Geometric Aspects of Analysis and Mechanics - nouveau livre

Livre dans la base de données depuis 2008-07-11T14:49:54+02:00 (Paris)
Page de détail modifiée en dernier sur 2024-01-17T11:35:50+01:00 (Paris)
ISBN/EAN: 0817682449

ISBN - Autres types d'écriture:
0-8176-8244-9, 978-0-8176-8244-6
Autres types d'écriture et termes associés:
Auteur du livre: kolk, ban, philippe, van kol
Titre du livre: hans, geometric analysis

Données de l'éditeur

Auteur: Erik P. van den Ban; Johan A.C. Kolk
Titre: Progress in Mathematics; Geometric Aspects of Analysis and Mechanics - In Honor of the 65th Birthday of Hans Duistermaat
Editeur: Birkhäuser; Birkhäuser Boston
372 Pages
Date de parution: 2011-06-28
Boston; MA; US
Imprimé / Fabriqué en
Langue: Anglais
149,79 € (DE)
177,00 CHF (CH)
Available
XXXVI, 372 p. 5 illus.

EA; E107; eBook; Nonbooks, PBS / Mathematik/Analysis; Mathematische Analysis, allgemein; Verstehen; eigenvalue distributions; formulas of Duistermaat–Heckman; index theory; non-Abelian localization; semi-classical inverse problems; symplectic inverse spectral theory; B; Analysis; Geometry; Mathematical Methods in Physics; Differential Geometry; Algebraic Geometry; Group Theory and Generalizations; Analysis; Geometry; Mathematical Methods in Physics; Differential Geometry; Algebraic Geometry; Group Theory and Generalizations; Mathematics and Statistics; Geometrie; Mathematische Physik; Differentielle und Riemannsche Geometrie; Algebraische Geometrie; Gruppen und Gruppentheorie; BB

Hans Duistermaat, an influential geometer-analyst, made substantial contributions to the theory of ordinary and partial differential equations, symplectic, differential, and algebraic geometry, minimal surfaces, semisimple Lie groups, mechanics, mathematical physics, and related fields. Written in his honor, the invited and refereed articles in this volume contain important new results as well as surveys in some of these areas, clearly demonstrating the impact of Duistermaat's research and, in addition, exhibiting interrelationships among many of the topics.

Preface.- About J.J. Duistermaat.- Hans Duistermaat (1942-2010).- Recollections of Hans Duistermaat.- Recollections of Hans Duistermaat.- Recollections of Hans Duistermaat.- Classical Mechanics and Hans Duistermaat.- Duistermaat-Heckman formulas and index theory.- Asymptotic equivariant index of Toeplitz operators and relative index of CR structures.- A semi-classical inverse problem I: Taylor expansions.- A semi-classical inverse problem II: reconstruction of the potential.- On the solvability of systems of pseudodifferential operators.- The Darboux process and a noncommutative bispectral problem: some explorations and challenges.- Conjugation spaces and edges of compatible torus actions.- Non-Abelian localization for U(1) Chern-Simons theory.- Symplectic implosion and non-reductive quotients.- Quantization of q-Hamiltonian SU(2)-spaces.- Wall-crossing formulas in Hamiltonian geometry.- Eigenvalue distributions and Weyl laws for semi-classical non-self-adjoint operators in 2 dimensions.- Symplectic inverse spectral theory for pseudodifferential operators.

Hans Duistermaat, an influential geometer-analyst, made substantial contributions to the theory of ordinary and partial differential equations, symplectic, differential, and algebraic geometry, minimal surfaces, semisimple Lie groups, mechanics, mathematical physics, and related fields. Written in his honor, the invited and refereed articles in this volume contain important new results as well as surveys in some of these areas, clearly demonstrating the impact of Duistermaat's research and, in addition, exhibiting interrelationships among many of the topics.

The well-known contributors to this text cover a wide range of topics: semi-classical inverse problems; eigenvalue distributions; symplectic inverse spectral theory for pseudodifferential operators; solvability for systems of pseudodifferential operators; the Darboux process and a noncommutative bispectral problem; a proof of the Atiyah-Weinstein conjecture on the index of Fourier integral operators and the relative index of CR structures; relations between index theory and localization formulas of Duistermaat–Heckman; non-Abelian localization; symplectic implosion and nonreductive quotients; conjugation spaces; and Hamiltonian geometry. Also included are several articles in memory of Hans Duistermaat.

Contributors include J.-M. Bismut, L. Boutet de Monvel, Y. Colin de Verdière, R.H. Cushman, N. Dencker, F.A. Grünbaum, V.W. Guillemin, J.-C. Hausmann, G. Heckman, T. Holm, L.C. Jeffrey, F. Kirwan, E. Leichtnam, B. McLellan, E. Meinrenken, P.-E. Paradan, J. Sjöstrand, X. Tang, S. Vũ Ngọc, A. Weinstein.

Invited articles written by prominent researchers in the field

Broad collection of topics highlights Duistermaat's wide range of research and influence

The articles cover a wide area of fields, including symplectic, differential, and algebraic geometry, mechanics, and mathematical physics

Includes supplementary material: sn.pub/extras