Prismatic approach to Fontaine's C_crys conjecture

Abstract: Given a smooth proper scheme over a \(p\)-adic ring of integers, Fontaine's \(C_{\mathrm{crys}}\) conjecture says that the étale cohomology of its generic fiber is isomorphic to the crystalline cohomology of its special fiber, after base changing them to the crystalline period ring. In this talk, we give a prismatic proof of the conjecture, for general coefficients, in the relative setting, and allowing ramified base rings. This is a joint work with Emanuel Reinecke.

algebraic geometrynumber theoryrepresentation theory

Audience: researchers in the topic

Comments: Link: zoom.us/j/7437362326?pwd=UXd3RzBiUWZNK2Vhdm05R0c5VlJEUT09

Zoom ID: 743 736 2326

Zoom password: 013049

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POINTS - Peking Online International Number Theory Seminar

Series comments: Description: Seminar on number theory and related topics

This seminar series is sponsored by the Beijing International Center of Mathematical Research (BICMR) and the School of Mathematical Sciences of Peking University.

The conference number and password are available on the external website. See also the announcements on bicmr.pku.edu.cn

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