数学研究所

学术报告

杰出访问研究员综合报告会

Speaker: Prof. Tomoyuki Abe（东京大学）

Inviter: 余红杰 副研究员

Language: English

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

Time&Venue: 2025年4月23日（星期三） 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.