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Reprint from GAFA, Vol. 5 (1995), No. 2. Enlarged by a short biography of Mikhail Gromov and a list of publications. In the last decades of the XX century tremendous progress has been achieved in geometry. The discovery of deep interrelations between geometry and other fields including algebra, analysis and topology has pushed it into the mainstream of modern mathematics. This Special Issue of Geometric And Functional Analysis (GAFA) in honour of Mikhail Gromov contains 14 papers which give a wide panorama of recent fundamental developments in modern geometry and its related subjects. CONTRIBUTORS: J. Bourgain, J. Cheeger, J. Cogdell, A. Connes, Y. Eliashberg, H. Hofer, F. Lalonde, W. Luo, G. Margulis, D. McDuff, H. Moscovici, G. Mostow, S. Novikov, G. Perelman, I. Piatetski-Shapiro, G. Pisier, X. Rong, Z. Rudnick, D. Salamon, P. Sarnak, R. Schoen, M. Shubin, K. Wysocki, and E. Zehnder. The book is a collection of important results and an enduring source of new ideas for researchers and students in a broad spectrum of directions related to all aspects of Geometry and its applications to Functional Analysis, PDE, Analytic Number Theory and Physics.
Inhaltsverzeichnis
Aspects of Long-time Behaviour of Solutions of Non-linear Hamiltonian Evolution Equations.- Collapsed Riemannian Manifolds with Bounded Diameter and Bounded Covering Geometry.- Unitarity and Functoriality.- The Local Index Formula in Noncommutative Geometry.- Lagrangian Intersections in Contact Geometry.- Properties of Pseudo-holomorphic Curves in Symplectisations II: Embedding Controls and Algebriac Invariants.- Bilinear Forms on Exact Operator Spaces and B(H) ? B(H).- Local Non-squeezing Theorems and Stability.- On Selberg's Eigenvalue Conjecture.- The Differential of a Quasi-conformal Mapping of a Carnot-Caratheodory Space.- The Semiclassical Electron in a Magnetic Field and Lattice. Some Problems of Low Dimensional "Periodic" Topology.- Widths of Nonnegatively Curved Spaces.- On the Conformal and CR Automorphism Groups.- L2 Riemann-Roch Theorem for Elliptic Operators.
