Sous-groupes discrets des groupes de Lie : rigidité, arithméticité
Séminaire Bourbaki : volume 1993/94, exposés 775-789, Astérisque, no. 227 (1995), Talk no. 778, p. 69-105
@incollection{SB_1993-1994__36__69_0,
     author = {Pansu, Pierre},
     title = {Sous-groupes discrets des groupes de Lie : rigidit\'e, arithm\'eticit\'e},
     booktitle = {S\'eminaire Bourbaki : volume 1993/94, expos\'es 775-789},
     author = {Collectif},
     series = {Ast\'erisque},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {227},
     year = {1995},
     note = {talk:778},
     pages = {69-105},
     zbl = {0835.22011},
     mrnumber = {1321644},
     language = {fr},
     url = {http://www.numdam.org/item/SB_1993-1994__36__69_0}
}
Pansu, Pierre. Sous-groupes discrets des groupes de Lie : rigidité, arithméticité, in Séminaire Bourbaki : volume 1993/94, exposés 775-789, Astérisque, no. 227 (1995), Talk no. 778, pp. 69-105. http://www.numdam.org/item/SB_1993-1994__36__69_0/

[A] E. Andreev, Convex polyhedra of finite volume in Lobachevski space, Mat. Sb. 83 (1970), 256-260. | MR 273510 | Zbl 0203.54904

[A-B] N. A'Campo et M. Burger, Une preuve du théorème de superrigidité de G.A. Margulis, Preprint Université de Basel, (1991).

[B-M-S] H. Bass, J. Milnor and J.-P. Serre, Solution of the congruence subgroup prob-

lem for SLn (n ≥ 3) and Sp2n (n ≥ 2), Publ. Math. I. H. E. S. 33 (1967), 59-137. | Article

[Bo] R. Borcherds, Automorphism groups of Lorentzian lattices, J. of Algebra 111 (1987), 133-153. | Article | MR 913200 | Zbl 0628.20003

[B1] A. Borel, On the curvature tensor of the hermitian symmetric manifolds, Ann. of Math. 71 (1960), 508-521. | Article | MR 111059 | Zbl 0100.36101

[B2] A. Borel, Compact Clifford-Klein forms of symmetric spaces, Topology 2 (1963), 111-122. | Article | MR 146301 | Zbl 0116.38603

[B3] A. Borel, Introduction aux groupes arithmétiques, Hermann, Paris (1969). | MR 244260 | Zbl 0186.33202

[B-W] A. Borel and N. Wallach, Continuous cohomology, discrete subgroups and representations of reductive groups, Ann. Math. Studies, Princeton University Press, Princeton, N.J. (1980). | MR 554917 | Zbl 0443.22010

[B-T] F. Bruhat et J. Tits, Groupes réductifs sur un corps local, Publ. Math. I. H. E. S. 41 (1972), 5-252. | Article | Numdam | MR 327923 | Zbl 0254.14017

[C] E. Calabi, On compact Riemannian manifolds with constant curvature I, in "Differential Geometry", Proc. Symp. Pure Math. 3, Amer. Math. Soc., Providence, R.I. (1961), 155-180. | Article | MR 133787 | Zbl 0129.14102

[C-T] J. Carlson and D. Toledo, Harmonic mappings of Kähler manifolds to locally symmetric spaces, Publ. Math. I.H.E.S. 69 (1989), 173-201. | Article | Numdam | MR 1019964 | Zbl 0695.58010

[C-V] E. Calabi and E. Vesentini, On compact locally symmetric Kähler manifolds, Ann. of Math. 71 (1960), 472-507. | Article | MR 111058 | Zbl 0100.36002

[C-W] P. Cohen et J. Wolfart, Fonctions hypergéométriques en plusieurs variables et espaces de modules de variétés abéliennes, Ann. Sci. Ec. Norm. Sup. Paris 26 (1993), 665-690. | Article | Numdam | MR 1251148 | Zbl 0822.14014

[Co1] K. Corlette, Flat G-bundles with canonical metrics, J. Differen. Geom. 28 (1988), 361-382. | Article | MR 965220 | Zbl 0676.58007

[Co2] K. Corlette, Archimedean superrigidity and hyperbolic geometry, Ann. of Math. 135 (1992), 165-182. | Article | MR 1147961 | Zbl 0768.53025

[D-K] C. Delaroche et A. Kirillov, Sur les relations entre l'espace dual d'un groupe et la structure de ses sous-groupes fermés, Séminaire Bourbaki, Exposé n° 343, (1967-68), Benjamin, New York (1969). | Numdam | Zbl 0214.04602

[D-M] P. Deligne and G. D. Mostow, Monodromy of hypergeometric functions and non lattice integral monodromy, Publ. Math. I.H.E.S. 63 (1986), 5-89. | Article | Numdam | MR 849651 | Zbl 0615.22008

