2 papers
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.AG2025
Arithmetic Properties Of -adic Ãtale Cohomology and Nearby Cycles of Rigid-Analytic Spaces
David Hansen, Bogdan Zavyalov
We prove a number of results on the étale cohomology of rigid analytic varieties over -adic non-archimedean local fields. Among other things, we establish bounds for Frobenius…