Every smooth proper algebraic variety over a p-adic field is expected to have a 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 étale local systems on a smooth rigid analytic variety.

This talk is related to this arXiv paper.

This video is part of the Institute for Advanced Study‘s Number theory seminar.