Jean Leray ’99 Conference Proceedings: The Karlskrona Conference in Honor of Jean Leray (Mathematical Physics Studies, 24)

This volume contains papers presented at the first conference held to honor the memory of, arguably, the greatest mathematician of the twentieth century, Jean Leray. Contributors from all over the world have submitted their work to be included in this unique collection, and it reflects the esteem in which Jean Leray was, and still is held. The book is divided into five parts: hyperbolic systems and equations; symplectic mechanics and geometry; sheaves and spectral sequences; elliptic operators and index theory; and mathematical physics. This volume will appeal to all those who acknowledge the value of Jean Leray's work in general, and students and researchers interested in analysis, topology and geometry, mathematical physics, classical mechanics and fluid mechanics and dynamics in particular. Front Matter....Pages i-3 Front Matter....Pages 5-5 Caractère Holonôme D’une Solution Élémentaire....Pages 7-16 Necessary Conditions for Hyperbolicity of First Order Systems....Pages 17-35 On the Cauchy Problem for Hyperbolic Operators with Non-Regular Coefficients....Pages 37-52 Multiple Points of the Characteristic Manifold of a Diagonalizable Operator....Pages 53-64 Large Temps de vie des Solutions D’un Problème de Cauchy Non Linéaire....Pages 65-74 Une Remarque Sur Un Prolongement Analytique de la Solution du Problème de Cauchy....Pages 75-82 Conormality and Lagrangian Properties Along Diffractive Rays....Pages 83-96 Caractérisation des Opérateurs Différentiels Hyperboliques....Pages 97-107 A Dependence Domain for a Class of Micro-Differential Equations with Involutive Double Characteristics....Pages 109-114 Ramification Non Abélienne....Pages 115-121 Front Matter....Pages 123-123 Extension du Calcul Différentiel et Application à la Théorie des Groupes de Lie en Dimension Infinie....Pages 125-141 The Cohomological Meaning of Maslov’s Lagrangian Path Intersection Index....Pages 143-162 A Kähler Structure on the Punctured Cotangent Bundle of the Cayley Projective Plane....Pages 163-182 On Mechanical Systems with a Lie Group as Configuration Space....Pages 183-203 Dirac Fields on Asymptotically Simple Space-Times....Pages 205-217 An Embedding Result for Some General Symbol Classes in the Weyl Calculus....Pages 219-233 The Lagrangian in Symplectic Mechanics....Pages 235-247 Geometry of Solution Spaces of Spaces of Yang-Mills Equations....Pages 249-265 Front Matter....Pages 267-267 La Theórie des Résidus Sur un Espace Analytique Complexe....Pages 269-279 Derivation of Exact Triples and Leray-Koszul Spectral Sequences....Pages 281-302 Front Matter....Pages 303-303 Le Noyau de la Chaleur des Opérateurs Sous-Elliptiques des Groupes D’Heisenberg....Pages 305-320 The Geometry of Cauchy Data Spaces....Pages 321-354 On the Cauchy Problem for Kirchhoff Equations of p -Laplacian Type....Pages 355-362 A Remark on Surgery in Index Theory of Elliptic Operators....Pages 363-372 The η Invariant and Elliptic Operators in Subspaces....Pages 373-387 Regularisation of Mixed Boundary Problems....Pages 389-410 Front Matter....Pages 411-411 Covariant Method for Solution of Cauchy’s Problem Based on Lie Group Analysis and Leray’s form....Pages 413-421 Liouville Forms, Parallelisms and Cartan Connections....Pages 423-436 A Two-Dimensional Non-Linear Shell Model of Koiter’s Type....Pages 437-449 A Model of the Process of Thinking Based on the Dynamics of Bundles of Branches and Sets of Bundles of p -ADIC Trees....Pages 451-467 Global Wave Maps on Black Holes....Pages 469-482 Entanglement, Parataxy, and Cosmology....Pages 483-542 Sur le Contrôle des Équations de Navier-Stokes....Pages 543-558 Back Matter....Pages 559-564

This volume contains papers presented at the first conference held to honor the memory of, arguably, the greatest mathematician of the twentieth century, Jean Leray. Contributors from all over the world have submitted their work to be included in this unique collection, and it reflects the esteem in which Jean Leray was, and still is held.
The book is divided into five parts: hyperbolic systems and equations; symplectic mechanics and geometry; sheaves and spectral sequences; elliptic operators and index theory; and mathematical physics.
This volume will appeal to all those who acknowledge the value of Jean Leray's work in general, and students and researchers interested in analysis, topology and geometry, mathematical physics, classical mechanics and fluid mechanics and dynamics in particular.