Details of Grant 

EPSRC Reference:	GR/R05093/01
Title:	Frobenius Manifolds:Submanifolds, the Isomonodromic Tau-Function and Deformations of Hydrodynamic Systems
Principal Investigator:	Strachan, Professor I
Other Investigators:
Researcher Co-Investigators:
Project Partners:
Department:	Mathematics
Organisation:	University of Hull
Scheme:	Standard Research (Pre-FEC)
Starts:	01 January 2002	Ends:	31 August 2003	Value (£):	72,048
EPSRC Research Topic Classifications:	Mathematical Physics Non-linear Systems Mathematics
EPSRC Industrial Sector Classifications:	No relevance to Underpinning Sectors
Related Grants:
Panel History:	Panel Date Panel Name Outcome 07 Jul 2000 Mathematics Responsive Mode 3/99 Deferred
Summary on Grant Application Form
The research aims to increase the understanding of the mathematical properties of Frobenius manifolds and their associated algebraic and geometric structures, in particular, this includes:(i) the development of the theory of sub-Frobenius manifolds and the construction of examples based on the foldings of Coxeter groups. The connections between sub-Frobenius manifolds and the singularities and zeros of the isomonodromic tau-function;(ii) the construction of solutions to Getzler's equations for semi-simle Frobenius manifolds and the connection to the isomonodromic tau-function and the deformation of certain hydrodynamic system(iii) the understanding of the nature of the obstruction to the integrable deformation of general hydrodynamic systems.Longer term objectives are to develop a consistent theory of integrable solitonic systems based on the deformation of hydrodynamic systems. It is expected that the obstruction to the deformation of such a system will be cohomological in nature, and that the existence of an integrable solitonic system may be formulated in terms of the vanishing of a cohomology group.
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Organisation Website:	http://www.hull.ac.uk