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@article{10_1017_fmp_2023_15,
     author = {Pierre Colmez and Gabriel Dospinescu and Wies{\l}awa Nizio{\l}},
     title = {Factorisation de la cohomologie \'etale p-adique de la tour de {Drinfeld}},
     journal = {Forum of Mathematics, Pi},
     publisher = {mathdoc},
     volume = {11},
     year = {2023},
     doi = {10.1017/fmp.2023.15},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/fmp.2023.15/}
}
                      
                      
                    TY - JOUR AU - Pierre Colmez AU - Gabriel Dospinescu AU - Wiesława Nizioł TI - Factorisation de la cohomologie étale p-adique de la tour de Drinfeld JO - Forum of Mathematics, Pi PY - 2023 VL - 11 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.1017/fmp.2023.15/ DO - 10.1017/fmp.2023.15 LA - en ID - 10_1017_fmp_2023_15 ER -
%0 Journal Article %A Pierre Colmez %A Gabriel Dospinescu %A Wiesława Nizioł %T Factorisation de la cohomologie étale p-adique de la tour de Drinfeld %J Forum of Mathematics, Pi %D 2023 %V 11 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.1017/fmp.2023.15/ %R 10.1017/fmp.2023.15 %G en %F 10_1017_fmp_2023_15
Pierre Colmez; Gabriel Dospinescu; Wiesława Nizioł. Factorisation de la cohomologie étale p-adique de la tour de Drinfeld. Forum of Mathematics, Pi, Tome 11 (2023). doi: 10.1017/fmp.2023.15
[1] , , Irreducibility of global sections of Drinfeld line bundles, en préparation.Google Scholar
[2] , , Irreducible modular representations of of a local field, Duke Math. J. 75 (1994), 261–292.Google Scholar | DOI
[3] , , Modular representations of of a local field: the ordinary, unramified case, J. Number Theory 55 (1995), 1–27.Google Scholar | DOI
[4] , Central characters for smooth irreducible modular representations of , Rend. Semin. Mat. Univ. Padova 128 (2012), 1–6.Google Scholar | DOI
[5] , Représentations modulaires de et représentations galoisiennes de dimension , Astérisque 330 (2010), 263–279.Google Scholar
[6] , , Familles de représentations de de Rham et monodromie -adique, Astérisque 319 (2008), 303–337.Google Scholar
[7] , Vanishing cycles for formal schemes, Invent. math. 115 (1994), 539–571.Google Scholar | DOI
[8] , Complex analytic vanishing cycles for formal schemes, preprint.Google Scholar
[9] , , -adic étale cohomology, Publ. IHES 63 (1986), 107–152.Google Scholar | DOI
[10] , , Continuous cohomology, discrete subgroups, and representations of reductive groups, Annals of Math. Studies 94, Princeton University Press, 1980.Google Scholar
[11] , Sur quelques représentations modulaires et -adiques de . I, Compositio Math. 138 (2003), 165–188.Google Scholar | DOI
[12] , , Towards a modulo Langlands correspondence for , Memoirs of Amer. Math. Soc. 216, 2012.Google Scholar | DOI
[13] , , , , , , Patching and the -adic local Langlands correspondence, Cambridge J. Math. 4 (2016), 197–287.Google Scholar | DOI
[14] , Représentations de et -modules, Astérisque 330 (2010), 281–509.Google Scholar
[15] , , Complétés universels de représentations de , Algebra and Number Theory 8 (2014), 1447–1519.Google Scholar | DOI
[16] , , , Cohomologie -adique de la tour de Drinfeld: le cas de la dimension , J. AMS 33 (2020), 311–362.Google Scholar
[17] , , , Cohomology of -adic Stein spaces, Invent. math. 219 (2020), 873–985.Google Scholar | DOI
[18] , , , Cohomologie des courbes analytiques -adiques, Cambridge J. Math. 10 (2022), 511–655.Google Scholar | DOI
