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Details of Grant 

EPSRC Reference: GR/S13521/01
Title: Applications of Frobenius Homomorphisms
Principal Investigator: Rees, Professor EG
Other Investigators:
Researcher Co-Investigators:
Project Partners:
Department: Sch of Mathematics
Organisation: University of Edinburgh
Scheme: Standard Research (Pre-FEC)
Starts: 01 August 2003 Ends: 31 July 2006 Value (£): 9,616
EPSRC Research Topic Classifications:
Algebra & Geometry
EPSRC Industrial Sector Classifications:
No relevance to Underpinning Sectors
Related Grants:
Panel History:  
Summary on Grant Application Form
The aim is to continue a very fruitful collaboration on the properties of Frobenius homomorphisms. The basic theory is now almost in place so the main emphasis will be on applications.The Second Fundamental Theorem for the symmetric group acting on several copies of the fundamental representation. Development of an algorithm for deciding when a homogeneous form splits as the product of linear factors.Formulation of explicit equations for the symmetric product of algebraic curves and applications to the study of integrable systems. Finding applications of non-commutative versions of the theory of Frobenius homomorphisms.
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