报 告 人：罗栗副教授

华东师范大学

题目：The q-Schur algebras and q-Schur dualities of finite type

时间：2018年9月14日16:00

地点：数理楼661

报告摘要：We formulate a q-Schur algebra associated to an arbitrary W-invariant finite set X_f of integral weights for a complex simple Lie algebra with Weyl group W. We establish a q-Schur duality between the q-Schur algebra and Hecke algebra associated to W. We then realize geometrically the q-Schur algebra and duality, and construct a canonical basis for the q-Schur algebra with positivity. With suitable choices of X_f in classical types, we recover the q-Schur algebras in the literature. Furthermore, we will establish its connection to the BGG category O.This is joint work with Weiqiang Wang.

报告人简介：罗栗，华东师范大学9001cc金沙副教授。本科毕业于中国科学技术大学数学系，后于中国科学院数学与系统科学研究院获博士学位，曾先后在澳大利亚悉尼大学、美国弗吉尼亚大学等地做学术访问。主要从事表示论研究，相关工作发表在Memo.AMS、J.LMS、J.Alg.等国际学术刊物上，目前正主持一项国家自然科学基金面上项目。

联系人：谭绍滨教授、王清教授

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