[E-S] J. Eells and J. Sampson, Harmonic maps of Riemannian manifolds, Amer. J. Math. 86 (1964), 109-160. | Article | MR 164306 | Zbl 0122.40102

[F] H. Furstenberg, Poisson boundaries and envelopes of discrete groups, Bull. Amer. Math. Soc. 73 (1967), 350-356. | Article | MR 210812 | Zbl 0184.33105

[Ga1] H. Garland, A rigidity theorem for discrete subgroups, Trans. Amer. Math. Soc. 129 (1967), 1-25. | Article | MR 214102 | Zbl 0225.22016

[Ga2] H. Garland, p-adic curvature and the cohomology of discrete subgroups of p-adic groups, Ann. of Math. 97 (1973), 375-423. | Article | MR 320180 | Zbl 0262.22010

[G-M] W. Goldman and J. Millson, The deformation theory of representations of fundamental groups of compact Kähler manifolds, Publ. Math. I.H.E.S. 67 (1988), 43-96. | Article | Numdam | MR 972343 | Zbl 0678.53059

[G1] M. Gromov, Hyperbolic groups, in "Essays in group theory", ed. S. Gersten, Springer Verlag, Heidelberg (1987), 75-265. | MR 919829 | Zbl 0634.20015

[G2] M. Gromov, The foliated Plateau problem I, Geom. Functional Anal. 1 (1992), 14-79 ; idem : II, ibidem 253-320. | Article | MR 1091610 | Zbl 0768.53012

[G-P] M. Gromov and I. Piatetski-Shapiro, Non-arithmetic groups in Lobachevsky spaces, Publ. Math. I. H. E. S. 66 (1988), 93-103. | Article | Numdam | MR 932135 | Zbl 0649.22007

[G-S] M. Gromov and R. Schoen, Harmonic maps into singular spaces and p-adic superrigidity for lattices in groups of rank one, Publ. Math. I.H.E.S. 76 (1992), 165-246. | Article | Numdam | MR 1215595 | Zbl 0896.58024

[H] N. J. Hitchin, The self-duality equations on a Riemann surface, Proc. London Math. Soc. 55 (1987), 59-126. | Article | MR 887284 | Zbl 0634.53045

[H-V] P. De La Harpe et P. Valette, La propriété (T) de Kazhdan pour les groupes localement compacts, Astérisque 175, Soc. Math. de France (1989). | Numdam | Zbl 0759.22001

[J-Y] J. Jost and S. T. Yau, Harmonic maps and superrigidity, Proc. Symp. Pure Math. 54 (1993), 245-280. | Article | MR 1216587 | Zbl 0806.58012

[K-N] S. Kaneyuki and T. Nagano, On certain quadratic forms related to symmetric Riemannian spaces, Osaka Math. J. 14 (1962), 241-252. | MR 159347 | Zbl 0114.13403

[K-L] A. Katok and J. Lewis, Global rigidity results for lattice actions on tori and new examples of volume preserving actions, Preprint Pennsylvania State University (1991). | MR 1380646 | Zbl 0857.57038

[K] D. Kazhdan, Connection of the dual space of a group with the structure of its closed subgroups, Funkc. Anal. i Prilozh. 67 (1967), 71-74. | MR 209390 | Zbl 0168.27602

[Kh] A. G. Khovanski, Hyperplane section of polyhedra, toroidal manifolds and discrete groups in Lobatchevski space, Funkc. Anal. i Prilozh. 20 (1986), 50-61. | MR 831049 | Zbl 0597.51014

[La] F. Labourie, Existence d'applications harmoniques tordues à valeurs dans les variétés à courbure négative, Proc. Amer. Math. Soc. 111 (1991), 877-882. | MR 1049845 | Zbl 0783.58016

[Lu] A. Lubotsky, Trees and discrete subgroups of Lie groups over local fields, Bull. Amer. Math. Soc. 20 (1989), 27-30. | Article | MR 945301 | Zbl 0676.22007

[Ma1] G. A. Margulis, Discrete groups of motions of manifolds of nonpositive curvature, Amer. Math. Soc. Transl. 109 (1977), 33-45. | MR 492072 | Zbl 0367.57012

[Ma2] G. A. Margulis, Arithmeticity and finite dimensional representations of uniform lattices, Funkc. Anal. i Prilozh. 8 (1974), 258-259. | Article | MR 357689 | Zbl 0303.22005

[Ma3] G. A. Margulis, Discrete subgroups of semisimple Lie groups, Ergeb. der Math. Band 17, Springer Verlag, Berlin (1990). | MR 1090825 | Zbl 0732.22008

[Mat] Y. Matsushima, On the first Betti number of compact quotient spaces of higher-dimensional symmetric spaces, Ann. of Math. 75 (1962), 312-330. | Article | MR 158406 | Zbl 0118.38303

[Mok] N. Mok, Metric rigidity theorems on Hermitian locally symmetric manifolds, World Sci., Singapore (1989). | MR 1081948 | Zbl 0912.32026

