A Riemann-Hilbert correspondence for D-cap-Modules Ⅳ

Speaker: Dr. Finn Wiersig，National University of Singapore

Title: A Riemann-Hilbert correspondence for D-cap-Modules Ⅳ

Language: English

Time & Venue: 2026.05.27  09:30-11:00  MCM110

Abstract: I discuss work on a Riemann-Hilbert correspondence for modules over Ardakov-Wadsley's sheaf D-cap of infinite order differential operators on a smooth rigid-analytic variety. The final lecture, based on joint work in progress with Konstantin Ardakov, explores explicit computations of the solution functor. These examples suggest a conjecture: the solutions of many D-cap-modules are constructible, drawing a parallel with Kashiwara's classical constructibility theorem.