报告题目：Factorization of Shapovalov elements

报 告 人：Andrey Mudrov（Moscow Institute of Physics and Technology and University of Leicester）

报告时间：2022年06月17日 15:00-17: 00

报告地点：ZOOM ID：862 062 0549, Password:2022

报告摘要：A classical result of J. Bernstein, I. Gelfand and S. Gelfand says that a singular vector in a Verma module over a simple complex Lie algebra can be obtained from its highest vector by applying a product of special elements of the negative nilpotent subalgebra called Shapovalov elements. We provide explicit formulas for those elements, and hence for singular vectors of the Verma modules, expressing them through certain matrix elements of the inverse contravariant Shapovalov form.

报告人简介：The speaker is currently an Associate Professor and a Senior Researcher at the Center of Fundamental Mathematics in MIPT, and an Honorary Lecturer at the University of Leicester. He is specializing in quantum groups, deformation quantization and related topics.