@incollection{AST_2009__326__83_0,
author = {R\'emy, Bertrand},
title = {Covolume des {Groupes} {S-Arithm\'etiques} et {Faux} {Plans} {Projectifs} [d'apr\`es {Mumford,} {Prasad,} {Klinger,} {Yeung,} {Prasad-Yeung]}},
booktitle = {S\'eminaire Bourbaki Volume 2007/2008 Expos\'es 982-996},
series = {Ast\'erisque},
note = {talk:984},
pages = {83--129},
year = {2009},
publisher = {Soci\'et\'e math\'ematique de France},
number = {326},
zbl = {1270.22005},
language = {fr},
url = {https://www.numdam.org/item/AST_2009__326__83_0/}
}
TY - CHAP AU - Rémy, Bertrand TI - Covolume des Groupes S-Arithmétiques et Faux Plans Projectifs [d'après Mumford, Prasad, Klinger, Yeung, Prasad-Yeung] BT - Séminaire Bourbaki Volume 2007/2008 Exposés 982-996 AU - Collectif T3 - Astérisque N1 - talk:984 PY - 2009 SP - 83 EP - 129 IS - 326 PB - Société mathématique de France UR - https://www.numdam.org/item/AST_2009__326__83_0/ LA - fr ID - AST_2009__326__83_0 ER -
%0 Book Section %A Rémy, Bertrand %T Covolume des Groupes S-Arithmétiques et Faux Plans Projectifs [d'après Mumford, Prasad, Klinger, Yeung, Prasad-Yeung] %B Séminaire Bourbaki Volume 2007/2008 Exposés 982-996 %A Collectif %S Astérisque %Z talk:984 %D 2009 %P 83-129 %N 326 %I Société mathématique de France %U https://www.numdam.org/item/AST_2009__326__83_0/ %G fr %F AST_2009__326__83_0
Rémy, Bertrand. Covolume des Groupes S-Arithmétiques et Faux Plans Projectifs [d'après Mumford, Prasad, Klinger, Yeung, Prasad-Yeung], dans Séminaire Bourbaki Volume 2007/2008 Exposés 982-996, Astérisque, no. 326 (2009), Exposé no. 984, 47 p.. https://www.numdam.org/item/AST_2009__326__83_0/
[1] , , , & - Fundamental groups of compact Kähler manifolds, Mathematical Surveys and Monographs, vol. 44, Amer. Math. Soc., 1996. | Zbl
[2] , & - Manifolds of nonpositive curvature, Progress in Math., vol. 61, Birkhäuser, 1985. | Zbl
[3] , , & - Compact complex surfaces, 2e ed., Ergebnisse Math. Grenzg., vol. 4, Springer, 2004. | Zbl
[4] - Endliche Erzeugbarkeit arithmetischer Gruppen über Funktionenkörpern, Invent. Math. 7 (1969), p. 1-32. | Zbl | EuDML | DOI
[5] - Some finiteness properties of adele groups over number fields, Publ. Math. I.H.É.S. 16 (1963), p. 5-30. | EuDML | Numdam | DOI
[6] - Commensurability classes and volumes of hyperbolic 3-manifolds, Ann. Scuola Norm. Sup. Pisa Cl. Sci. 8 (1981), p. 1-33. | Zbl | EuDML | Numdam
[7] & - Arithmetic subgroups of algebraic groups, Ann. of Math. 75 (1962), p. 485-535. | Zbl | DOI
[8] & - Finiteness theorems for discrete subgroups of bounded covolume in semi-simple groups, Publ. Math. I.H.É.S. 69 (1989), p. 119-171. | Zbl | EuDML | Numdam | DOI
[9] & - Addendum to : "Finiteness theorems for discrete subgroups of bounded covolume in semi-simple groups" [Publ. Math. I.H.É.S. 69 (1989), p. 119-171], | Zbl | EuDML | Numdam | DOI
& - Addendum to : "Finiteness theorems for discrete subgroups of bounded covolume in semi-simple groups" Publ. Math. I.H.É.S. 71 (1990), p. 173-177. | Zbl | EuDML | Numdam | DOI
[10] & - Continuous cohomology, discrete subgroups, and representations of reductive groups, 2e éd., Mathematical Surveys and Monographs, vol. 67, Amer. Math. Soc., 2000. | Zbl
[11] & - Number theory, Translated from the Russian by Newcomb Greenleaf. Pure and Applied Mathematics, vol. 20, Academic Press, 1966. | Zbl
[12] - Éléments de mathématique. Groupes et algèbres de Lie - Chapitres 4-6 Springer, 2007. | Zbl
[13] - Éléments de mathématique. Intégration - Chapitres 7 et 8, Springer, 2007. | Zbl
[14] & - Metric spaces of non-positive curvature, Grund. Math. Wiss., vol. 319, Springer, 1999. | Zbl
[15] & - Groupes réductifs sur un corps local. I. Données radicielles valuées, Publ. Math. I.H.É.S. 41 (1972), p. 5-251. | Zbl | EuDML | Numdam | DOI
[16] & - Groupes réductifs sur un corps local. II. Schémas en groupes. Existence d'une donnée radicielle valuée, Publ. Math. I.H.É.S. 60 (1984), p. 197-376. | EuDML | Numdam
[17] , , & - Counting hyperbolic manifolds, Geom. Fund. Anal. 12 (2002), p. 1161-1173. | Zbl | DOI
[18] , , & - Groups acting simply transitively on the vertices of a building of type , I et II, Geom. Dedicata 47 (1993), p. 143-166, 167-223. | Zbl | DOI
[19] & - en préparation.
