5 citations · 14 across the 15 of their papers we have counts for
19 papers
Admissible pairs and -adic Hodge structures I: Transcendence of the de Rham lattice
Sean Howe, Christian Klevdal
For an algebraically closed non-archimedean extension , we define a Tannakian category of -adic Hodge structures over that is a local, -adic analog of the…
Admissible pairs and -adic Hodge structures II: The bi-analytic Ax-Lindemann theorem
Sean Howe, Christian Klevdal
We reinterpret and generalize the construction of local Shimura varieties and their non-minuscule analogs by viewing them as moduli spaces of admissible pairs. Our main application…
The conjugate uniformization via 1-motives
Sean Howe, Jackson S. Morrow, Peter Wear
We use the -divisible group attached to a 1-motive to generalize the conjugate -adic uniformization of Iovita--Morrow--Zaharescu to arbitrary -adic formal semi-abelian sch…
Cohomological and motivic inclusion-exclusion
Ronno Das, Sean Howe
We categorify the inclusion-exclusion principle for partially ordered topological spaces and schemes to a filtration on the derived category of sheaves. As a consequence, we obtain…
Slope classicality via completed cohomology
Sean Howe
We give a new proof of the slope classicality theorem in classical and higher Coleman theory for modular curves at arbitrary level using the completed cohomology classes attached t…
Zeta statistics and Hadamard functions
Margaret Bilu, Ronno Das, Sean Howe
We introduce the Hadamard topology on the Witt ring of rational functions, giving a simultaneous refinement of the weight and point-counting topologies. Zeta functions of algebraic…