A Reconstruction Theorem for Coadmissible D-cap-modules
Time: 2026-05-25
Published By: He Liu
Speaker(s): Finn Wiersig (National University of Singapore)
Time: 14:00-15:00 May 27, 2026
Venue: Room 9, Quan Zhai, BICMR
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.
