Date: Tuesday, March 31, 2009
Title: Universal equations for GromovWitten invariants
Abstract: It is well known that relations in tautological rings of moduli
spaces of curves produce differential equations for generating functions of GromovWitten invariants for all compact symplectic manifolds. We call such equations universal equations. These equations are very helpful in
understanding structures of GromovWitten 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
