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Details of Grant 

EPSRC Reference: GR/S98429/01
Title: Topological Solitions and their Applications: 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 2004 Ends: 29 April 2005 Value (£): 54,681
EPSRC Research Topic Classifications:
Algebra & Geometry Condensed Matter Physics
Mathematical Analysis Mathematical Physics
Theoretical biology
EPSRC Industrial Sector Classifications:
No relevance to Underpinning Sectors
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Summary on Grant Application Form
Topological solitons are solutions of systems of partial differential equations representing stable structures which are localised in space, with their stability being due (in part) to non-trivial topology. Their mathematical investigation has proceeded alongside the search for applications in the descriptions of numerous processes and phenomena in physics and biology. New analytic/geometrical techniques and greater computing power have enabled multi-dimensional structures to be studied.It is proposed to hold a 10-day symposium in this area at the University of Durham, organised by R.S. Ward (Durham), W.J. Zakrzewski (Durham) and L.Brizhik (Kiev).The symposium will build on a previous one held in 1998, organised by Ward and Zakrzewski, but it will concentrate on new developments. There will be five principal topics:Planar skyrmions and their applications to condensed-matter physics; Three-dimensional skyrmions and their applications to nuclear physics; Topological structures in biophysics and biology; Relation to BPS monopoles and non-topological solitons; Relation to solitons in integrable systems.There has been recent highly-significant progress in each area, and further results can be expected in the period leading up to the symposium. Some of these topics fit in extremely well with important UK research work, while it is hoped that others will spur interest and activity in topics in which at present there is less expertise in the UK.
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