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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.NT2024
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…