Cohomologie cohérente et représentations Galoisiennes

Springer Science and Business Media LLC - Tập 40 Số 1 - Trang 167-202 - 2016
Vincent Pilloni1, Benoît Stroh2
1CNRS-UMPA, Lyon, France
2CNRS-Université Paris 13, Epinay-Villetaneuse, France

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Tài liệu tham khảo

Andreatta, F., Iovita, A., Pilloni, V.: $$p$$ p -adic families of Siegel modular cuspforms, à paraître à. Ann. Math

Arthur, J.: The Endoscopic Classification of Representations: Orthogonal and Symplectic Groups, vol. 61. Colloquium Publications of the American Mathematical Society, Providence

Berthelot, P.: Cohomologie rigide et cohomologie rigide à support propre, prépublication (1996). Disponible sur perso.univ-rennes1.fr/pierre.berthelot/

Bosch, S., Guntzer, U., Remmert, R.: Non-Archimedean Analysis. Grundlehren der Mathematischen Wissenschaften, vol. 261. Springer, Berlin (1984)

Boxer, G.: Torsion in the Coherent Cohomology of Shimura Varieties and Galois Representations (2015). Prépublication

Deligne, P.: Travaux de Shimura. In: Séminaire Bourbaki vol. 1970/71 Exposés 382–399. Lecture Notes in Mathematics, vol. 244. Springer, Berlin, Heidelberg (1972)

Deligne, P., Milne, J.: Tannakian categories. In: Hodge Cycles, Motives, and Shimura Varieties. Lecture Notes in Mathematics, vol. 900, pp. 101–228. Springer, Berlin, Heidelberg (1982)

Fargues, L.: La filtration de Harder–Narasimhan des schémas en groupes finis et plats. J. Reine Angew. Math. 645, 1–39 (2010)

Faltings, G., Chai, C.-L.: Degeneration of abelian varieties. In: Ergebnisse der Mathematik und ihrer Grenzbgebiete (3), vol. 22. Springer, Berlin (1990)

Goldring, W.: Galois representations associated to holomorphic limits of discrete series. I. Unitary groups. Compos. Math. 150, 191–228 (2014)

Goldring, W., Koskivirta, J.S.: Strata Hasse invariants, Hecke algebras and Galois representations (2015). Prépublication

Goldring, W., Nicole, M.H.: The $$\mu $$ μ -ordinary Hasse invariant of unitary Shimura varieties, à paraître à Crelle

Harris, M.: Automorphic forms of $$\bar{\partial }$$ ∂ ¯ -cohomology type as coherent cohomology classes. J. Differ. Geom. 32, 1–63 (1990)

Harris, M.: Functorial properties of toroidal compactifications of locally symmetric varieties. Proc. Lond. Math. Soc. (3) 59, 1–22 (1989)

Harris, M.: Automorphic forms and the cohomology of vector bundles on Shimura varieties. In: Automorphic Forms, Shimura Varieties and $$L$$ L -Functions, vol. 2, pp. 41–91. Academic press, New York

Kaletha, T., Minguez, A., Shin, S.W., White, P.J.: Endoscopic Classification of Representations: Inner Forms of Unitary Groups (2014). Prépublication

Kisin, M.: Integral models for Shimura varieties of abelian type. J. Am. Math. Soc. 23(4), 967–1012 (2010)

Lan, K.W.: Arithmetic compactifications of PEL-type Shimura varieties. In: London Mathematical Society Monographs, vol. 36. Princeton University Press, Princeton (2013)

Lan, K.W., Stroh, B.: Relative cohomology of cuspidal forms on PEL type Shimura varieties. Algebra Number Theory 8, 1787–1799 (2014)

Lan, K.W., Suh, J.: Vanishing theorems for torsion automorphic sheaves on general PEL-type Shimura varieties. Adv. Math. 242, 228–286 (2013)

Li, J.S., Schwermer, J.: On the Eisenstein cohomology of arithmetic groups. Duke Math. J. 123(1), 141–169 (2004)

Laumon, G.: Fonctions zétas des variétés de Siegel de dimension trois. Formes automorphes. II. Le cas du groupe $$\rm GSp(4)$$ GSp ( 4 ) , Astérisque no. 302, pp. 1–66 (2005)

Madapusi Pera, K.: Toroidal compactifications of integral models of Shimura varieties of Hodge type (2014). Prépublication

Milne, J.: Canonical models of (mixed) Shimura varieties and automorphic vector bundles. In: Automorphic Forms, Shimura Varieties and $$L$$ L -Functions, vol. 1, pp. 283–415. Academic Press, New York

Mok, C.P.: Endoscopic classification of representations of quasi-split unitary groups. à paraître dans Memoirs of the American Mathematical Society

Newton, J., Thorne, J.: Torsion Galois representations over CM fields and Hecke algebras in the derived category (2015). Prépublication

Scholze, P.: Perfectoid spaces. Publ. math. de l’IHES 116(1), 245–313 (2012)

Scholze, P.: p-Adic Hodge theory for rigid analytic varieties. Forum of Mathematics, Pi 1, e1 (2013)

Scholze, P.: On torsion in the cohomology of locally symmetric varieties (2015). Prépublication

Scholze, P., Weinstein, J.: Moduli of $$p$$ p -divisible groups. à paraître dans Camb. J. Math

Taylor, R.: On the $$\ell $$ ℓ -adic cohomology of Siegel threefolds. Inventiones 114(2), 289–310 (1993)

Stroh, B.: Compactification de variétés de Siegel aux places de mauvaise réduction. Bull. Soc. Math. Fr. 138(2), 259–315 (2010)

Weissauer, R.: Four dimensional Galois representations. In: Formes Automorphes. II. Le cas du groupe GSp(4), Astérisque no. 302, pp. 67–150 (2005)

Xu, B.: Endoscopic classification of representations of GSp $$(2n)$$ ( 2 n ) . Thèse de l’Université de Toronto (2014)