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20192023
most citedThe elliptic Grothendieck-Springer resolution as a simultaneous log resolution of algebraic stacks

3 citations · 5 across the 4 of their papers we have counts for

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math.RT2023

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…

math.RT2022

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…

math.RT2022★ 2 cited

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…