Title:Connecting Hodge integrals to Gromov-Witten invariants by Virasoro operators
Keynote Speaker:Liu Xiaobo
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.
Speaker Introduction: Liu Xiaobo is a national specially-invited expert of "Overseas High-level Talents Introduction Program", chair professor at Peking University, deputy director of the Beijing International Center for Mathematical Research (BICMR), and deputy director of the Mathematics Institute, Peking University. He served as a professor of the University of Notre Dame in the United States, and obtained the Research Fellowship of the American Sloan Foundation. In 2006, he was invited to give a report in the International Congress of Mathematicians in Madrid.
Inviter: Hu Xijun, Professor of School of Mathematics
Time: 16:00-17:00, June 20 (Thursday)
Location: Hall 924, Block B, Zhixin Building, Central Campus
Hosted by: School of Mathematics, Shandong University