[19] , , , Correspondance de Langlands locale -adique et anneaux de Kisin, Acta Arithmetica (à paraître).Google Scholar
[20] , , , The -adic local Langlands correspondence for , Cambridge J. Math. 2 (2014), 1–47.Google Scholar | DOI
[21] , , Construction des représentations -adiques semi-stables, Invent. math. 140 (2000), 1–43.Google Scholar | DOI
[22] , , Étale cohomology of rigid analytic spaces , Doc. Math. 1 (1996), 1–56.Google Scholar | DOI
[23] , , Revêtements du demi-plan de Drinfeld et correspondance de Langlands -adique, Annals of Math. 186 (2017), 321–411.Google Scholar | DOI
[24] , , Endomorphism algebras of admissible -adic representations of -adic Lie groups, Representation Theory 17 (2013), 237–246.Google Scholar | DOI
[25] , , , Gelfand-Kirillov dimension and the -adic Jacquet-Langlands correspondence, J. reine angew. Math. (à paraître).Google Scholar
[26] , , , Localization of smooth -power torsion representations of , [math.NT].Google Scholar | arXiv
[27] , Coverings of -adic symmetric regions, Funktsional. Anal. i Prilozhen., (1976), 29-40; Funct. Anal. Appl., (1976), 107-115.Google Scholar
[28] , Local-global compatibility in the -adic Langlands programme for , preprint 2009!Google Scholar
[29] , Ordinary parts of admissible representations of -adic reductive groups I. Definition and first properties, Astérisque 331 (2010), 335–381.Google Scholar
[30] , Ordinary parts of admissible representations of -adic reductive groups II. The relation to parabolic induction, Astérisque 331 (2010), 383–438.Google Scholar
[31] , A relation between two moduli spaces studied by V.G.Drinfeld, In: Algebraic number theory and algebraic geometry, Contemp. Math. 300 (2002), 115–129.Google Scholar | DOI
[32] , , -adic periods and -adic étale cohomology, In: Current Trends in Arithmetical Algebraic Geometry, Contemporary Math. 67 (1987), 179–207.Google Scholar | DOI
[33] , Représentations -adiques potentiellement semi-stables, Astérisque 223 (1994), 321–347.Google Scholar
[34] , Continuous Cohomology and Ext-Groups, Münster J. Math. 15 (2022), 279–304.Google Scholar
[35] , Des catégories abéliennes , Bull. SMF 90 (1962), 323–448.Google Scholar
[36] , , The Breuil-Mézard conjecture for potentially Barsotti-Tate representations, Forum of Mathematics Pi 2 (2014), 56 pp.Google Scholar | DOI
[37] , Lectures on Lie groups over local fields , In: New directions in locally compact groups, 37–72, London Math. Soc. Lecture Note Ser., 447, Cambridge Univ. Press, 2018.Google Scholar | DOI
[38] , , Equivariant vector bundles on the Lubin-Tate space, In: Topology and representation theory (Evanston, IL, 1992), Contemp. Math. 158 (1994), 23–88.Google Scholar
[39] , Extensions entre séries principales -adiques et modulo de , J. Inst. Math. Jussieu 15 (2016), 225–270.Google Scholar | DOI
[40] , Diagrammes canoniques et représentations modulo de , J. Inst. Math. Jussieu 11 (2012), 67–118.Google Scholar | DOI
[41] , , On the mod cohomology for : the non-semisimple case, Cambridge J. Math. 10 (2022), 261–431.Google Scholar | DOI
[42] , , On some mod representations of quaternion algebra over , [math.NT]Google Scholar | arXiv
[43] , Étale cohomology of rigid analytic varieties and adic spaces, Aspects of Mathematics E30, Vieweg & Sohn, 1996.Google Scholar | DOI
[44] , A note on -adic étale cohomology in the semistable reduction case, Invent. math. 91 (1988), 543–557.Google Scholar | DOI
