Caltech-Tsinghua Joint Colloquium
Online and In-Person Event
A Purity Result for Semi-Stable Local Systems
Heng Du,
Yau Mathematical Sciences Center,
Tsinghua University,
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.
For more information, please contact Math Department by phone at 626-395-4335 or by email at [email protected] or visit http://www.its.caltech.edu/~rhzhao/Seminar/CaltechTsinghua23-24/index.html.
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