Differential Geometric Methods in Mathematical Physics Clausthal 198
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905 Differential Geometric Methods in Mathematical Physics Clausthal 1980 Proceedings of an International Conference Held at the Technical University of Clausthal, FRG, July 23 - 25,1980
Edited by H.-D. Doebner, S.1. Andersson, and H.R. Petry
Springer-Verlag Berlin Heidelberg New York 1982
Editors Heinz-~ietrich Ooebner Stig I. Andersson Institut fUr Theoretische Physik, Technische Universitat Clausthal 0-3392 Clausthal-Zellerfeld, FRG
Herbert Rainer Petry Institut fUr Theoretische Kernphysik der Universitat Bonn NuBallee 14-16,0-5300 Bonn, FRG
AMS Subject Classifications (1980): 53-06, 53G05, 55R05, 58-06, 58G40, 81 EXX, 81 G30, 81 G35, 83-06 ISBN 3-540-11197-2 Springer-Verlag Berlin Heidelberg New York ISBN 0-387-11197-2 Springer-Verlag New York Heidelberg Berlin
This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically those of translation, reprinting, re-use of illustrations, broadcasting, reproduction by photocopying machine or similar means, and storage in data banks. Under § 54 of the German Copyright Law where copies are made for other than private use, a fee is payable to "Verwertungsgesellschaft Wort", Munich. © by Springer-Verlag Berlin Heidelberg 1982
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PREFACE
The 1980 conference on "Differential Geometric Methods in Mathematical Physics" at the Technical University of Clausthal, FRG, was part of the by now fairly long series of conferences on similar themes. Initiated by K. Bleuler in 1973 (Bonn) and continued in Bonn (1975, 1977), Aix-en-Provence (1974, 1979), Warsaw (1976), Clausthal (1978) and Salamanca (1979), these conferences have gathered a large number of prominent researchers in this special branch of mathematics/mathematical physics. No doubt, these conferences have become something of an institution.
As a tribute to one of the initiators of this series of conferences, one session was dedicated to K. Bleuler on the occasion of his retirement. Additionally, the 1980 conference also pursued a more local, Clausthal tradition of summer schools and meetings on special problems in mathematical physics.
The topics covered in this year's conference and in the attached workshop which are included in this volume could, roughly speaking, be described by the following keywords: symplectic category, differential operators on manifolds and vector bundles, mathematics of (non-abelian) gauge fields, geometric quantization and asymptotic expansions, all of which are, of course, central issues in the contemporary differential geometric-biased approach to a variety of mathematical questions in classical and quantum physics. Notable achievements were, more specifically, reports on the
asym~totics
for spherical functions,
bifurcation theory, mathematical structure of gauge theories, spacetime geometry and representation theory. The editors rearet that due to a general editorial requirement of homogeneity in
a
lecture notes
volume, which applies also f
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