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On the λ-adic representations associated to some simple Shimura varieties

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References

  • [B-W] Borel, A. and Wallach, N.: Continuous Cohomology, Discrete Subgroups, and Representations of Reductive Groups. Ann. of Math. Studies 94. Princeton University Press, 1980

  • [C] Clozel, L.: The fundamental lemma for stable base change. Duke Math. J.61, 255–302 (1990)

    Google Scholar 

  • [C-D] Clozel, L. and Delorme, P.: Pseudo-coefficients et cohomologie des groupes de Lie réductifs réels. C.R. Acad. Sci. Paris Sér. I. Math.300, 385–387 (1985)

    Google Scholar 

  • [D1] Deligne, P.: Variétés de Shimura, in Automorphic Forms, Representations andL-functions. Proc. Sympos. Pure Math.33, part 2, 1979, pp. 247–290

    Google Scholar 

  • [D2] Deligne, P.: La conjecture de Weil. II, Publ. Math. IHES52, 313–428 (1980)

    Google Scholar 

  • [K1] Kottwitz, R.: Sign changes in harmonic analysis on reductive groups. Trans. A.M.S.278, 289–297 (1983)

    Google Scholar 

  • [K2] Kottwitz, R.: Stable trace formula: cuspidal tempered terms. Duke, Math. J.51, 611–650 (1984)

    Google Scholar 

  • [K3] Kottwitz, R.: Shimura varieties and twisted orbital integrals. Math. Ann.269, 287–300 (1984)

    Google Scholar 

  • [K4] Kottwitz, R.: Stable trace formula: elliptic singular terms. Math. Ann.275, 365–399 (1986)

    Google Scholar 

  • [K5] Kottwitz, R.: Shimura varieties and λ-adic representations. In: Automorphic Forms, Shimura Varieties andL-functions, part 1. Perspectives in Mathematics 10. Academic Press, 1990, pp. 161–209

  • [K6] Kottwitz, R.: Points on some Shimura varieties over finite fields, to appear in J.A.M.S.

  • [La] Labesse, J.-P.: Fonctions élémentaires et lemme fondamental pour le changement de base stable. Duke Math. J.61, 519–530 (1990)

    Google Scholar 

  • [L1] Langlands, R.P.: Shimura varieties and the Selberg trace formula. Can. J. Math.29, 1292–1299 (1977)

    Google Scholar 

  • [L2] Langlands, R.P.: Automorphic representations, Shimura varieties, and motives. In: Automorphic Forms, Representations, andL-functions. Proc. Sympos. Pure Math.33, part 2, 1979, pp. 205–246

  • [L3] Langlands, R.P.: On the zeta-functions of some simple Shimura varieties. Can. J. Math.31, 1121–1216 (1979)

    Google Scholar 

  • [L4] Langlands, R.P.: Les débuts d'une formule des traces stable. Publ. Math. Univ. Paris VII, vol. 13, Paris, 1983

  • [R-Z] Rapoport, M. and Zink, T.: Über die lokale Zetafunktion von Shimuravarietäten. Invent. math.68, 21–101 (1982)

    Google Scholar 

  • [S] Shelstad, D.: Orbital integrals, endoscopic groups andL-indistinguishability for real groups. In: Journées Automorphes. Publ. Math. Univ. Paris VII, vol. 15, Paris, 1983

  • [Sh] Shimura, G.: Moduli of abelian varieties and number theory. In: Algebraic Groups and Discontinuous Subgroups. Proc. Sympos. Pure Math.9, 312–332 (1966)

    Google Scholar 

  • [V-Z] Vogan D. and Zuckerman, G.: Unitary representations with non-zero cohomology. Compositio Math.53, 51–90 (1984)

    Google Scholar 

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  1. Department of Mathematics, University of Chicago, 60637, Chicago, IL, USA

    Robert E. Kottwitz

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  1. Robert E. Kottwitz
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Oblatum 11-VII-1991

Partially supported by NSF Grant DMS-8601121

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Kottwitz, R.E. On the λ-adic representations associated to some simple Shimura varieties. Invent Math 108, 653–665 (1992). https://doi.org/10.1007/BF02100620

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