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Details of Grant 

EPSRC Reference: GR/T28454/01
Title: Operator Theory and Spectral Analysis: An LMS Durham Research Symposium
Principal Investigator: Bolton, Dr J
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Department: Mathematical Sciences
Organisation: Durham, University of
Scheme: Standard Research (Pre-FEC)
Starts: 30 June 2005 Ends: 29 April 2006 Value (£): 53,517
EPSRC Research Topic Classifications:
Mathematical Analysis
EPSRC Industrial Sector Classifications:
No relevance to Underpinning Sectors
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Summary on Grant Application Form
Spectral theory is a wide and intensively developing branch of modern analysis. It has applications ranging from number theory and geometry to mathematical physics and mechanics. Conversely, the study of the spectral properties of operators has benefited from the use of concepts and results originally developed in number theory, algebra, geometry, function theory, harmonic analysis, microlocal analysis and other purer mathematical disciplines.Remarkable progress in spectral theory and its applications has been achieved both in the UK and worldwide in many directions. Many mathematicians feel that there is an acute need to bring together top researchers, representing a wide spectrum of interests in the field, for a high-level international interdisciplinary meeting.This proposal concerns the organising by E.B. Davies, Yu. Safarov and E. Shargorodsky (King's College London) of a 10-day LMS Durham Symposium which aims to achieve this.The main topics selected are: spectral analysis of differential operators, random operators and matrices, non-self-adjoint operators, computational spectral analysis, nonlinear analysis, and applied spectral problems.These fields have well established links with each other, and the programme of the proposed Symposium will build upon these. The main emphasis however will be placed on new problems which require applications of one area to another and on emerging, often unexpected, new connections between the fields covered by the programme.
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