威尼斯人娱乐场

BIMSA-YMSC Tsinghua Number Theory Seminar

Organizers：

Hansheng Diao, Heng Du, Yueke Hu, Bin Xu, Yihang Zhu

Speaker：

Yichao Tian 田一超 (MCM)

Time：

Mon., 10:00-11:00 am, Nov. 24, 2025

Venue：

B627, Shuangqing Complex Building A

Title:

Prismatic-étale comparison theorem for semistable local systems

Abstract:

Let K be a finite extension of Q_p, and X be a semistable p-adic formal scheme over O_K. Semistable étale 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 étale 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 étale cohomology of a semistable Z_p-local system on X_K and the cohomology of its attached log prismatic F-crystals.