Connecting Hodge integrals to Gromov-Witten invariants by Virasoro operators
Speaker: Xiaobo Liu, Peking University
Abstract: Kontsevich-Witten tau function and Hodge tau functions are important tau functions for KP hierarchy which arise in geometry of moduli space of curves. Alexandrov conjectured that these two functions can be connected by Virasoro operators. In a joint work with Gehao Wang, we have proved Alexandrov's conjecture. In a joint work with Haijiang Yu, we show that this conjecture can also be generalized to Gromov-Witten invariants and Hodge integrals over moduli spaces of stable maps to smooth projective varieties.
Room Reservation Information
Room Number: 320 Whitmore
Time: 2:30pm - 3:20pm