Conférence Moshé Flato 1999

Quantization, Deformations, and Symmetries Volume I
Herausgegeben:Dito, Giuseppe; Sternheimer, Daniel

• Broschiertes Buch

Produktbeschreibung

These two volumes constitute the Proceedings of the `Conférence Moshé Flato, 1999'. Their spectrum is wide but the various areas covered are, in fact, strongly interwoven by a common denominator, the unique personality and creativity of the scientist in whose honor the Conference was held, and the far-reaching vision that underlies his scientific activity.
With these two volumes, the reader will be able to take stock of the present state of the art in a number of subjects at the frontier of current research in mathematics, mathematical physics, and physics. Volume I is prefaced by reminiscences of and tributes to Flato's life and work. It also includes a section on the applications of sciences to insurance and finance, an area which was of interest to Flato before it became fashionable. The bulk of both volumes is on physical mathematics, where the reader will find these ingredients in various combinations, fundamental mathematical developments based on them, and challenging interpretations of physical phenomena.
Audience: These volumes will be of interest to researchers and graduate students in a variety of domains, ranging from abstract mathematics to theoretical physics and other applications. Some parts will be accessible to proficient undergraduate students, and even to persons with a minimum of scientific knowledge but enough curiosity.

Produktdetails

• Mathematical Physics Studies 21/22
• Verlag: Springer / Springer Netherlands
• Artikelnr. des Verlages: 978-90-481-5550-7
• Softcover reprint of hardcover 1st ed. 2000
• Seitenzahl: 440
• Erscheinungstermin: 4. Dezember 2010
• Englisch
• Abmessung: 235mm x 155mm x 24mm
• Gewicht: 663g
• ISBN-13: 9789048155507
• ISBN-10: 9048155509
• Artikelnr.: 32094424

Inhaltsangabe

Volume I: Preface. I. Moshé Flato, the man and the scientist. Program of
the inaugural meeting. Speeches and Messages. Moshé's Memoirs; D.
Sternheimer. In retrospect: A personal view on Moshé Flato's scientific
legacy; D. Sternheimer. Curriculum vitae of Moshé Flato. The publications
of Moshé Flato. II. Applications of sciences to insurance and finance.
Program. Le Conseil scientifique de l'UAP et ses réalisations; Y.
Chassagne. A new method for optimal equity allocation and portfolio
selection; E. Taflin. The recognition of handwriting; J.-C. Simon. From
Bachelier and Lundberg to insurance and weather derivatives; H. Geman. III.
Quantization, deformations, and symmetries. On the Bohr-Rosenfeld
measurability problem for non-linear systems; Y. Aharonov, B. Reznik.
Star-produits et star-algèbres holomorphes; L.B. de Monvel. Cyclic
cohomology and Hopf algebra symmetry; A. Connes, H. Moscovici. Modular
double of a quantum group; L. Faddeev. On G-trace and G-index in
deformation quantization; B. Fedosov. Superconformal field theories,
multiplet shortening, and the AdSs/SCFT4 correspondence; S. Ferrara, A.
Zaffaroni. On a classical limit of quantum theory and the non-linear
Hartree equation; J. Fröhlich, et al. Singletons and neutrinos; C.
Frønsdal. Variations on deformation quantization; S. Gutt. Deformations of
algebras over operads and the Deligne conjecture; M. Kontsevich, Y.
Soibelman. A generalization of the Bott-Borel-Weil theorem and Euler number
multiplets of representations; B. Kostant. Self-energy of electrons in
non-perturbative QED; E. Lieb, M. Loss. Nonlinear relativistic evolution
equations: Survey of a new approach; J.C.H. Simon, E. Taflin. Quantum field
theories on an algebraic curve; L.A. Takhtajan. Program of the conference.
List of participants. Committees. Index. Volume II. IV. Contributed papers.
Singletons on AdSn; E. Angelopoulos, M. Laoues. Remarks on the
zeta-regularized determinant of differential operators; A. Asada.
Projectable star-products; S.A. Lares. The deformation quantization of
certain super-Poisson brackets and BRST cohomology; M. Bordemann. On
positive deformations of ★-algebras; H. Bursztyn, S. Waldmann.
Symmetric symplectic spaces with Ricci-type curvature; M. Cahen, et al.
Drinfeld realization of quantum superalgebras and Uq (ošp(1,2)); J. Ding,
B. Feigin. Quantum homogeneous spaces and quasi-Hopf algebras; B. Enriquez,
Y. Kosmann-Schwarzbach. Gauged q-fields; R. Finkelstein. Generalized
coherent states for arbitrary quantum systems; J.-P. Gazeau, P. Monceau.
Tensor products of Frobenius manifolds and moduli spaces of higher spin
curves; T.J. Jarvis, et al. On Fedosov's approach to deformation
quantization with separation of variables; A.V. Karabegov. The Master
thesis of Moshé Flato; M. Kibler. Anticipative Chen-Souriau cohomology and
Hochschild cohomology; R. Léandre. Are there macroscopic quantum bodies? B.
Mielnik. Star-products, spectral analysis, and hyperfunctions; C. Moreno,
J.A.P. da Silva. Induced action in QCD; V. Novozhilov, Y. Novozhilov.
Deformation quantization of Fréchet-Poisson algebras: Convergence of the
Moyal product; H. Omori, et al. On the deformation aspects of the replica
thermalisation of the SU(2)-invariant Thirring model; M. Pillin. Improved
perturbation expansion in quantum chromodynamics; P. Rączka.
Deformation quantization of Lagrangian fiber bundles; N. Reshetikhin, M.
Yakimov. Deformation quantization of compact Kähler manifolds by
Berezin-Toeplitz quantization; M. Schlichenmaier. Homotopy Gerstenhaber
algebras; A.A. Voronov. Linearization problems for Lie algebroids and Lie
groupoids; A. Weinstein. Appendix A: Program of the scientific conference.
Appendix B: Table of contents of volume I. Index.