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math.RT2025
Parabolic geometric Eisenstein series and constant term functors
Joakim Faergeman, Andreas Hayash
We prove a compatibility between parabolic restriction of Whittaker sheaves and restriction of representations under the geometric Casselman-Shalika equivalence. To do this, we est…
math.RT2025
Singular support for G-categories
Gurbir Dhillon, Joakim Færgeman
For a reductive group , we introduce a notion of singular support for cocomplete dualizable DG-categories equipped with a strong -action. This is done by considering the sing…
math.RT2024
Quasi-Tempered Automorphic D-modules
Joakim Færgeman
In this paper, we introduce the category of quasi-tempered automorphic D-modules, which is a rather natural class of D-modules from the point of view of geometric Langlands. We pro…