Hall-Littlewood functions and Virasoro constraints

• 主讲人：Xiaobo Liu
• 举办方： Beijing-Novosibirsk Seminar on Geometry and Mathematical Physics
• 时间： 2022-04-14 17:00 - 2022-04-14 18:00
• 地点： online

 

Video: https://disk.pku.edu.cn:443/link/BCD8AE63BCE6528E7201AD3A19D81AE0
Valid Until: 2026-05-31 23:59

 

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.