时间:2026年9月22日(周二)15:00-16:00
地点:浙大紫金港校区海纳苑2幢206室
报告人:中国科学院数学与系统科学研究院 迟敬人
报告主题:Reductive monoids over general base
报告摘要:We report on a theory of affine algebraic monoids over general base schemes whose unit groups are reductive. Our main result is a classification theorem for such objects, generalizing works of Vinberg and Rittatore over a field. As applications, we establish 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.