Details of Grant 

EPSRC Reference:	GR/R91151/01
Title:	Local representation theory in the symmetric groups
Principal Investigator:	Chuang, Professor J
Other Investigators:	Rickard, Professor J
Researcher Co-Investigators:
Project Partners:
Department:	Mathematics
Organisation:	University of Bristol
Scheme:	Standard Research (Pre-FEC)
Starts:	01 October 2002	Ends:	30 September 2005	Value (£):	143,257
EPSRC Research Topic Classifications:	Algebra & Geometry
EPSRC Industrial Sector Classifications:	No relevance to Underpinning Sectors
Related Grants:
Panel History:	Panel Date Panel Name Outcome 28 Feb 2002 Mathematics Prioritisation Panel Feb 02 Deferred
Summary on Grant Application Form
Broue's abelian defect group conjecture is one of the most important and intriguing open problems in the representation theory of finite groups. In the course of finding character-theoretic evidence for this conjecture, Rouquier identified some blocks of the symmetric groups which he believed should have special properties. In the last two years these Rouquier blocks have played a starring role in exciting progress in a variety of areas in representation theory.: Broue's conjecture, decomposition numbers for the symmetric groups, and canonical bases for quantum groups.The purpose of the proposed project is to complete a proof of Broue's conjecture for the symmetric groups via Rouquier blocks with abelian defect group and to give a local description of Rouquier blocks with nonabelian defect group. We expect to gain insight into fundamental questions: the calculation of decomposition numbers for the symmetric groups and the formulation of a generalisation of Broue's conjecture for arbitary blocks of finite groups.
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Organisation Website:	http://www.bris.ac.uk