中国科学院数学与系统科学研究院
数学研究所
数学科学全国重点实验室
表示论研讨班
Speaker: 迟敬人（中国科学院数学与系统科学研究院）
Inviter: 杨若涛
Language: Chinese
Title:Reductive monoids over general base
Time & Venue: 2026年6月18日（星期四）14: 30 - 15: 30 & N818
Abstract:We report on a theory of affine algebraic monoids over general base schemes whose unit groups are split reductive. Our main result is a classification theorem for such objects, generalizing works of Vinberg and Rittatore over a field. As applications, we obtain combinatorial descriptions and normality properties of orbit closures, prove a Steinberg-type theorem on adjoint quotients of reductive monoids over general base schemes, and construct finite type integral models of the Vinberg monoids. A main tool in our construction is Lusztig's theory of modified quantum groups and canonical bases. This is joint work with Simon Jacques.
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