[20] - Nombres de Tamagawa des groupes semi-simples (d'après Kottwitz), Séminaire Bourbaki, vol. 1988/89, exposé n° 702, Astérisque 177-178 (1989), p. 61-82. | Zbl | EuDML | Numdam
[21] - Archimedean superrigidity and hyperbolic geometry, Ann. of Math. 135 (1992), p. 165-182. | Zbl | DOI
[22] & - Commensurabilities among lattices in , Annals of Math. Studies, vol. 132, Princeton Univ. Press., 1993. | Zbl
[23] - Homotopy type and volume of locally symmetric manifolds, Duke Math. J. 124 (2004), p. 459-515. | Zbl | DOI
[24] - Complex hyperbolic geometry, Oxford Mathematical Monographs, The Clarendon Press Oxford Univ. Press, 1999. | Zbl
[25] & - Principles of algebraic geometry, Pure and Applied Mathematics, Wiley-Interscience, 1978. | Zbl
[26] & - Locally homogeneous complex manifolds, Acta Math. 123 (1969), p. 253-302. | Zbl | DOI
[27] & - Nonarithmetic groups in Lobachevsky spaces, Publ. Math. I.H.É.S. 66 (1987), p. 93-103. | Zbl | EuDML | Numdam | DOI
[28] & - Harmonic maps into singular spaces and p-adic superrigidity for lattices in groups of rank one, Publ. Math. I.H.É.S. 76 (1992), p. 165-246. | Zbl | EuDML | Numdam | DOI
[29] - Minkowskische Reduktionstheorie über Funktionenkörpern, Invent. Math. 7 (1969), p. 33-54. | Zbl | EuDML | DOI
[30] - Topological methods in algebraic geometry, Classics in Mathematics, Springer, 1995. | Zbl
[31] & - The strong rigidity theorem for non-Archimedean uniformization, Tohoku Math. J. 50 (1998), p. 537-555. | Zbl | DOI
[32] & - Harmonic maps into Bruhat-Tits buildings and factorizations of p-adically unbounded representations of of algebraic varieties. I, J. Algebraic Geom. 9 (2000), p. 1-42. | Zbl
[33] , & - On discrete chamber-transitive automorphism groups of affine buildings, Bull. Amer. Math. Soc. (N.S.) 16 (1987), p. 129-133. | Zbl | DOI
[34] - Sur la rigidité de certains groupes fondamentaux, l'arithméticité des réseaux hyperboliques complexes, et les "faux plans projectifs", Invent. Math. 153 (2003), p. 105-143. | Zbl | DOI
[35] - Tamagawa numbers, Ann. of Math. 127 (1988), p. 629-646. | Zbl | DOI
[36] - Discrete groups, expanding graphs and invariant measures, Progress in Math., vol. 125, Birkhäuser, 1994. | Zbl
[37] - Discrete subgroups of semisimple Lie groups, Ergebnisse Math. Grenzg., vol. 17, Springer, 1991. | Zbl
[38] , & - Geometric superrigidity, Invent. Math. 113 (1993), p. 57-83. | Zbl | EuDML | DOI
[39] - Strong rigidity of locally symmetric spaces, Princeton Univ. Press, 1973, Annals of Mathematics Studies, No. 78. | Zbl
[40] & - On the compactness of arithmetically defined homogeneous spaces, Ann. of Math. 76 (1962), p. 446-463. | Zbl | DOI
[41] - An algebraic surface with ample, , Amer. J. Math. 101 (1979), p. 233-244. | Zbl | DOI
[42] - Some analytic estimates of class numbers and discriminants, Invent. Math. 29 (1975), p. 275-286. | Zbl | EuDML | DOI
[43] - Discriminant bounds, tables disponibles sur http://www.dtc.umn.edu/˜odlyzko/unpublished/index.html.
