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On the Right Derived Functors of Ordinary Parts
Manuel Hoff, Sarah Diana Meier, Michael Spieß +1
We prove a variant of Emerton's conjecture concerning the right derived functors of the ordinary parts functor . This functor plays an important role in the…
The Geometrical Lemma for Smooth Representations in Natural Characteristic
Claudius Heyer
The Geometrical Lemma is a classical result in the theory of (complex) smooth representations of -adic reductive groups, which helps to analyze the parabolic restriction of a pa…
The Left Adjoint of Derived Parabolic Induction
Claudius Heyer
We prove that the derived parabolic induction functor, defined on the unbounded derived category of smooth mod representations of a -adic reductive group, admits a left adjo…
Localization of the Parabolic Hecke Algebra at a Strictly Positive Element
Claudius Heyer
Let be a parabolic subgroup with Levi of a connected reductive group defined over a locally compact non-archimedean field . Given a certain compact ope…
Parabolic Induction via the Parabolic pro- Iwahori--Hecke Algebra
Claudius Heyer
Let be a connected reductive group defined over a locally compact non-archimedean field , let be a parabolic subgroup with Levi and compat…