Dougal Davis

collaborators

2 papers

math.RT2025

Mixed Hodge modules and real groups

Dougal Davis, Kari Vilonen

Let $G$ be a complex reductive group, $I^¸ : G \to G$ an involution, and $K = G^{I^} ¸$ . In arXiv:1206.5547, W. Schmid and the second named author proposed a program to study unitar…

math.RT2025

Unitary representations of real groups and localization theory for Hodge modules

Dougal Davis, Kari Vilonen

We prove a conjecture of Schmid and the second named author that the unitarity of a representation of a real reductive Lie group with real infinitesimal character can be read off f…