Details of Grant 

EPSRC Reference:	GR/M64826/01
Title:	MODULAR INVARIANTS,OPERATOR ALGEBRAS AND QUOTIENT SINGULARITIES
Principal Investigator:	Reid, Professor M
Other Investigators:	Evans, Professor DE
Researcher Co-Investigators:
Project Partners:
Department:	Mathematics
Organisation:	University of Warwick
Scheme:	Standard Research (Pre-FEC)
Starts:	01 September 1999	Ends:	31 October 1999	Value (£):	7,314
EPSRC Research Topic Classifications:	Algebra & Geometry Mathematical Analysis Mathematical Physics
EPSRC Industrial Sector Classifications:	No relevance to Underpinning Sectors
Related Grants:
Panel History:
Summary on Grant Application Form
On the face of it, II_1 factors in operator algebras, modulant invariant partition functions in conformal field theory, finite subgroups of SU (n), and the resolution of their orbifolds are more-or-less unrelated topics. Nevertheless, their study leads to combinatorics displaying all kinds of analogies. Our SU (2) cases, along with many other areas of math, are governed by the famous ADE classification. Many workers over recent decades, pursuing quite separate ideas, have been interested in generalising to other cases, typically SU (3), and have again obtained results that look parallel when tabulated. There are clearly deep mechanisms underlying this parallelism, and digging these out is likely to lead to substantial progress across a wide spectrum of math and theoretical physics, areas of algebraic geometry.
Key Findings
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Organisation Website:	http://www.warwick.ac.uk