2 citations · 5 across the 8 of their papers we have counts for
8 papers
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…
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…
Proof of the geometric Langlands conjecture IV: ambidexterity
D. Arinkin, D. Beraldo, L. Chen +5
This paper performs the following steps toward the proof of GLC in the de Rham setting: (i) We deduce GLC for G=GL_n; (ii) We prove that the Langlands functor L_G constructed in [G…
Proof of the geometric Langlands conjecture III: compatibility with parabolic induction
Justin Campbell, Lin Chen, Joakim Faergeman +4
We establish the compatibility of the Langlands functor with the operations of Eisenstein series constant term, and deduce that the Langlands functor induces an equivalence on Eise…
Motivic realization of rigid G-local systems on curves and tamely ramified geometric Langlands
Joakim Færgeman
For a reductive group , we prove that complex irreducible rigid -local systems with quasi-unipotent monodromies and finite order abelianization on a smooth curve are motivic,…
Proof of the geometric Langlands conjecture II: Kac-Moody localization and the FLE
D. Arinkin, D. Beraldo, J. Campbell +6
This paper is the second in a series of five that together prove the geometric Langlands conjecture. Our goals are two-fold: (1) Formulate and prove the Fundamental Local Equivalen…
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…
On super-monomial characters and groups having two irreducible monomial character degrees
Joakim Færgeman
A character of a group is said to be super-monomial if every primitive character inducing it is linear. It is conjectured by Isaacs that every irreducible character of an odd -g…