A p-adic monodromy theorem for de Rham local systems

Algebra and Number Theory Seminar
Event time: 
Tuesday, January 21, 2020 - 4:15pm
LOM 205
Koji Shimizu
Speaker affiliation: 
Institute for Advanced Study
Event description: 

Abstract: Every smooth proper algebraic variety over a $p$-adic field is expected to have semistable model after passing to a finite extension. This conjecture is open in general, but its analogue for Galois representations, the $p$-adic monodromy theorem, is known. In this talk, we will explain a generalization of this theorem to etale local systems on a rigid analytic variety.