Conference on Arithmetic Geometry in honor of Luc Illusie

Collection Conference on Arithmetic Geometry in honor of Luc Illusie

Organizer(s) Lei Fu (Tsinghua University), Fabrice Orogozo (CNRS&IMJ-PRG), Weizhe Zheng (MCM, AMSS, CAS)
Date(s) 07/06/2021 - 11/06/2021
00:00:00 / 00:00:00
19 22

Remarks on p-adic logarithmic cohomology theories

By Akhil Mathew

Many p-adic cohomology theories (e.g., de Rham, crystalline, prismatic) are known to have logarithmic analogs. I will explain how the theory of the “infinite root stack” (introduced by Talpo-Vistoli) gives an alternate approach to building the logarithmic theory (from the non-logarithmic one). As a consequence, one obtains an integral version of (log-)syntomic cohomology with comparisons to p-adic nearby cycles. Joint with Bhargav Bhatt and Dustin Clausen.

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