Number Theory Seminar: Integral relations between p-adic cohomology theories

Seminar | January 18 | 3:40-5 p.m. | 939 Evans Hall

 Kestutis Cesnavicius, UC Berkeley

 Department of Mathematics

I will give an introduction to this semester's number theory learning seminar, whose goal is to discuss the relations that result from the techniques of Bhatt–Morrow–Scholze between different integral cohomology theories (p-adic etale, de Rham, crystalline...) of varieties over p-adic fields. Such relations may be viewed as refinements of the comparison theorems of "rational" p-adic Hodge theory—these comparisons generally do not preserve integral structures. After giving an overview, I will distribute the lectures to volunteers.