REVIEW 6 cited by
On the $p$-adic pro-\'etale cohomology of Drinfeld symmetric spaces
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
abstract
Via the relative fundamental exact sequence of $p$-adic Hodge theory, we determine the geometric $p$-adic pro-\'etale cohomology of the Drinfeld symmetric spaces defined over a $p$-adic field, thus giving an alternative proof of a theorem of Colmez-Dospinescu-Niziol. Along the way, we describe, in terms of differential forms, the geometric pro-\'etale cohomology of the positive de Rham period sheaf on any connected, paracompact, smooth rigid-analytic variety over a $p$-adic field, and we do it with coefficients. A key new ingredient is the condensed mathematics recently developed by Clausen-Scholze.
Forward citations
Cited by 6 Pith papers
-
A Dieudonn\'e theory for analytic p-divisible groups and applications to Shimura varieties
Analytic p-divisible groups over good adic spaces are equivalent to Hodge-Tate triples (T_pG, Lie G, f_G), and dualizable ones to minuscule local shtukas — yielding moduli descriptions of EL/PEL local Shimura varieties.
-
$p$-adic Fourier theory in families
The authors construct Fourier isomorphisms between function spaces on p-divisible rigid analytic groups and analytic functions on dual Z_p-local systems, over arbitrary small v-stacks, and apply them to build global E...
-
A fully faithful p-adic Riemann-Hilbert functor for coadmissible D-cap-modules
A p-adic Riemann-Hilbert correspondence is established: after base change to the overconvergent almost de Rham period sheaf, the solution functor becomes fully faithful on coadmissible D-modules.
-
$p$-adic Maass--Shimura operators on $\mu$-ordinary Igusa varieties
The authors construct a canonical formal group action on μ-ordinary Igusa varieties for Hodge type Shimura data that integrates Maass-Shimura operators and, via p-adic Fourier theory, yields a unified algebra action e...
-
Spectral moduli problems for level structures and an integral Jacquet-Langlands dual of Morava E-theory
Derived level structures in spectral algebraic geometry are representable, yielding Jacquet-Langlands spectra and a proposed Jacquet-Langlands dual of Morava E-theory.
-
A Mackey criterion for locally analytic representations
Compact induction of a uniformly simple admissible locally analytic representation from an open compact-mod-centre subgroup is topologically irreducible when there are no nontrivial intertwiners with its conjugates.
Discussion (0). Continue with ORCID to comment.