Connections and symmetric differentials
Appears in collection : Tropical Geometry, Berkovich Spaces, Arithmetic D-Modules and p-adic Local Systems
f X is a smooth complex projective variety without differential form, every local system has finite monodromy (Brunebarbe-Klingler-Totaro). In work in progress with Michael Groechenig, we develop a positive characteristic analog. We'll discuss the rank 2 case and how ideally it relates to isocrystals,