报告人：付强教授

                同济大学

报告题目：Affine quantum Schur--Weyl duality and BLM realization of quantum affine $\frak{gl}_n$

报告时间：2017年1月5日下午4:00

报告地点：海韵数理楼661

联系人：林亚南教授

摘要： Quantum Schur--Weyl duality is a certain double centralizer property associated with some bimodules of quantum $\frak{gl}_n$ and the Hecke algebra (of type $A$)---the tensor spaces of the natural representation of quantum $\frak{gl}_n$. This is the quantum version of the well-known Schur--Weyl duality which was beautifully used in H. Weyl's influential book.

In the seminal work, Beilinson--Lusztig--MacPherson gave a beautiful realization for quantum $\frak {gl}_n$ via a geometric setting of quantum Schur algebras.

This remarkable work has important applications to the investigation of integral quantum Schur--Weyl reciprocity. We will talk about affine quantum Schur--Weyl duality, BLM realization of quantum affine $\frak{gl}_n$ and its application. This talk is based on joint works with Bangming Deng

and Jie Du.

 欢迎广大师生参加！