ARMAND BOREL ŒUVRES COLLECTED PAPERS

VOLUME IV 1983-1999

Springer Table des matières

Volume IV

121. (with H. Garland) Laplacian and the Discrète Spectrum of an Arithmetic Group 1 122. L2-Cohomology and Intersection Cohomology of Certain Arithmetic Varieties 28 123. On Free Subgroups of Semi-simple Groups 41 124. Cohomology and Spectrum of an Arithmetic Group 55 125. Regularization Theorems in Lie Algebra Cohomology. Applications 73 126. (with W. Casselman) L2-Cohomology of Locally Symmetric Manifolds of Finite Volume 92 129. The L2-Cohomology of Negatively Curved Riemannian Symmetric Spaces 115 130. On Affine Algebraic Homogeneous Spaces 126 131. (with W. Casselman) Cohomologie d'intersection et L2-cohomologie de variétés arithmétiques de rang rationnel 2 . 131 132. Hermann Weyl and Lie Groups 136 134. A Vanishing Theorem in Relative Lie Algebra Cohomology ... 166 135. (with G. Prasad) Sous-groupes discrets de groupes p-adiques à covolume borné 182 136. On the Set of Discrète Subgroups ofBounded Covolume in a Semisimple Group 188 137. (avec G. Prasad) Valeurs de formes quadratiques aux points entiers 196 138. The School of Mathematics at the Institute for Advanced Study . 200 139. (with G. Prasad) Finiteness Theorems for Discrète Subgroups of Bounded Covolume in Semi-simple Groups 229 140. Correction and Complément to the Paper: Regularization Theorems in Lie Algebra Cohomology. Applications ...... 287 141. (with A. Ash) Generalized Modular Symbols 290 143. The Work of Chevalley in Lie Groups and Algebraic Groups . . . 309 144. (with G. Prasad) Values of Isotropic Quadratic Forms at S-Integral Points 331 145. Deane Montgomery (1909-1992) 357 146. Values of Quadratic Forms at S -intégral points 361 147. (avec F. Bien) Sous-groupes épimorphiques de groupes linéaires algébriques I 364 148. (avec F. Bien) Sous-groupes épimorphiques de groupes linéaires algébriques II 369

IX 149. Réponse à la remise du prix Balzan 1992 . . 375 150. Quelques réflexions sur les mathématiques en général et la théorie des groupes en particulier 377 151. Some Recollections of Harish-Chandra 386 152. Introduction to Middle Intersection Cohomology and Perverse Sheaves 391 153. On the Place of Mathematics in Culture 419 154. (with J. Yang) The Rank Conjecture for Number Fields 441 155. Response to "Theoretical Mathematics: Toward a Cultural Synthesis of Mathematics and Theoretical Physics, by A. Jaffe and F. Quinn" 452 156. Values of Indefinite Quadratic Forms at Intégral Points and Flows on Spaces of Lattices 454 157. Values of Zeta-Functions at Integers, Cohomology and Polylogafithms 475 158. (with F. Bien and J. Kollâr) Rationally Connected Homogeneous Spaces 509 160. (with J-P. Labesse and J. Schwermer) On the Cuspidal Cohomology of S-Arithmetic Subgroups of Reductive Groups over Number Fields 534 161. Class Functions, Conjugacy Classes and Commutators in Semisimple Lie Groups 574 162. On the Work of E. Cartan on Real Simple Lie AlgebYas 593 164. Jean Leray and Algebraic Topology 595 165. Twenty-flve Years with Nicolas Bourbaki, 1949-1973 616 167. Full Reducibility and Invariants for SL2(C) 628 168. André Weil and Algebraic Topology 648 170. André Weil: quelques souvenirs 658 171. Algebraic Groups and Galois Theory in the Work of Ellis R. Kolchin 661 173. Henri Poincaré and Spécial Relativity 681 Commentaires et corrections supplémentaires aux volumes I, II, III . . 701 Commentaires et corrections au volume IV 703 Bibliographie 711

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