Cohomologie, stabilisation et changement de base
Cohomologie, stabilisation et changement de base, Astérisque, no. 257 (1999), pp. i-116.
@incollection{AST_1999__257__R1_0,
     author = {Labesse, Jean-Pierre},
     title = {Cohomologie, stabilisation et changement de base},
     booktitle = {Cohomologie, stabilisation et changement de base},
     series = {Ast\'erisque},
     pages = {i--116},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {257},
     year = {1999},
     language = {fr},
     url = {http://www.numdam.org/item/AST_1999__257__R1_0/}
}
TY  - CHAP
AU  - Labesse, Jean-Pierre
TI  - Cohomologie, stabilisation et changement de base
BT  - Cohomologie, stabilisation et changement de base
AU  - Labesse, Jean-Pierre
T3  - Astérisque
PY  - 1999
SP  - i
EP  - 116
IS  - 257
PB  - Société mathématique de France
UR  - http://www.numdam.org/item/AST_1999__257__R1_0/
LA  - fr
ID  - AST_1999__257__R1_0
ER  - 
%0 Book Section
%A Labesse, Jean-Pierre
%T Cohomologie, stabilisation et changement de base
%B Cohomologie, stabilisation et changement de base
%A Labesse, Jean-Pierre
%S Astérisque
%D 1999
%P i-116
%N 257
%I Société mathématique de France
%U http://www.numdam.org/item/AST_1999__257__R1_0/
%G fr
%F AST_1999__257__R1_0
Labesse, Jean-Pierre. Cohomologie, stabilisation et changement de base, dans Cohomologie, stabilisation et changement de base, Astérisque, no. 257 (1999), pp. i-116. http://www.numdam.org/item/AST_1999__257__R1_0/

[Ar1] J. Arthur, The local behaviour of weighted orbital integrals, Duke Math. J. 56 (1988), p. 223-293. | DOI | MR | Zbl

[Ar2] J. Arthur, The invariant trace formula II, J. Am. Math. Soc. 1 (1988), p. 501-554. | DOI | MR | Zbl

[Ar3] J. Arthur, On Local Character Relations, Selecta Mathematica, New Series 2 (1996), p. 501-579. | DOI | MR | Zbl

[AC] J. Arthur, L. Clozel, Simple algebras, base change, and the advanced theory of the trace formula, Annals of Math. Studies 120 Princeton Univ. Press (1989). | MR | Zbl

[BLS] A. Borel, J.-P. Labesse, J. Schwermer, On the cuspidal cohomology of S-arithmetic subgroups of reductive groups over number fields, Compositio Math. 102 (1996), p. 1-40. | EuDML | Numdam | MR | Zbl

[BW] A. Borel, N. Wallach, Continuous Cohomology, Discrete Subgroups, and Representations of Reductive Groups, Annals of Math. Studies 94 Princeton Univ. Press (1980). | MR | Zbl

[Bo1] M. V. Borovoi, The Algebraic Fundamental Group and Abelian Galois Cohomology of Reductive Algebraic Groups, Max-Planck-Institut fur Mathematik Bonn. Preprint 89-90 (1989).

[Bo2] M. V. Borovoi, Non-abelian hypercohomology of a group with coefficients in a crossed module and Galois cohomology, Max-Planck-Institut fur Mathematik Bonn. Preprint (March 1992).

[Bo3] M. V. Borovoi, Abelian Galois cohomology of Reductive groups, Mem. Amer. Math. Soc. 132 (1998), No. 626. | MR | Zbl

[Br1] L. Breen, Théorie de Schreier Supérieure, Ann. Sci. E.N.S., 4e série 25 (1992), p. 465-514. | EuDML | Numdam | MR | Zbl

[Br2] L. Breen, Ensembles croisés et algèbre simpliciale, ce volume (1999), p. 135-161.

