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Applications of Sheaves

Posted By: ChrisRedfield
Applications of Sheaves

M. P. Fourman, ‎C. J. Mulvey, ‎Dana S. Scott - Applications of Sheaves
Published: 1979-10-01 | ISBN: 3540095640, 0387095640 | PDF | 779 pages | 29 MB


The present volume is the published proceedings of a research symposium that took place in mid-July of 1977 at the University of Durham. This was the eighth of a continuing series of such symposia sponsored by the London Mathematical Society and supported by the Science Research Council. There were nine working days between Sunday, 10 July and Wednesday, 20 July, inclusive, with a two-day break for excursions and to observe the Durham Miners' Gala. Durham, city and university, proved to be a most pleasant site for this meeting. There were 77 participants from 13 countries; a list of their names and addresses will be found at the end of the volume. There were 22 talks, formal and informal, during the first week and 36 during the second; some of these were half-hour talks. Splinter groups were also formed and there was much opportunity for private discussion. The published record cannot cover everything that happened at such a meeting, and the editors regret that not everyone was able to contribute a manuscript. A detailed listing of the programme of the symposium is appended to th~s introduction. The opening talk by John Gray on the history of sheaf theory, taken from the extensive report which he has prepared for this volume, was an excellent survey of the genesis of the ideas of sheaf theory. Not only was this a very appropriate opening of the meeting, but the great amount of bibliographical work done by Gray for this report will be much appreciated by students and researchers for a long time. It was the aim of the organisers of the symposium to bring together workers from logic, algebra, algebraic geometry, analysis, topology, category theory, and, as it happened, physics, where the notions of sheaf theory have found application, in order to encourage more cross-fertilisation between different fields. We had hoped to have greater representation from algebraic geometry and analysis, but in all the coverage of these various fields was quite satisfactory and the symposium was regarded by the participants as most stimulating and successful. The editors hope that this volume not only surveys the past but also presents a reasonably fair picture of present work and directions for future research. Warm thanks are due to the participants, many of whom gave expository talks at the symposium, and to the contributors for their care in trying to fill in the picture in such a way that communication of ideas from different parts of mathematics can be facilitated. With the exception of the survey by Gray, with which it seems fit to begin this volume, the papers contributed are presented alphabetically by author.
The financial support of the London Mathematical Society and the Science Research Council is very gratefully acknowledged, as well as the practical support of the staff of the Mathematics Department of the University of Durham and Grey College. Professor T.J. Wilmore of Durham took a very active interest in the symposium from inception, and all his help with the many details is very much appreciated. The formal organisers of the symposium were Professor Wilmore and the umders~gned. We wish to thank all the participants for making this an enjoyable task. In particular, thanks are due to the scientific steering committee, comprised of Lawvere~ Hofmann and Reyes, for their invaluable advice. The help of the referee appointed by the London Mathematical Society was also much appreciated. It is our sad duty to report the sudden and untimely death during the summer of ]978 of one of the younger participants of the symposium: George Loullis. He will be very much missed by his friends and colleagues, and his passing casts a shadow on the memory of a happy and intensive working period we all shared at Durham.