Time：15:00-16:00, September 22 2026
Venue: Room 206, Hai Na Yuan #2, Zijinggang Campus, Zhejiang University
Speaker: Jingren Chi, Academy of Mathematics and Systems Science, Chinese Academy of Sciences
Title：Reductive monoids over general base
Abstract：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.
