# A p-adic monodromy theorem for de Rham local systems

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Koji Shimizu, IAS
IAS - Simonyi Hall Seminar Room SH-101

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 smooth rigid analytic variety.