𝒟-modules arithmétiques sur la variété de drapeaux

References

[1] K. Ardakov and S. Wadsley, On irreducible representations of compact p-adic analytic groups, Ann. of Math. (2) 178 (2013), no. 2, 453–557. 10.4007/annals.2013.178.2.3Search in Google Scholar

[2] A. Beilinson, Localization of representations of reductive Lie algebras, Proceedings of the international congress of mathematicians. Vol. 1 (Warsaw 1983), PWN-Polish Scientific, Warsaw (1984), 699–710. Search in Google Scholar

[3] A. Beilinson and J. Bernstein, Localisation de 𝔤-modules, C. R. Acad. Sci. Paris Sér. I 292 (1981), 15–18. Search in Google Scholar

[4] P. Berthelot, Cohomologie rigide et théorie des 𝒟-modules, p-adic analysis (Trento 1989), Lecture Notes in Math. 1454, Springer, Berlin (1990), 80–124. 10.1007/BFb0091135Search in Google Scholar

[5] P. Berthelot, Cohérence différentielle des algèbres de fonctions surconvergentes, C. R. Acad. Sci. Paris Sér. I 323 (1996), no. 1, 35–40. Search in Google Scholar

[6] P. Berthelot, 𝒟-modules arithmétiques I. Opérateurs différentiels de niveau fini, Ann. Sci. Éc. Norm. Supér. (4) 29 (1996), 185–272. 10.24033/asens.1739Search in Google Scholar

[7] P. Berthelot, 𝒟-modules arithmétiques II. Descente par Frobenius, Bull. Soc. Math. France 81 (2000), 1–135. 10.24033/msmf.394Search in Google Scholar

[8] C. Breuil, The emerging p-adic Langlands programme, Proceedings of the international congress of mathematicians. Volume II: Invited lectures (Hyderabad 2010), World Scientific, Hackensack (2011), 203–230. 10.1142/9789814324359_0047Search in Google Scholar

[9] A. J. de Jong, Crystalline Dieudonné module theory via formal and rigid geometry, Publ. Math. Inst. Hautes Études Sci. 82 (1995), 5–96. 10.1007/BF02698637Search in Google Scholar

[10] M. Demazure and P. Gabriel, Groupes algébriques. Tome I: Géométrie algébrique, généralités, groupes commutatifs, Masson & Cie, Paris 1970. Search in Google Scholar

[11] M. Emerton, Locally analytic vectors in representations of locally p-adic analytic groups, Mem. Amer. Math. Soc., to appear. 10.1090/memo/1175Search in Google Scholar

[12] A. Grothendieck, Éléments de géométrie algébrique. I. Le langage des schémas, Publ. Math. Inst. Hautes Études Sci. 4 (1960), 1–228. 10.1007/BF02684778Search in Google Scholar

[13] A. Grothendieck, Éléments de géométrie algébrique. IV. Étude locale des schémas et des morphismes de schémas IV, Publ. Math. Inst. Hautes Études Sci. 32 (1967), 1–361. 10.1007/BF02732123Search in Google Scholar

[14] G. Hochschild, Cohomology of restricted Lie algebras, Amer. J. Math. 76 (1954), 555–580. 10.2307/2372701Search in Google Scholar

[15] C. Huyghe, 𝒟†-affinité de l’espace projectif, avec un appendice de P. Berthelot, Compos. Math. 108 (1997), no. 3, 277–318. 10.1023/A:1000124232370Search in Google Scholar

[16] C. Huyghe and T. Schmidt, Algèbres de distributions et 𝒟-modules arithmétiques, preprint (2015). 10.4171/RSMUP/139-1Search in Google Scholar

[17] J. C. Jantzen, Restricted Lie algebra cohomology, Algebraic groups (Utrecht 1986), Lecture Notes in Math. 1271, Springer, Berlin (1987), 91–108. 10.1007/BFb0079234Search in Google Scholar

[18] C. Noot-Huyghe, Un théorème de Beilinson–Bernstein pour les D-modules arithmétiques, Bull. Soc. Math. France 137 (2009), no. 2, 159–183. 10.24033/bsmf.2572Search in Google Scholar

[19] D. Patel, T. Schmidt and M. Strauch, Integral models of P1 and analytic distribution algebras for GL2, Münster J. Math. 7 (2014), 241–271. Search in Google Scholar

[20] D. Patel, T. Schmidt and M. Strauch, Locally analytic representations of GL⁢(2,L) via semistable models of P1, J. Inst. Math. Jussieu (2017), 10.1017/S1474748016000396. 10.1017/S1474748016000396Search in Google Scholar

[21] W. Schmid, Geometric methods in representation theory, Poisson geometry, deformation quantisation and group representations, London Math. Soc. Lecture Note Ser. 323, Cambridge University, Cambridge (2005), 273–323. Search in Google Scholar

[22] P. Schneider and J. Teitelbaum, Algebras of p-adic distributions and admissible representations, Invent. Math. 153 (2003), 145–196. 10.1007/s00222-002-0284-1Search in Google Scholar

[23] S. A. Sikko and S. O. Smalø, Coherent rings and homologically finite subcategories, Math. Scand. 77 (1995), 175–183. 10.7146/math.scand.a-12558Search in Google Scholar