Table of Contents
List of Wolf Prize Winners v
Preface vii
Curriculum Vitae Vladimir I. Arnold 1
List of Publications 3
Instability of Dynamical Systems with Several Degrees of Freedom, Dokl. Akad. Nauk SSSR 156 (1964) 9-12 32
Characteristic Class Entering in Quantization Conditions, Functional. Anal. i Prilozhen. 1 (1967) 1-13 37
Distribution of Ovals of the Real Plane of Algebraic Curves, of Involutions of Four-Dimensional Smooth Manifolds, and the Arithmetic of Integer-Valued Quadratic Forms, Functional Anal i Prilozhen. 5(1971) 169-176 50
Curriculum Vitae Pierre R. Deligne 59
List of Publications 61
An Overview of Deligne's Work on Hilbert's Twenty-First Problem (by N. M. Katz), in Mathematical Developments Arising from Hilbert Problems (Proc. Sympos. Pure Math., XXVIII), pp. 537-557 70
The Work of Pierre Deligne (by N. M. Katz), in Proceedings of the International Congress of Mathematicians (Helsinki, 1978), pp. 47-52 91
La Conjecture de Weil. I (in French), Inst. Hautes Études Sec. Publ. Math. No. 43 (1974), 273-307 97
Curriculum Vitae Hillel Fürstenberg 133
List of Publications 134
The Unique Ergodicity of the Horocycle Flow, in Recent Advances in Topological Dynamics (Proc. Conf., Yale Univ., New Haven, Conn., 1972; in honor of Gustav Arnold Hedlund), pp. 95-115 138
Poisson Boundaries and Envelopes of Discrete Groups, Bull. Amer. Math. Soc. 73 (1967) 350-356 159
Recurrent Ergodic Structures and Ramsey Theory, in Proceedings of the International Congress of Mathematicians (Kyoto, 1990), pp. 1057-1069 166
Curriculum Vitae Israel M. Gel'fand 179
List of Publications 181
On the Determination of a Differential Equation from Its Spectral Function (with B. M. Levitan), Amer. Math. Soc. Transl. (2) 1 (1955)253-304 222
Automorphic Functions and the Theory of Representations, in 1963 Proceedings of the International Congress of Mathematicians (Stockholm, 1962), pp. 74-85 274
The Cohomology of Infinite Dimensional Lie Algebras; Some Questions of Integral Geometry, Actes du Congrès International des Mathématiciens (Nice, 1970), Tome 1, pp. 95-111 286
Hypergeometric Functions, Toric Varieties and Newton Polyhedra (with M. M. Kapranov and A. V. Zelevinsky), ICM-90 Satell. Conf. Proc., pp. 104-121 303
The Actions of Infinite-Dimensional Lie Algebras (with D. A. Kazhdan and D. B. Fuks), Funct. Anal. Appl. 6 (1972) 9-13 321
Curriculum Vitae Phillip A. Griffiths 327
List of Publications 330
Introductory Comments to Parts 1-4, from The Selected Works of Phillip Griffiths with Commentary 340
Mumford-Tate Groups (ICTP, Trieste, June 2010) 369
Curriculum Vitae Mikhail Gromov 397
List of Publications 399
Possible Trends in Mathematics in the Coming Decades, Notices Amer. Math. Soc. 45 (1998) 846-847 408
A. D. Alexandrov Spaces with Curvature Bounded Below (with Yu. Burago and G. Perel'man), Russ. Math. Surv. 47 (1992) 1-58 410
Pseudo Holomorphic Curves in Symplectic Manifolds, Invent. Math. 82(1985)307-347 468
Groups of Polynomial Growth and Expanding Maps (with Appendix by J. Tits, pp. 74-78), Inst. Hautes Études Sci. Publ. Math. No. 53 (1981) 53-73 509
Curriculum Vitae Gregory A. Margulis 535
List of Publications 536
On Some Aspects of the Theory of Anosov Systems (including only Preface, Table of Contents, Introduction and References) 544
Discrete Subgroups of Semisimple Lie Groups (including only Table of Contents, Introduction, Historical and Bibliographical Notes and References) 553
Free Totally Discontinuous Groups of Affine Transformations, Soviet Math. Dokl. 28 (1983) 435-439 580
Indefinite Quadratic Forms and Unipotent Flows on Homogeneous Spaces, in Dynamical Systems and Ergodic Theory (Warsaw, 1986), pp. 399-409 585
On the Limit Distributions of Orbits of Unipotent Flows and Integral Solutions of Quadratic Inequalities (with S. G. Dani) (in French), C. R. Acad. Sci. Paris Sér I 314 (1992) 699-704 596
On a Quantitative Version of the Oppenheim Conjecture (with A. Eskin and S. Mozes), Electron. Res. Announc. Amer. Math. Soc. 1 (1995) 124-130 602
Flows on Homogeneous Spaces and Diophantine Approximation on Manifolds (with D. Y. Kleinbock), Ann. of Math. 148 (1998) 339-360 (including only Abstract, Introduction and References) 609
Local Rigidity of Affine Actions of Higher Rank Groups and Lattices (with D. Fisher), Ann. of Math. 170 (2009) 67-122 (including only Abstract, Introduction and References) 616