3 citations · 5 across the 4 of their papers we have counts for
5 papers
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…
Hodge Filtrations on Tempered Hodge Modules
Dougal Davis, Kari Vilonen
We show that the Hodge filtration of a tempered Hodge module is generated by the lowest piece of its Hodge filtration. As a consequence, we prove the main conjecture of [SV] in the…
Mixed Hodge modules and real groups
Dougal Davis, Kari Vilonen
Let be a complex reductive group, an involution, and . In arXiv:1206.5547, W. Schmid and the second named author proposed a program to study unitary…
On subregular slices of the elliptic Grothendieck-Springer resolution
Dougal Davis
In \cite{davis19}, the author constructed an elliptic version of the Grothendieck-Springer resolution for the stack of principal bundles under a simply connected s…
The elliptic Grothendieck-Springer resolution as a simultaneous log resolution of algebraic stacks
Dougal Davis
Let be a simply connected simple algebraic group. The classical multiplicative and additive Grothendieck-Springer resolutions are simultaneous resolutions of singularities for…