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math.AG2025
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…
math.RT2025
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…