Geodesic
Shimura Varieties and the Selberg Trace Formula
Canadian journal of mathematics, Tome 29 (1977) no. 6, pp. 1292-1299

Voir la notice de l'article provenant de la source Cambridge University Press

This paper is a report on work in progress rather than a description of theorems which have attained their final form. The results I shall describe are part of an attempt to continue to higher dimensions the study of the relation between the Hasse-Weil zeta-functions of Shimura varieties and the Euler products associated to automorphic forms, which was initiated by Eichler, and extensively developed by Shimura for the varieties of dimension one bearing his name. The method used has its origins in an idea of Sato, which was exploited by Ihara for the Shimura varieties associated to GL(2). 
Langlands, R. P. Shimura Varieties and the Selberg Trace Formula. Canadian journal of mathematics, Tome 29 (1977) no. 6, pp. 1292-1299. doi: 10.4153/CJM-1977-129-2
@article{10_4153_CJM_1977_129_2,
     author = {Langlands, R. P.},
     title = {Shimura {Varieties} and the {Selberg} {Trace} {Formula}},
     journal = {Canadian journal of mathematics},
     pages = {1292--1299},
     year = {1977},
     volume = {29},
     number = {6},
     doi = {10.4153/CJM-1977-129-2},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1977-129-2/}
}
TY  - JOUR
AU  - Langlands, R. P.
TI  - Shimura Varieties and the Selberg Trace Formula
JO  - Canadian journal of mathematics
PY  - 1977
SP  - 1292
EP  - 1299
VL  - 29
IS  - 6
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1977-129-2/
DO  - 10.4153/CJM-1977-129-2
ID  - 10_4153_CJM_1977_129_2
ER  - 
%0 Journal Article
%A Langlands, R. P.
%T Shimura Varieties and the Selberg Trace Formula
%J Canadian journal of mathematics
%D 1977
%P 1292-1299
%V 29
%N 6
%U http://geodesic.mathdoc.fr/articles/10.4153/CJM-1977-129-2/
%R 10.4153/CJM-1977-129-2
%F 10_4153_CJM_1977_129_2

[1] 1. Deligne, P., Variétés abéliennes ordinaires sur un corps fini, Inv. Math. 8 (1969), 238–243. Google Scholar

[2] 2. Deligne, P. Travaux de Shimura, Séminaire Bourbaki (1970/71), 123–165. Google Scholar

[3] 3. Ihara, Y., Hecke polynomials as congruence Ç junctions in elliptic modular case, Ann. of Math. 85 (1967), 267–295. Google Scholar

[4] 4. Ihara, Y. On congruence monodromy problems, University of Tokyo (1969). Google Scholar

[5] 5. Langlands, R. P., Some contemporary problems with origins in the Jugendtraum, in Mathematical developments arising from Hilbert problems, Amer. Math. Soc. (1976), 401–418. Google Scholar

Cité par Sources :