Nearby cycle of arithmetic D-modules and some applications
Prof. Tomoyuki Abe
2025-04-23 14:00-16:30
MCM110
Speaker: Prof. Tomoyuki Abe (Kavli IPMU)
Time: 14:00-16:30 April 23, 2025 (Wednesday)
Venue: MCM110
Title: Nearby cycle of arithmetic D-modules and some applications
Abstract: Arithmetic D-module is the 6-functor formalism for a p-adic cohomology for varieties over field of positive characteristic, introduced by Berthelot. Thanks to the works of Berthelot, Caro and others, most of the foundations has been laid. Even though I introduced nearby cycle functor some years ago, there are still some deficits. I want to discuss the theory of nearby cycles and arithmetic D-module theory for formal schemes. The first talk is mainly the review of the theory, and at the end of the second talk, I want to give some applications to the algebraicity of diagonal sequence. The talk is partly a joint work with R. Crew.
