@incollection{AST_2013__352__509_0, author = {Fontaine, Jean-Marc}, title = {Perfecto\"\i des, presque puret\'e et monodromie-poids [d'apr\`es Peter Scholze]}, booktitle = {S\'eminaire Bourbaki volume 2011/2012 expos\'es 1043-1058}, author = {Collectif}, series = {Ast\'erisque}, note = {talk:1057}, publisher = {Soci\'et\'e math\'ematique de France}, number = {352}, year = {2013}, zbl = {1325.14033}, mrnumber = {3087355}, language = {fr}, url = {archive.numdam.org/item/AST_2013__352__509_0/} }
Fontaine, Jean-Marc. Perfectoïdes, presque pureté et monodromie-poids [d'après Peter Scholze], dans Séminaire Bourbaki volume 2011/2012 exposés 1043-1058, Astérisque, no. 352 (2013), Exposé no. 1057, 26 p. http://archive.numdam.org/item/AST_2013__352__509_0/
[1] Éléments de géométrie rigide. Volume I, Progress in Math., vol. 286, Birkhäuser, 2010. | MR 2815110
-[2] Spectral theory and analytic geometry over non-Archimedean fields, Mathematical Surveys and Monographs, vol. 33, Amer. Math. Soc., 1990. | MR 1070709 | Zbl 0715.14013
-[3] Non-Archimedean analysis, Grundl. Math. Wiss., vol. 261, Springer, 1984. | MR 746961 | Zbl 0539.14017
, & -[4] Conjecture de monodromie-poids pour quelques variétés de Shimura unitaires, Compos. Math. 146 (2010), n° 2, p. 367-403. | Article | MR 2601631 | Zbl 1206.14045
-[5] Local-global compatibility and the action of monodromy on nearby cycles, Duke Math. J. 161 (2012), n° 12, p. 2311-2413. | Article | MR 2972460 | Zbl 06095601
-[6] La conjecture de Weil. II, Publ. Math. I.H.É.S. (1980), n° 52, p. 137-252. | Article | EuDML 103970 | Numdam | MR 601520 | Zbl 0456.14014
-[7] -adic Hodge theory, J. Amer. Math. Soc. 1 (1988), n° 1, p. 255-299. | MR 924705 | Zbl 0764.14012
-[8] Almost étale extensions, Astérisque 279 (2002), p. 185-270. | Numdam | MR 1922831 | Zbl 1027.14011
,[9] Vector bundles and -adic Galois representations, in Fifth International Congress of Chinese Mathematicians. Part 1, 2, AMS/IP Stud. Adv. Math., 51, pt. 1, vol. 2, Amer. Math. Soc., 2012, p. 77-113. | MR 2908062 | Zbl 1283.14011
& -[10] Courbes et fibrés vectoriels en théorie de Hodge -adique, prépublication .
& ,[11] Extensions algébriques et corps des normes des extensions APF des corps locaux, C. R. Acad. Sci. Paris Sér. A-B 288 (1979), n° 8, p. A441-A444. | MR 527692 | Zbl 0403.12018
& -[12] Introduction to toric varieties, Annals of Math. Studies, vol. 131, Princeton Univ. Press, 1993. | MR 1234037 | Zbl 0813.14039
-[13] Almost ring theory, Lecture Notes in Math., vol. 1800, Springer, 2003. | MR 2004652 | Zbl 1045.13002
& -[14] A generalization of formal schemes and rigid analytic varieties, Math. Z. 217 (1994), n° 4, p. 513-551. | Article | EuDML 174705 | MR 1306024 | Zbl 0814.14024
-[15] Étale cohomology of rigid analytic varieties and adic spaces, Aspects of Mathematics, E30, Friedr. Vieweg & Sohn, 1996. | MR 1734903 | Zbl 0868.14010
,[16] A finiteness result for direct image sheaves on the étale site of rigid analytic varieties, J. Algebraic Geom. 7 (1998), n° 2, p. 359-403. | MR 1620118 | Zbl 1013.14007
,[17] Complexe cotangent et déformations. I, Lecture Notes in Math., vol. 239, Springer, 1971. | MR 491680 | Zbl 0224.13014
-[18] Autour du théorème de monodromie locale, Astérisque 223 (1994), p. 9-57. | Numdam | MR 1293970 | Zbl 0837.14013
,[19] Weight-monodromy conjecture for certain threefolds in mixed characteristic, Int. Math. Res. Not. 2004 (2004), n° 2, p. 69-87. | Article | MR 2040324 | Zbl 1090.14004
-[20] Weight-monodromy conjecture for -adically uniformized varieties, Invent. Math. 159 (2005), n° 3, p. 607-656. | Article | MR 2125735 | Zbl 1154.14014
,[21] Weight-monodromy conjecture over equal characteristic local fields, Amer. J. Math. 127 (2005), n° 3, p. 647-658. | Article | MR 2141647 | Zbl 1082.14021
,[22] Smoothness, semi-stability and alterations, Publ. Math. I.H.É.S. (1996), n° 83, p. 51-93. | Article | EuDML 104112 | Numdam | MR 1423020 | Zbl 0916.14005
-[23] Relative -adic Hodge theory, I : Foundations, prépublication arXiv:1301.0792. | MR 3379653 | Zbl 1370.14025
& -[24] Approximation des corps valués complets de caractéristique par ceux de caractéristique , in Colloque d'algèbre supérieure, tenu à Bruxelles du 19 au 22 décembre 1956, Centre Belge de Recherches Mathématiques, Établissements Ceuterick, Louvain, 1957, p. 129-206. | MR 106218 | Zbl 0085.26501
-[25] Über die lokale Zetafunktion von Shimuravarietäten. Monodromiefiltration und verschwindende Zyklen in ungleicher Charakteristik, Invent. Math. 68 (1982), n° 1, p. 21-101. | Article | EuDML 142926 | MR 666636 | Zbl 0498.14010
& -[26] Modules de Hodge polarisables, Publ. Res. Inst. Math. Sci. 24 (1988), n° 6, p. 849-995. | Article | MR 1000123 | Zbl 0691.14007
-[27] Perfectoïd spaces, Publ. Math. IHÉS 116 (2012), p. 245-313. | Article | MR 3090258 | Zbl 1263.14022
-[28] -adic Hodge theory for rigid-analytic varieties, prépublication . | Article | Zbl 1297.14023
,[29] Galois representations arising from some compact Shimura varieties, Ann. of Math. 173 (2011), n° 3, p. 1645-1741. | Article | MR 2800722 | Zbl 1269.11053
-[30] Le corps des normes de certaines extensions infinies de corps locaux ; applications, Ann. Sci. École Norm. Sup. 16 (1983), n° 1, p. 59-89. | Article | EuDML 82112 | Numdam | MR 719763 | Zbl 0516.12015
-