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Lecture on "Connecting Hodge integrals to Gromov-Witten invariants by Virasoro operators"
DateandTime: 2019-06-19 19:48:10

Speaker:Liu Xiaobo, Professor, Department of Mathematics, Peking University

Date:June 20, 2019

Time: 4:00 pm-5:00 pm

Location:924 Lecture Hall, Block B, Zhixin Building, Central Campus

Sponsor:the School of Mathematics


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.


Liu Xiaobo is a national special-invited expert of overseas high-level talents introduction program, chair professor of Peking University, deputy director of Mathematics Research Center and vice dean of Mathematics Research Center of Peking University. He was once a professor of University of Notre Dame in the United States, and obtained the Research Fellowship of Sloan Foundation. Liu was invited to give a special report at the International Congress of Mathematicians held in Madrid in 2006.

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Edited by: Wang Yan

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