[44] - Nombres de Tamagawa et groupes unipotents en caractéristique p, Invent. Math. 78 (1984), p. 13-88. | Zbl | EuDML | DOI
[45] - Sous-groupes discrets des groupes de Lie : rigidité, arithméticité, Séminaire Bourbaki, vol. 1993/94, exposé n° 778, Astérisque 227 (1995), p. 69-105. | Zbl | Numdam | EuDML
[46] & - Algebraic groups and number theory, Pure and Applied Mathematics, vol. 139, Academic Press Inc., 1994. | Zbl
[47] - Strong approximation for semi-simple groups over function fields, Ann. of Math. 105 (1977), p. 553-572. | Zbl | DOI
[48] - Elementary proof of a theorem of Bruhat-Tits-Rousseau and of a theorem of Tits, Bull. Soc. Math. France 110 (1982), p. 197-202. | Zbl | EuDML | Numdam | DOI
[49] - Volumes of S-arithmetic quotients of semi-simple groups, Publ. Math. I.H.É.S. 69 (1989), p. 91-114. | Zbl | EuDML | Numdam | DOI
[50] & - Fake projective planes, Invent. Math. 168 (2007), p. 321-370. | Zbl | DOI
[51] & - Addendum to "Fake projective planes", à paraître.
[52] & - Arithmetic fake projective spaces and arithmetic fake grassmannians, prépublication de l'Institut Max Planck de Bonn. | Zbl | DOI
[53] - Discrete subgroups of Lie groups, Springer, 1972, Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 68. | Zbl | DOI
[54] - Simpson's theory and superrigidity of complex hyperbolic lattices, C. R. Acad. Sci. Paris Sér. I Math. 320 (1995), p. 1061-1064. | Zbl
[55] - Automorphic representations of unitary groups in three variables, Annals of Math. Studies, vol. 123, Princeton Univ. Press, 1990. | Zbl
[56] - Immeubles des groupes réducitifs sur les corps locaux, Thèse, Université Paris XI, Orsay, 1977, Publications Mathématiques d'Orsay, No. 221-77.68. | Zbl
[57] - Groupe de Brauer et arithmétique des groupes algébriques linéaires sur un corps de nombres, J. reine angew. Math. 327 (1981), p. 12-80. | Zbl | EuDML
[58] - Cohomologie des groupes discrets, in Prospects in mathematics (Proc. Sympos., Princeton Univ., Princeton, N.J., 1970), Princeton Univ. Press, 1971, p. 77-169. Ann. of Math. Studies, No. 70. | Zbl
[59] - Higgs bundles and local systems, Publ. Math. I.H.É.S. 75 (1992), p. 5-95. | MR | Zbl | EuDML | Numdam | DOI
[60] - Lefschetz theorems for the integral leaves of a holomorphic one-form, Compositio Math. 87 (1993), p. 99-113. | MR | Zbl | EuDML | Numdam
[61] - On the Zimmert estimate for the regulator of an algebraic field, Mat. Zametki 51 (1992), p. 153-155. | MR | Zbl
[62] - Linear algebraic groups, 2e éd., Progress in Math., vol. 9, Birkhäuser, 1998. | MR | Zbl
[63] - Regular elements of semisimple algebraic groups, Publ Math. I.H.É.S. 25 (1965), p. 49-80. | MR | EuDML | Numdam | DOI
[64] - The geometry and topology of three-manifolds, http://www.msri.org/publications/books/gt3m.
[65] - Classification of algebraic semisimple groups, in Algebraic Groups and Discontinuous Subgroups (Proc. Sympos. Pure Math., Boulder, Colo., 1965), Amer. Math. Soc., 1966, p. 33-62. | MR | Zbl | DOI
[66] - Reductive groups over local fields, in Automorphic forms, representations and L-functions (Proc. Sympos. Pure Math., Oregon State Univ., Corvallis, Ore., 1977), Part 1, Proc. Sympos. Pure Math., XXXIII, Amer. Math. Soc, 1979, p. 29-69. | MR | Zbl
[67] - Topics on totally discontinuous groups, in Symmetric spaces (Short Courses, Washington Univ., St. Louis, Mo., 1969-1970), Dekker, 1972, p. 459-487. | MR | Zbl
[68] - Basic number theory, 3e éd., Die Grund. Math. Wiss., vol. 144, Springer, 1974. | MR | Zbl
[69] - Adeles and algebraic groups, Progress in Math., vol. 23, Birkhäuser, 1982. | MR | Zbl
[70] - On the Ricci curvature of a compact Kähler manifold and the complex Monge-Ampère equation. I, Comm. Pure Appl. Math. 31 (1978), p. 339- 411. | MR | Zbl | DOI
[71] - Integrality and arithmeticity of co-compact lattice corresponding to certain complex two-ball quotients of Picard number one, Asian J. Math. 8 (2004), p. 107-129. | MR | Zbl | DOI
[72] - Ergodic theory and semisimple groups, Monographs in Math., vol. 81, Birkhäuser, 1984. | MR | Zbl
[73] - Ideale kleiner Norm in Idealklassen und eine Regulatorabschätzung, Invent. Math. 62 (1981), p. 367-380. | MR | Zbl | EuDML | DOI







