“Overconvergent Prismatic Cohomology”
Venerdì 10 Maggio 2024, ore 14:30 - Aula 2AB45 - Andreas Langer (Exeter)
Abstract
In my talk I will present a dagger version of prisms and prismatic cohomology that were introduced by Bhatt and Scholze. This leads to the definition of overconvergent prismatic cohomology which -rationally- computes the rigid cohomology of smooth varieties over a perfect field. I also obtain dagger analogues -for smooth weak formal schemes over a perfectoid ring- of the de Rham and etale comparison theorems for prismatic cohomology as proven by Bhatt and Scholze. Finally there exists a dagger version of $\mathbb{A}_{\mathrm{inf}}$ cohomology defined by Bhatt, Morrow and Scholze which can be compared with overconvergent prismatic cohomology.
