Seminar Arithmetic Geometry

Zhouhang Mao (Paris)

Projectively generated ∞-categories and left derived functors turn out to be important in derived geometry. In this talk, we will present the result of the ∞-category of surjections  of animated rings being projectively generated, the notion of animated PD-pairs —  surjections of animated rings with a “derived” PD-structure, and how to use these tools to study the crystalline and prismatic cohomology. In particular, we will deduce various comparison theorems without finiteness conditions.

Zoom (Meeting-ID: 635 7328 0984, Password: smallest six digit prime)