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Meeting ID: 817 5199 0490
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Abstract: Hall-Littlewood functions are generalizations of Schur Q-functions which have been used to study Kontsevich-Witten and Brezin-Gross-Witten tau functions. Recently Mironov and Morozov proposed to use Hall-Littlewood functions specialized at roots of unity to study generalized Kontsevich matrix models. Virasoro constraints are powerful tools in the study of matrix models and Gromov-Witten invariants. In this talk, I will describe how Virasoro operators act on Hall-Littlewood functions and applications of such formulas. This is based on joint works with Chenglang Yang.
Bio: Xiaobo Liu obtained his Ph.D. degree from University of Pennsylvania. He was a professor at University of Notre Dame, and obtained Sloan Research Fellowship. He was also an invited speaker of ICM in 2006. Currently, he is a professor at Peking University and is a deputy director of Beijing International Center for Mathematical Research.