[Cas1] W. Casselman, Characters and Jacquet Modules, Math. Annalen 230 (1977), p. 101-105. | DOI | EuDML | MR | Zbl

[Cas2] W. Casselman, The unramified principal series of 𝔭-adic groups I. The spherical function, Compositio Math. 40 (1980), p. 387-406. | EuDML | Numdam | MR | Zbl

[Ch] V. I. Chernousov, The Hasse principle for groups of type E 8 , Soviet Math. Doklady 39 (1989), No. 3 p. 592-596. | MR | Zbl

[Clo1] L. Clozel, Changement de base pour les représentations tempérées des groupes réductifs réels, Ann. Sci. E.N.S. 4e série 15 (1982), p. 45-115. | EuDML | Numdam | MR | Zbl

[Clo2] L. Clozel, The fundamental lemma for stable base change, Duke Math. J. 61 (1990), p. 255-302. | DOI | MR | Zbl

[Clo3] L. Clozel, Représentations galoisiennes associées aux représentations auto-morphes autoduales de GL(n), Publ. Math. IHES 73 (1991), p. 97-145. | DOI | EuDML | Numdam | MR | Zbl

[Clo4] L. Clozel, On the cohomology of Kottwitz's arithmetic varieties, Duke Math. J. 72 (1993), p. 757-795. | DOI | MR | Zbl

[CD1] L. Clozel, P. Delorme, Le théorème de Paley-Wiener invariant pour les groupes de Lie réductifs I, Invent. Math. 77 (1984), p. 427-453. | DOI | EuDML | MR | Zbl

[CD2] L. Clozel, P. Delorme, Le théorème de Paley-Wiener invariant pour les groupes de Lie réductifs II, Ann. Sci. E.N.S. 4e série 23 (1990), p. 193-228. | EuDML | Numdam | MR | Zbl

[CL] L. Clozel, J.-P. Labesse, Changement de base pour les représentations cohomologiques de certains groupes unitaires, ce volume (1999), p. 119-133.

[Co] D. Conduché, Modules croisés généralisés de longueur 2, J. Pure and Appl. Algebra 34 (1984), p. 155-178. | DOI | MR | Zbl

[D] P. Deligne, Variétés de Shimura : Interprétation modulaire et techniques de construction de modèles canoniques, in Automorphic forms, representations and L-funtions, Proc. of Symposia in Pure Math. 33 Amer. Math. Soc. (1979) Part 2, p. 247-290. | DOI | MR | Zbl

[Delo] P. Delorme, Théorème de Paley-Wiener invariant tordu pour le changement de base /, Compositio. Math. 80 (1991), p. 197-228. | EuDML | Numdam | MR | Zbl

[DKV] P. Deligne, D. Kazdan, M.-F. Vigneras, Représentations des algèbres centrales simples p-adiques, in Représentations des groupes réductifs sur un corps local, Hermann (1984), p. 33-117. | MR | Zbl

[E] T. Enright, Relative Lie algebra cohomology and unitary representations of complex Lie groups, Duke Math. J. 46 (1979), p. 513-525. | DOI | MR | Zbl

[Har1] G. Harder, Über die Galoiskohomologie halbeinfacher Matrizengruppen I, Math. Zeit. 90 (1965), p. 404-428. | DOI | EuDML | MR | Zbl

[Har2] G. Harder, Über die Galoiskohomologie halbeinfacher Matrizengruppen II, Math. Zeit. 92 (1966), p. 396-415. | DOI | EuDML | MR | Zbl

[J] J. F. Johnson, Stable base change / of certain derived functor modules, Math. Annalen 287 (1990), p. 467-493. | DOI | EuDML | MR | Zbl

[JL] H. Jacquet, R. P. Langlands, Automorphic forms on GL(2), Lecture Notes in Math. 114 Springer Verlag (1970). | MR | Zbl

[Kne1] M. Kneser, Galoiskohomologie halbeinfacher algebraischer Gruppen über 𝔭-adischen Körpern I, Math. Zeit. 88 (1965), p. 40-47. | DOI | EuDML | MR | Zbl

[Kne2] M. Kneser, Galoiskohomologie halbeinfacher algebraischer Gruppen über 𝔭-adischen Körpern II, Math. Zeit. 89 (1965), p. 250-272. | DOI | EuDML | MR | Zbl

[Kne3] M. Kneser, Hasse Principle for H 1 of Simply Connected Groups, in Algebraic Groups and Discontinuous Subgroups, Proc. Sympos in Pure math. 9 Amer. Math. Soc. (1966), p. 159-163. | DOI | MR | Zbl

[Ko1] R. Kottwitz, Rational conjugacy classes in reductive groups, Duke Math. J. 49 (1982), p. 785-806. | DOI | MR | Zbl

[Ko2] R. Kottwitz, Sign changes in harmonic analysis on reductive groups, Trans. Amer. Math. Soc. 278 (1983), p. 289-297. | DOI | MR | Zbl

[Ko3] R. Kottwitz, Base change for units of Hecke algebras, Compositio Math. 60 (1986), p. 237-250. | EuDML | Numdam | MR

