Commutative Algebra Seminar

Title

Connections and lifting theory of DG modules

Abstract

Lifting theory was studied by Auslander, Ding, and Solberg for modules and by Yoshino for complexes. Further progress on this theory has been made recently (in the works of Nasseh, Ono, Sather-Wagstaff, and Yoshino) in the context of differential graded (DG) modules in order to obtain a clearer insight on some major problems in commutative algebra.

In this talk, I will survey recent developments on the lifting theory of DG modules and describe a relationship between this notion and a DG version of the notion of connections. This is an in-progress joint work with Maiko Ono and Yuji Yoshino.