[45] , Sheaves, stacks, and shtukas, In: Perfectoid spaces. Lectures from the 2017 Arizona Winter School, held in Tucson, AZ, March 11–17, Mathematical Surveys and Monographs , American Mathematical Society, 2019.Google Scholar
[46] , Potentially semi-stable deformation rings , J. AMS 21 (2008), 513–546.Google Scholar
[47] , Smooth duality in natural characteristic , Adv. Math. 317 (2017), 1–49.Google Scholar | DOI
[48] , On some nonadmissible smooth irreducible representations for , Math. Res. Lett. 26 (2019), 1747–1758.Google Scholar | DOI
[49] , A quotient of the Lubin-Tate tower , Forum Math. Sigma 5 (2017), e17.Google Scholar | DOI
[50] , Group extensions of -adic and adelic linear groups, Publ. IHES 35 (1968), 157–222.Google Scholar | DOI
[51] , On Galois module structure of the cohomology groups of an algebraic variety , Invent. math. 75 (1984), 1–8.Google Scholar | DOI
[52] , Extensions for supersingular representations of ) , Astérisque 331 (2010), 317–353.Google Scholar
[53] , The image of Colmez’s Montreal functor , Publ. IHES 118 (2013), 1–191.Google Scholar | DOI
[54] , Blocks for mod representations of , In: Automorphic forms and Galois representations. Vol. 2, 231–247, London Math. Soc. Lecture Note Ser. , Cambridge Univ. Press, 2014.Google Scholar | DOI
[55] , On some consequences of a theorem of J. Ludwig, J. Inst. Math. Jussieu 21 (2022), 1067–1106.Google Scholar | DOI
[56] , , Finiteness properties of the category of mod representations of , Forum Math. Sigma 9 (2021), e80, 39 pp.Google Scholar | DOI
[57] , , , Locally analytic representations of via semistable models of , J. Inst. Math. Jussieu 18 (2019), 125–187.Google Scholar | DOI
[58] , Essential properties of pro-objects in Grothendieck categories , Cah. Topol. Géom. Différ. Catég. 20 (1979), 3–57.Google Scholar
[59] , On the locus of -dimensional crystalline representations with a given reduction modulo , Algebra & Number Theory 14 (2020), 643–700.Google Scholar | DOI
[60] , -adic Hodge theory for rigid-analytic varieties, Forum Math. Pi 1 (2013), 77 pp.Google Scholar | DOI
[61] , On the -adic cohomology of the Lubin-Tate tower, Ann. ENS 51 (2018), 811–863.Google Scholar
[62] , Étale cohomology of diamonds, [math.AG].Google Scholar | arXiv
[63] , , Moduli of -divisible groups, Cambridge J. Math. 1 (2013), 145–237.Google Scholar | DOI
[64] , Nonarchimedean Functional Analysis, Springer Monographs in Mathematics, Springer-Verlag 2002.Google Scholar | DOI
[65] , , Algebras of -adic distributions and admissible representations, Invent. math. 153 (2003), 145–196.Google Scholar | DOI
[66] , Sur la présentation des représentations supersingulières de , J. Reine Angew. Math. 704 (2015), 187–208.Google Scholar | DOI
[67] , The category of finitely presented smooth mod representations of , Doc. Math. 25 (2020), 143–157.Google Scholar | DOI
[68] , Geometrically connected components of of Lubin-Tate deformation spaces with level structures, Pure and Applied Mathematics Q. 4 (2008), 1215–1232 Google Scholar | DOI
[69] , -adic étale cohomology and crystalline cohomology in the semi-stable reduction case, Invent. math. 137 (1999), 233–411.Google Scholar | DOI
[70] , Le foncteur de Colmez pour , In: Arithmetic geometry and automorphic forms, Adv. Lect. Math. (ALM), vol. 19, Int. Press, 2011, pp. 531–557.Google Scholar
[71] , A note on presentations of supersingular representations of , Manuscripta Math. 165 (2021), 583–596.Google Scholar | DOI
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