Download First European Congress of Mathematics : Paris, July 6-10, by V. I. Arnold (auth.), Anthony Joseph, Fulbert Mignot, PDF

By V. I. Arnold (auth.), Anthony Joseph, Fulbert Mignot, François Murat, Bernard Prum, Rudolf Rentschler (eds.)

Desk of contents: Plenary Lectures • V.I. Arnold: The Vassiliev thought of Discriminants and Knots • L. Babai: obvious Proofs and bounds to Approximation • C. De Concini: Poisson Algebraic teams and Representations of Quantum teams at Roots of one • S.K. Donaldson: Gauge thought and Four-Manifold Topology • W. Müller: Spectral idea and Geometry • D. Mumford: development conception: A Unifying point of view • A.-S. Sznitman: Brownian movement and hindrances • M. Vergne: Geometric Quantization and Equivariant Cohomology • Parallel Lectures • Z. Adamowicz: the facility of Exponentiation in mathematics • A. Björner: Subspace preparations • B. Bojanov: optimum restoration of features and Integrals • J.-M. Bony: lifestyles globale et diffusion pour les modèles discrets • R.E. Borcherds: Sporadic teams and String thought • J. Bourgain: A Harmonic research method of difficulties in Nonlinear Partial Differatial Equations • F. Catanese: (Some) previous and New effects on Algebraic Surfaces • Ch. Deninger: facts for a Cohomological method of Analytic quantity conception • S. Dostoglou and D.A. Salamon: Cauchy-Riemann Operators, Self-Duality, and the Spectral movement

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Extra info for First European Congress of Mathematics : Paris, July 6-10, 1992 Volume I Invited Lectures (Part 1)

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Les jeunes sont associes aussi a cctte manifestation d nous nons rejonissons que les diverses soci{tes de mathematiqnes pures Oll appliquees, nationalcs ou internationales. soient de plus en pins attentives a impliquer les jennes dans leur df-marche. C'est ainsi qm' les profcsseurs

He currently holds a postdoctoral position at the University of Bonn. He has a number of highly original and powerful contributions to applied analysis and solid mechanics. His work in solid mechanics has covered many aspects of the subject, including the existence of solutions in nonlinear elasticity, composite materials, cavitation, and the discovery of striking effects on crystal microstructures induced by the competition between hulk and interfacial energy. His research in elasticity theory has revealed important properties of the Jacobians of mappings.

The leading principle is based on the USE' of the algebraic information contained in the infinitesimal variation of Hodge structures in order to study sllch geometrical objects as period maps, Abel-Jacobi maps and Hodge's classes. For instance. she obtained important information on the Picard group of surfaces in the complex projective space of dimension :3 by giving precise estimates on tht' c:odimcnsion of the module of surfaces that have a non-generic Picard group. In the same spirit she found an independent and considerably simplified proof of H.

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