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!