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Full Description
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.
Contents
Volume I: Preface. I. Moshe Flato, the man and the scientist. Program of the inaugural meeting. Speeches and Messages. Moshe's Memoirs; D. Sternheimer. In retrospect: A personal view on Moshe Flato's scientific legacy; D. Sternheimer. Curriculum vitae of Moshe Flato. The publications of Moshe Flato. II. Applications of sciences to insurance and finance. Program. Le Conseil scientifique de l'UAP et ses realisations; 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-algebres 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. Frohlich, et al. Singletons and neutrinos; C. Fronsdal. 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 (osp(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 Moshe Flato; M. Kibler. Anticipative Chen-Souriau cohomology and Hochschild cohomology; R. Leandre. 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 Frechet-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. Raczka. Deformation quantization of Lagrangian fiber bundles; N. Reshetikhin, M. Yakimov. Deformation quantization of compact Kahler 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.
