On the structure of some p-adic period domains
M Chen, L Fargues, X Shen - arXiv preprint arXiv:1710.06935, 2017 - arxiv.org
We prove the Fargues-Rapoport conjecture for p-adic period domains: for a reductive group
G over a p-adic field and a minuscule cocharacter {\mu} of G, the weakly admissible locus …
G over a p-adic field and a minuscule cocharacter {\mu} of G, the weakly admissible locus …
On the étale cohomology of Hilbert modular varieties with torsion coefficients
A Caraiani, M Tamiozzo - Compositio Mathematica, 2023 - cambridge.org
We study the étale cohomology of Hilbert modular varieties, building on the methods
introduced by Caraiani and Scholze for unitary Shimura varieties. We obtain the analogous …
introduced by Caraiani and Scholze for unitary Shimura varieties. We obtain the analogous …
Extensions of vector bundles on the Fargues-Fontaine curve
We completely classify the possible extensions between semistable vector bundles on the
Fargues–Fontaine curve (over an algebraically closed perfectoid field), in terms of a simple …
Fargues–Fontaine curve (over an algebraically closed perfectoid field), in terms of a simple …
On the connectedness of -adic period domains
I Gleason, J Lourenço - arXiv preprint arXiv:2210.08625, 2022 - arxiv.org
arXiv:2210.08625v2 [math.NT] 28 Dec 2022 Page 1 arXiv:2210.08625v2 [math.NT] 28 Dec 2022
ON THE CONNECTEDNESS OF p-ADIC PERIOD DOMAINS. IAN GLEASON, JOÃO LOURENÇO …
ON THE CONNECTEDNESS OF p-ADIC PERIOD DOMAINS. IAN GLEASON, JOÃO LOURENÇO …
Dualizing complexes on the moduli of parabolic bundles
L Hamann, N Imai - arXiv preprint arXiv:2401.06342, 2024 - arxiv.org
For a non-archimedean local field $ F $ and a connected reductive group $ G $ over $ F $
equipped with a parabolic subgroup $ P $, we show that the dualizing complex on $\mathrm …
equipped with a parabolic subgroup $ P $, we show that the dualizing complex on $\mathrm …
Non-semi-stable loci in Hecke stacks and Fargues' conjecture
We show the Harris--Viehmann conjecture under some Hodge--Newton reducibility
condition for a generalization of the diamond of a non-basic Rapoport--Zink space at infinite …
condition for a generalization of the diamond of a non-basic Rapoport--Zink space at infinite …
[PDF][PDF] Degenerating vector bundles in p-adic Hodge theory
D Hansen - J. Inst. Math. Jussieu, to appear, 2017 - davidrenshawhansen.net
We compute the closure relations among the individual Harder-Narasimhan strata in the
moduli stack of rank n vector bundles on the Fargues-Fontaine curve. The proof combines a …
moduli stack of rank n vector bundles on the Fargues-Fontaine curve. The proof combines a …
On the strongly regular locus of the inertia stack of
DR Gulotta - arXiv preprint arXiv:2312.17307, 2023 - arxiv.org
Let $ G $ be a connected reductive group over a finite extension of $\mathbb {Q} _p $. We
show that for each $ b\in B (G) $, the strongly regular locus of the inertia stack of $\mathrm …
show that for each $ b\in B (G) $, the strongly regular locus of the inertia stack of $\mathrm …
Convolution morphisms and Kottwitz conjecture
N Imai - arXiv preprint arXiv:1909.02328, 2019 - arxiv.org
We define etale cohomology of the moduli spaces of mixed characteristic local shtukas so
that it gives smooth representations including the case where the relevant elements of the …
that it gives smooth representations including the case where the relevant elements of the …