EPSRC Reference: 
GR/S48424/01 
Title: 
Hierachies of Integrable Partial Differential Equations and GomovWitten Invariants 
Principal Investigator: 
Mazzocco, Professor M 
Other Investigators: 

Researcher CoInvestigators: 

Project Partners: 

Department: 
Pure Maths and Mathematical Statistics 
Organisation: 
University of Cambridge 
Scheme: 
First Grant Scheme PreFEC 
Starts: 
01 February 2004 
Ends: 
31 January 2005 
Value (£): 
114,120

EPSRC Research Topic Classifications: 
Algebra & Geometry 
Mathematical Physics 
Numerical Analysis 


EPSRC Industrial Sector Classifications: 
No relevance to Underpinning Sectors 


Related Grants: 

Panel History: 

Summary on Grant Application Form 
Physical phenomena are generally described by differential equations. These are usually very difficult or impossible to solve. Nevertheless there is a special class of differential equations which are solvable in some sense. They are called integrable. When we manage to describe a physical phenomenon by an integrable differential equation we can understand and often predict its behaviour. Topological Quantum Field Theory is derived from a physical theory that incorporates general relativity and quantum physics. It can be tested on pure mathematical objects and we plan to prove a conjecture originating with the physicist Witten. The structure of the project involves the joint effort of three mathematicians, Dr M. Mazzocco (Cambridge University) as Principal Investigator, Prof. Y. Shang (Tsinghua University, China) as a Visiting Fellow and Dr G. Carlet (SISSA, Trieste, Italy) as a Research Assistant. The total amount needed is 111,568.

Key Findings 
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Potential use in nonacademic contexts 
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Impacts 
Description 
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Summary 

Date Materialised 


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Project URL: 

Further Information: 

Organisation Website: 
http://www.cam.ac.uk 