2021
DOI: 10.1007/s00208-020-02139-6
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p-adic étale cohomology of period domains

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Cited by 5 publications
(5 citation statements)
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References 49 publications
(109 reference statements)
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“…Remark 10 We expect that Proposition 9 also holds in the case that F is a local function field. More precisely, we expect that the map (6) for l = p is inverse to the one constructed in [3].…”
Section: Proposition 9 Let F Be a P-adic Field For Every Abelian Prof...mentioning
confidence: 99%
See 1 more Smart Citation
“…Remark 10 We expect that Proposition 9 also holds in the case that F is a local function field. More precisely, we expect that the map (6) for l = p is inverse to the one constructed in [3].…”
Section: Proposition 9 Let F Be a P-adic Field For Every Abelian Prof...mentioning
confidence: 99%
“…[21]) and Colmez-Dospinescu-Hauseux-Nizioł (cf. [3]) imply that the extension attached to the identity id : F × → F × can be regarded as a universal extension (see Proposition 9).…”
Section: Introductionmentioning
confidence: 99%
“…For R algebraically closed, the conjecture has been proved for the level 0 37 representations of any G or when G has rank 1 (Martin Weissman [201]), G is an inner form of GL(n, F ) (Minguez-Sécherre [138]), or of SL(n, F ) (Peyi Cui [36], [37]), G is a classical group and p = 2 (Shaun Stevens [185], Stevens-Kurinczuk-Daniel Skodlerak [131]) or a quaternionic form of G (Skodlerak [179]), G splits on a moderately ramified extension of F and p does not divide the order of the absolute Weyl group (Jessica Fintzen [66]), Algebraically closed is not necessary and there is an explicit list X of pairs (K, W ) of G where K is an open subgroup of G compact modulo the center and 34 supposing that a uniformizer of F acts trivially 35 ρP is half the sum of the roots of AM in LieP . The formula can be simplified !…”
Section: Representations In Characteristic Different From Pmentioning
confidence: 99%
“…We expect that Proposition 9 also holds in the case that F is a local function field. More precisely, we expect that the map (5) for l = p is inverse to the one constructed in [CDHN20].…”
Section: Extensions Of Generalized Steinberg Representationsmentioning
confidence: 99%
“…[Orl05]) and Colmez-Dospinescu-Hauseux-Nizio l (cf. [CDHN20]) imply that the extension attached to the identity id : F × → F × can be regarded as a universal extension (see Proposition 9).…”
mentioning
confidence: 99%