报告题目：W-representations of matrix models

报告人：赵伟忠 研究员 （首都师范大学）

报告时间：2024年6月13日（周四）下午15:30-16:30

报告地点：北洋园校区49教410室

报告摘要：

W-representations of matrix models give the dual expressions for the partition functions through differentiation rather than integration. More precisely, the partition functions are realized by acting on elementary functions with exponents of the given W-operators. We construct the (β-deformed) partition function hierarchies with W-representations. Some well known superintegrable matrix models are contained in our hierarchies. Moreover we construct the generalized β and (q,t)-deformed partition functions through W representations, where the expansions are respectively with respect to the generalized Jack and Macdonald polynomials labeled by N-tuple of Young diagrams. We find that there are the profound interrelations between our deformed partition functions and the Nekrasov partition functions.

报告人简介：

赵伟忠，首都师范大学数学科学学院研究员，博士生导师。1997年毕业于中国科学院理论物理研究所，获理学博士学位；以色列Ben-Gurion大学物理系博士后（2001年9月-2003年9月）。研究方向: 数学物理，主要研究量子场论以及量子多体理论。