|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