数学科学研究所
Insitute of Mathematical Science

Colloquium: Schur Q-polynomials and intersection numbers on moduli spaces of stable curves

Colloquium| Institute of Mathematical Sciences

Time:Thursday, Apirl 22nd, 2021, 14:00-15:00 

LocationR408, IMS

 

Speaker: Prof. Xiaobo Liu, Peking University

AbstractGenerating functions of intersection numbers of certain tautological classes on moduli spaces of stable curves provide geometric solutions to integrable systems. Notable examples are the Kontsevich-Witten tau function and Brezin-Gross-Witten tau function. Both of them are tau-functions of the KdV hierarchy. Recently Mironov-Morozov and Alexandrov conjectured that these tau functions can be represented as linear combinations of Schur's Q-polynomial with simple coefficients. In this talk I will describe proofs of these conjectures and a similar conjecture for generalized BGW tau functions. This is a joint work with Chenglang Yang. 

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