$p$-adic Hodge theory and delta geometry

Abstract: We will talk about a new $p$-adic Galois representation that comes from $\delta$-geometry. Here, we construct a new filtered Isocrystal associated to an abelian scheme that is different from the usual crystalline cohomology. In the case of elliptic curves, depending on a modular parameter, this Isocrystal is also weakly admissible which leads to a new crystalline Galois representation attached to the elliptic curve via the Fontaine functor. This is joint work with Jim Borger.

We will dedicate the first half of the talk on giving an overview of $p$-adic Hodge theory and $\delta$-geometry.

algebraic geometrynumber theory

Audience: researchers in the topic

CMI seminar series

Series comments: Please visit the seminar series homepage for streaming details. Timings of the seminar vary from week to week.