoro conjecture. However finding explcit universal equations seems to be a hard problem especially when genus is large. I will talk about a class of universal equations of all genera proved in a joint work with R. Pandharipande. Some of these equations were conjectured by K. Liu and H. Xu.

Speaker:  Xiaobo Liu
Institution:  Univ of Notre Dame


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