Speaker: Prof. Tomoyuki Abe，东京大学

Inviter: 余红杰 副研究员

Title: Nearby cycle of arithmetic D-modules and some applications

Language: English

Time & Venue: 2024.04.23 14:00-15:00  15:30-16:30  晨兴110

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.