[M1] G. D. Mostow, Quasiconformal mappings in n-space and the rigidity of hyperbolic space forms, Publ. Math. I.H.E.S. 34 (1967), 53-104. | Article | Numdam | MR 1055358 | Zbl 0189.09402

[M2] G. D. Mostow, The rigidity of locally symmetric spaces, Proc. Intern. Congress of Math. (1970), 187-197. | MR 419683 | Zbl 0224.53028

[M3] G. D. Mostow, Strong rigidity of locally symmetric spaces, Annals of Math. Studies, Study 78, Princeton Univ. Press, Princeton N.J. (1973). | MR 385004 | Zbl 0265.53039

[M4] G. D. Mostow, Discrete subgroups of Lie groups, in "Elie Cartan et les Mathématiques d'aujourd'hui", Astérisque, numéro hors série (1985), 289-309. | Numdam | MR 837205 | Zbl 0605.22008

[M5] G. D. Mostow, Generalized Picard lattices arising from half-integral conditions., Publ. Math. I.H.E.S. 63 (1986), 91-106. | Article | Numdam | MR 849652 | Zbl 0615.22009

[M-S-Y] N. Mok, Y. T. Siu and S. K. Yeung, Geometric superrigidity, Invent. Math. 113 (1993), 57-83. | Article | MR 1223224 | Zbl 0808.53043

[Pr] M. N. Prokhorov, The absence of discrete reflexion groups with noncompact fundamental polyhedron of finite volume in Lobachevsky space of large dimension, Izvest. Mat. Nauk 28 (1987), 401-411. | Article | Zbl 0613.51010

[Ru] O. P. Ruzmanov, Examples of nonarithmetic crystallographic Coxeter groups in n-dimensional Lobachevsky space for 6 ≤ n ≤ 10, Problems in group theory and homological algebra (1989). | Zbl 0765.20022

[S] A. Selberg, On discontinuous groups in higher dimensional symmetric spaces, in "Intern. Coll. on Function Theory", Tata Institute of Fund. Research, Bombay, (1960), 147-164. | MR 130324 | Zbl 0201.36603

[Sa] J. Sampson, Applications of harmonic maps to Kähler geometry, Contemp. Math. 49 (1986), 125-133. | Article | MR 833809 | Zbl 0605.58019

[Si1] C. Simpson, Higgs bundles and local systems, Publ. Math. I. H. E. S. 75 (1992), 5-95. | Article | Numdam | MR 1179076 | Zbl 0814.32003

[Si2] C. Simpson, Integrality of rigid local systems of rank two on a smooth pro- jective variety, Preprint Université de Toulouse (1992). | MR 1179076

[Siu] Y. T. Siu, Complex analyticity of harmonic maps, and strong rigidity of compact Kähler manifolds, Ann. of Math. 112 (1980), 73-111. | Article | MR 584075 | Zbl 0517.53058

[Th1] W. Thurston, The geometry and topology of 3-manifolds, Princeton University Press, Princeton (1978).

[Th2] W. Thurston, Shape of polyhedra, Preprint Princeton Univ. (1987).

[T1] J. Tits, Classification of algebraic groups, in "Algebraic groups and discrete subgroups", Proc. Symp. Pure Math., Amer. Math. Soc., Providence, R.I., 9 (1966), 33-62 | Article | MR 224710 | Zbl 0238.20052

[T2] J. Tits, Lectures on buildings of spherical type and finite B-N pairs, Lecture Notes Band 386, Springer Verlag, Heidelberg (1970). | Zbl 0295.20047

[T3] J. Tits, Sur les travaux de Margulis, Séminaire Bourbaki, Exposé n° 482, (1975-76), Lect. Notes in Math. Vol 567, Springer Verlag, Berlin (1976). | Numdam | MR 492073

[To] D. Toledo, Representations of surface groups in PSU(n,1) with maximum characteristic number, J. Differen. Geom. 29 (1989), 125-134. | MR 978081 | Zbl 0676.57012

[V] E. B. Vinberg, Geometry II, Encyclopedia of Math. Sci., Springer Verlag, Heidelberg, (1990). | Zbl 0786.00008

[W-Z] Mck. Wang and W. Ziller, Symmetric spaces and strongly isotropy irreducible spaces, Preprint Univ. of Pennsylvania (1991). | MR 1219904 | Zbl 0804.53075

[W] A. Weil, On discrete subgroups of Lie groups II, Ann. of Math. 75 (1962), 578-602. | Article | MR 137793 | Zbl 0131.26602

[Z] R. Zimmer, Ergodic theory and semisimple groups, Monographs in Math. vol. 81, Birkhäuser, Basel (1984). | MR 776417 | Zbl 0571.58015

[Zuo] K. Zuo, Factorizations of nonrigid Zariski dense representations of π1 of projective algebraic manifolds, Preprint Universität Kaiserslautern (1991). | Zbl 0843.14008