Categorification of i-Characters and Feigin Maps
数学专题报告
报告题目(Title)：Categorification of i-Characters and Feigin Maps
报告人(Speaker)：沈超（清华大学）
地点(Place)：后主楼1220
时间(Time)：2025年12月10日（周三）15:00-15:50
邀请人(Inviter)：肖杰、覃帆、周宇
报告摘要
Introduced by B. Feigin (1992), the Feigin homomorphism simplifies studying $U_+(\mathfrak{g})$ by embedding its quotient into a simpler algebra, enabling efficient investigation of possible quantum cluster structure. Berenstein and Rupel (Quantum Cluster Characters for Hall Algebras) generalized this approach via i-characters—extending the domain to Hall algebras and unifying broad classes of Feigin-type maps.
In this talk, we begin by introducing key examples of Feigin-type maps. We then establish a categorification of Berenstein–Rupel's i-characters within Lusztig's geometric framework.
