@article{TSG_2002-2003__21__75_0, author = {Bergeron, Nicolas}, title = {Propri\'et\'es de Lefschetz dans la cohomologie de certaines vari\'et\'es arithm\'etiques : le cas des surfaces modulaires de Hilbert}, journal = {S\'eminaire de th\'eorie spectrale et g\'eom\'etrie}, pages = {75--101}, publisher = {Institut Fourier}, volume = {21}, year = {2002-2003}, zbl = {1053.11047}, mrnumber = {2052826}, language = {fr}, url = {archive.numdam.org/item/TSG_2002-2003__21__75_0/} }
Bergeron, Nicolas. Propriétés de Lefschetz dans la cohomologie de certaines variétés arithmétiques : le cas des surfaces modulaires de Hilbert. Séminaire de théorie spectrale et géométrie, Tome 21 (2002-2003) , pp. 75-101. http://archive.numdam.org/item/TSG_2002-2003__21__75_0/
[1] Premier nombre de Betti et spectre du laplacien de certaines variétés hyperboliques. Enseign. Math., 46:109, 2000. | MR 1769939 | Zbl 0969.58009
.[2] Asymptotique de la norme L2 d'un cycle géodésique dans les revêtements de congruence d'une variété hyperbolique arithmétique. Math. Z., 241:101-125, 2002. | MR 1930987 | Zbl 1021.53023
.[3] Lefschetz Properties for Arithmetic Real and Complex Hyperbolic Manifolds. Int. Math. Res. Not., pages 1089-1122, 2003. | MR 1963482 | Zbl 1036.11021
.[4] Sur le spectre et l'homologie des variétés hyperboliques rélles et complexes de congruence. in préparation.
and .[5] Spectre et Homologie des variétés hyperboliques complexes de congruence. C.R. Math. Acad. Sci., 334:995-998, 2002. | MR 1913724 | Zbl 1011.32020
and .[6] A relation between automorphic representations of GL(2) and GL(3). Ann. Sci. École Norm. Sup., 11:471-542, 1978. | Numdam | MR 533066 | Zbl 0406.10022
and .[7] A Lefschetz property for subvarieties of Shimura varieties. J. Algebraic Geometry, 7:77-122, 1998. | MR 1620690 | Zbl 0954.14016
and .[8] Automorphic forms on GL(2), volume 114 of Lecture Notes in Mathematics. Springer Verlag, 1970. | MR 401654 | Zbl 0236.12010
and .[9] Foundations of differential geometry. Vol II. Wiley Interscience Publication, 1969. | MR 1393941 | Zbl 0175.48504
and .[10]Harmonic differentials and closed geodesics on a Riemann surface. Invent. Math., 54:193-211, 1979. | MR 553218 | Zbl 0429.30038
and .[11] The Poincaré dual of a geodesic algebraic curve in a quotient of the 2-ball. Canad. J. Math., 33:485-499, 1981. | MR 617638 | Zbl 0506.32013
and .[12] A note on the Albanese variety of an arithmetic quotient of the complex hyperball. J. Fac. Sci. Univ. Tokyo, Sect. lA Math., 28:481-486, 1981. | MR 656032 | Zbl 0528.14022
.[13] Algebraic groups and number theory. Translated from the 1991 Russian original by Rachel Rowen. Pure and Applied Mathematics, 139. Academic Press, Inc., Boston, MA, 1994. | MR 1278263 | Zbl 0841.20046
and .[14] Cohomology of compact locally symmetric spaces. Compositio Math., 125:221-253, 2001. | MR 1815394 | Zbl 0983.11027
.