4 papers
math.RT2026
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…
math.NT2026
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…
math.NT2026
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}…
math.RT2025
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…