Towards categorification of quantum Grassmannian cluster algebras
报告题目(Title)：Towards categorification of quantum Grassmannian cluster algebras
报告人(Speaker)：Xiuping Su (University of Bath, UK)
地点(Place)：后主楼1223报告厅
时间(Time)：2019年6月26日9:00-10:00
邀请人(Inviter)：刘玉明
报告摘要
Based on a cluster category CM(A), we construct compatible pairs of matrices (B(T), L(T)) from a cluster tilting object T in CM(A). We show that
1) when the matrix L is constructed from certain special cluster tilting objects , L computes quasi-commutation rules for quasi-commuting quantum minors.
2) Mutation of (B(T), L(T)) is consistent with mutation of cluster tilting objects.
The goal of this talk is to explain how 1) and 2) lead to a quantum cluster algebra structure on a quantum Grassmannian and thus a categorification of the quantum Grassmannian cluster algebra.
