Title：Nilpotent category of monoidal category and tensor-Hom adjunction

Abstract：Let C be an abelian monoidal category. It is proved that the nilpotent category Nil(C) of C admits almost monoidal structure except the unit axiom. As an application, it is proved that Hom and Tensor functors exist over Nil(C) and Tensor-Hom adjunction remains true over the nilpotent category of the category finite-dimensional vector spaces, which develops some recent results on this topic.

Speaker：Yuehui Zhang, School of Mathematical Sciences, Shanghai Jiao Tong University

Date：2025-7-5（15:00-16:30）

Venue: 407

Organizer：School of Mathematical Science

Inviter：Libin Li

Students and teachers are welcome.