5 citations · 6 across the 8 of their papers we have counts for
9 papers
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…
Moduli of -bundles on rigid gerbes over affine curves
Peter Dillery
We geometrize the basic cohomology set for a global function field . We do this by constructing a v-stack which…
A Tannakian description of the local Kaletha gerbe
Alexander Bertoloni Meli, Peter Dillery
We construct, for a -adic field , an explicit semisimple Tannakian category whose category of fiber functors recovers Kaletha's Galois gerbe $\mathcal{E}…
Non-basic rigid packets for discrete -parameters
Peter Dillery, David Schwein
This article initiates the study of non-basic rigid inner forms over -adic local fields, extending the basic theory developed by Kaletha. Motivated by the recent work of Bertolo…
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…
The canonical join complex for biclosed sets
Alexander Clifton, Peter Dillery, Alexander Garver
The canonical join complex of a semidistributive lattice is a simplicial complex whose faces are canonical join representations of elements of the semidistributive lattice. We give…