5 citations · 6 across the 8 of their papers we have counts for
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The extended Fargues--Scholze spectral action
Peter Dillery, Arnaud Eteve
Let be a connected reductive group over a non-archimedean local field. The main result of Fargues and Scholze [FS21] for the geometrization of the local Langlands correspondenc…
Isocrystals and limits of rigid local Langlands correspondences
Peter Dillery
We show that, over a nonarchimedean local field, the rigid refined local Langlands correspondence and associated endoscopic character identities for connected reductive follow…
A stacky generalized Springer correspondence and rigid enhancements of L-parameters
Peter Dillery, David Schwein
Motivated by applications to the Langlands program, Aubert-Moussaoui-Solleveld extended Lusztig's generalized Springer correspondence to disconnected reductive groups. We use stack…
Rigid inner forms over global function fields
Peter Dillery
We construct an fpqc gerbe over a global function field such that for a connected reductive group over with finite central subgroup , the set…
Rigid inner forms over local function fields
Peter Dillery
We generalize the concept of rigid inner forms, defined by Kaletha in [Kal16], to the setting of a local function field in order state the local Langlands conjectures for arbit…