- BIMSA 讲座

Quantum dynamical Weyl group and algebraic quantum difference equations for the arbitrary shuffle algebras

组织者

唐鑫星

演讲者

祝天擎

时间

2026年09月02日 10:30 至 11:30

地点

A3-4-101

线上

Zoom 928 682 9093 (BIMSA)

摘要

Quantum dynamical weyl group is the dynamical analog of the quantum weyl group for the quantum affine algebras. It has rich application such as the application for the construction of the difference trigonometric casimir connection. In this talk I will introduce how to construct the quantum dynamical weyl group for the arbitrary shuffle algebras, which is a generalisation of the quantum affine algebras. As the application, I will show how to construct the algebraic analog of the Okounkov-Smirnov quantum difference equation, which is also a difference analog of the trigonometric casimir connection. We prove that such algebraic quantum difference operators commute with each other and also commute with the qKZ equation. If time permits, we will also show that in the special case of the preprojective K-theoretic Hall algebra, the algebraic quantum difference equation coincides with the Okounkov-Smirnov quantum difference equation.