题目：Schur-Weyl duality and coideals of quantum groups
报告人：罗栗（华东师范大学）
报告时间：2017年9月22日上午9:00-9:50
报告地点：维格堂113  摘要：The classical Schur-Weyl duality shows a double centralizer 
property between general linear groups and symmetric groups. In this talk, we will introduce 
some coideals of (affine) quantum groups U_q(gl_n), which admit Schur-Weyl duality with
 (affine type C) Hecke algebras. These coideals can be realized by a geometric approach due to
 Beilinson-Lusztig-MacPherson.This is part of a joint work with Zhaobing Fan, Chun-Ju Lai, 
Yiqiang Li and Weiqiang Wang 
题目：Category O and q-Schur duality of type G_2
报告人：罗栗（华东师范大学）
报告时间：2017年9月22日上午10:00-10:50
报告地点：维格堂113
摘要：In this talk, we will identify  the ``q-Grothendieck groups''
 of Category O for type G_2 by the q-tensor space, on which the q-Schur algebra 
and Hecke algebra form a double centralizer property. We show that the q-Schur 
algebra can be generated by the translation functors. This is a joint work with Weiqiang Wang.