Hall-Littlewood functions and Virasoro constraints

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.

HEP - theorymathematical physicsalgebraic geometrycombinatoricsexactly solvable and integrable systems

Audience: researchers in the discipline

IBS-CGP Mathematical Physics Seminar

Series comments: Registration is required at cgp.ibs.re.kr/activities/talkregistration