v-vector bundles on rigid spaces

Abstract: This talk is about the difference between vector bundles on a smooth rigid space X and v-vector bundles on the associated diamond. In the case of line bundles, I will explain how this difference can be fully described in terms of differentials using a "Hodge-Tate logarithm" map. For proper X, I will explain how one can use the proétale universal cover of X to interpret this description as a p-adic Simpson correspondence of rank 1.

commutative algebraalgebraic geometrynumber theory

Audience: researchers in the topic

Recent Advances in Modern p-Adic Geometry (RAMpAGe)

Series comments: The Zoom Meeting ID is: 995 3670 1681. The password for the series is: *The first three-digit prime*. Please visit the external homepage for notes and videos from past talks.