Caltech-Tsinghua Joint Colloquium

310 Linde Hall & https://caltech.zoom.us/j/83185685455

Tsuji proved a purity result for crystalline local systems, stating that any de Rham local system over the adic generic fiber of a small smooth formal base is crystalline if and only if its restriction to a certain nonclassical point is crystalline. This talk will present a logarithmic generalization of this result. We will discuss how our proof connects to the prismatic F-crystal classifications of semi-stable local systems. This work is based on a joint project with Tong Liu, Yong Suk Moon, and Koji Shimizu.