A Reconstruction Theorem for Coadmissible D-cap-modules
发布时间：2026年05月25日
浏览次数：12
发布者: He Liu
主讲人： Finn Wiersig (National University of Singapore)
活动时间： 从 2026-05-27 14:00 到 15:00
场地： 北京国际数学研究中心，全斋全9教室
Let X be a smooth rigid-analytic variety. Ardakov and Wadsley introduced the sheaf D-cap of infinite order differential operators on X, along with the category of coadmissible D-cap-modules. In this talk, we present a Riemann–Hilbert correspondence for these coadmissible D-cap-modules. Specifically, we interpret a coadmissible D-cap-module as a p-adic differential equation, explain what it means to solve such an equation, and describe how to reconstruct the module from its solutions.
