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math.NT2025
Perfectoid Shimura varieties and the Calegari-Emerton conjectures
David Hansen, Christian Johansson
We prove many new cases of a conjecture of Calegari-Emerton describing the qualitative properties of completed cohomology. The heart of our argument is a careful inductive analysis…
math.NT2024
Endoscopy on -eigenvarieties
Christian Johansson, Judith Ludwig
In this paper, we study p-adic endoscopy on eigenvarieties for over totally real fields, taking a geometric perspective. We show that non-automorphic members of end…