10 citations · 43 across the 17 of their papers we have counts for
18 papers
Arithmetic Properties Of -adic Étale 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 e…
-adic sheaves on classifying stacks, and the -adic Jacquet-Langlands correspondence
David Hansen, Lucas Mann
We establish several new properties of the -adic Jacquet-Langlands functor defined by Scholze in terms of the cohomology of the Lubin-Tate tower. In particular, we reprove Schol…
An enhanced six-functor formalism for diamonds and v-stacks
Daniel Gulotta, David Hansen, Jared Weinstein
This article extends Scholze's six functor formalism for diamonds to a very general class of stacky morphisms between v-stacks, using -categorical techniques developed by L…
Relative Perversity
David Hansen, Peter Scholze
We define and study a relative perverse -structure associated with any finitely presented morphism of schemes , with relative perversity equivalent to perversity of t…
The six functors for Zariski-constructible sheaves in rigid geometry
Bhargav Bhatt, David Hansen
We prove a generic smoothness result in rigid analytic geometry over a characteristic zero nonarchimedean field. The proof relies on a novel notion of generic points in rigid analy…
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…