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Prismatic-etale comparison theorem for semistable local systems

组织者

刁晗生 , 杜衡 , 胡悦科 , Bin Xu , Yihang Zhu

演讲者

田一超

时间

2025年11月24日 10:00 至 11:00

地点

Shuangqing-B627

摘要

Let $K$ be a finite extension of $Q_p$, and $X$ be a semistable $p$-adic formal scheme over $O_K$. Semistable etale local systems on $X_{K}$ can be viewed as natural generalizations of classical semistable Galois representations over $K$. Recently, Du-Liu-Moon-Shimizu proved that the category of semistable etale $Z_p$-local systems on $X_{K}$ are equivalent to analytic prismatic $F$-crystals on the absolute log-prismatic site of $X$. In this talk, I will explain a comparison theorem between the geometric etale cohomology of a semistable $Z_p$-local system on $X_K$ and the cohomology of its attached log prismatic $F$-crystals.