Sheaf Realization of Bridgeland's Hall Algebra of Dynkin Type
报告题目: Sheaf Realization of Bridgeland's Hall Algebra of Dynkin Type
报告专家:方杰鹏（北京大学）
报告时间: 2023年3月22日15:00-16:00
报告地点：数学学院东409
报告摘要:Bridgeland realized the whole quantum group $U_v(\mathfrak{g})$ via the localization of Ringel-Hall algebra of two-periodic projective complexes of quiver representations over a finite field. We generalize Lusztig's categorical construction for the nilpotent part $U_v(\mathfrak{n}^+)$ to Bridgeland's Hall algebra in Dynkin type and obtain a perverse sheaf realization of global basis which has positivity. This is a joint work with Yixin Lan and Jie Xiao.
邀请人：卢明
