4 papers
Multivariate V-filtrations and the Strong Monodromy Conjecture for hyperplane arrangements
Dougal Davis, Ruijie Yang
In this work, we develop a new theory of multivariate V-filtration on D-modules along a simple normal crossing divisor and relate it with Sabbah's multi-filtration. We establish se…
Archimedean zeta functions, singularities, and Hodge theory
Dougal Davis, András C. LÅrincz, Ruijie Yang
We use Hodge theory to relate poles of the Archimedean zeta function of a holomorphic function with several invariants of singularities. First, we prove that the largest…
On the Hodge and V-filtrations of mixed Hodge modules
Dougal Davis, Ruijie Yang
In this paper, we prove a Beilinson-type formula for the V-filtration of Kashiwara and Malgrange on a complex mixed Hodge module, using Hodge filtrations on the localization. Our f…
Hodge theory, intertwining functors, and the Orbit Method for real reductive groups
Dougal Davis, Lucas Mason-Brown
We study the Hodge filtrations of Schmid and Vilonen on unipotent representations of real reductive groups. We show that for various well-defined classes of unipotent representatio…