[Ko4] R. Kottwitz, Stable Trace Formula : Cuspidal Tempered Terms, Duke Math. J. 51 (1984), p. 611-650. | DOI | MR | Zbl

[Ko5] R. Kottwitz, Stable Trace Formula : Elliptic Singular Terms, Math. Ann. 275 (1986), p. 365-399. | DOI | EuDML | MR | Zbl

[Ko6] R. Kottwitz, Tamagawa numbers, Annals of Math. 127 (1988), p. 629-646. | DOI | MR | Zbl

[Ko7] R. Kottwitz, On the λ-adic representations associated to some simple Shimura varieties, Invent. Math. 108 (1992), p. 653-665. | DOI | EuDML | MR | Zbl

[KS] R. Kottwitz, D. Shelstad, Foundations of Twisted Endoscopy, Astérisque 255 Société Mathématique de France (1999). | Numdam | MR | Zbl

[Lab1] J.-P. Labesse, Le lemme fondamental pour le changement de base stable, Duke Math. J. 61 (1990), p. 519-530. | DOI | MR | Zbl

[Lab2] J.-P. Labesse, Pseudo-coefficients très cuspidaux et K-théorie, Math. Ann. 291 (1991), p. 607-616. | DOI | EuDML | MR | Zbl

[Lab3] J.-P. Labesse, Noninvariant base change identities, Mémoires de la SMF 61 (1995). | EuDML | Numdam | MR | Zbl

[LL] J.-P. Labesse, R. P. Langlands, L-indistinguishability for SL 2 , Can. J. Math. 31 (1979), p. 726-785. | DOI | MR | Zbl

[Lan1] R. P. Langlands, Base Change for GL(2), Annals of Math. Studies 96 Princeton Univ. Press (1980). | MR | Zbl

[Lan2] R. P. Langlands, Les débuts d'une formule des traces stable, Publ. Math. Univ. Paris VII 13 (1983). | MR | Zbl

[Mi1] J. S. Milne, Arithmetic Duality Theorems, Perspective in Math. 1 Academic Press (1986). | MR | Zbl

[Mi2] J. S. Milne, Points on a Shimura Variety, in The Zeta function of Picard Modular Surfaces, Les publications CRM, Montréal (1992), p. 151-253. | Zbl

[Mü] W. Müller, The trace class conjecture in the theory of automorphic forms, Annals of Math. 130 (1989), p. 473-529. | DOI | MR | Zbl

[Ny] L. Nyssen, Hypercohomologie des complexes de tores et paramétrisation de Langlands, J. of Algebra 172 (1995), p. 354-378. | DOI | MR | Zbl

[Ono] T. Ono, On Tamagawa Numbers, in Algebraic Groups and Discontinuous Subgroups, Proc. Sympos in Pure math. 9 Amer. Math. Soc. (1966), p. 122-132. | MR | Zbl

[Rog] J. Rogawski, Automorphic Representations of Unitary Groups in Three Variables, Annals of Math. Studies 123 Princeton Univ. Press (1990). | MR | Zbl

[Sa] S. Salamanca Riba, On the unitary dual of some classical Lie groups, Compositio Math. 68 (1988), p. 251-303. | EuDML | Numdam | MR | Zbl

[She1] D. Shelstad, Characters and inner forms of a quasi-split group over , Compositio Math. 39 (1979), p. 11-45. | EuDML | Numdam | MR | Zbl

[She2] D. Shelstad, Base change and a matching theorem for real groups, Non Commutative Harmonic Analysis and Lie Groups, Springer Lect. Notes 880 (1981), p. 425-482. | DOI | MR | Zbl

[She3] D. Shelstad, L-Indistinguishability for Real Groups, Math. Annalen 259 (1982), p. 385-430. | DOI | EuDML | MR | Zbl

[Spr] T. A. Springer, Non Abelian H 2 in Galois Cohomology, in Algebraic Groups and Discontinuous Subgroups, Proc. Sympos in Pure math. 9 Amer. Math. Soc. (1966), p. 164-182. | MR

[VZ] D. Vogan, G. Zuckerman, Unitary representations with non zero cohomology, Compositio Math. 53 (1984), p. 51-90. | EuDML | Numdam | MR | Zbl

[Walds] J.-L. Waldspurger, Le lemme fondamental implique le transfert, Compositio Math. 105 (1997), p. 153-236. | DOI | MR | Zbl