Objective
The proposed research is in the representation theory of finite groups and algebras and consists of two parts: one focusing on the finite groups of Lie type and their associated algebras, the other part involving the study of Steenrod algebras with the help of A-infinity algebras. In the context of finite groups of Lie type, we propose to show Cabanes-Rickard and apos;s conjecture on Alvis-Curtisduality, beginning with some specific cases. My thesis contains the original construction of a complex H of Hecke algebras of type A, which was shown to induce a derived equivalence; for general linear groups H is linked to the complex inducing the Âlvis-Curtis duality. One research goal is to show that H induces a homotopy equivalence.
But more importantly, one can construct a graded algebra S with the aid of H and relate it via the index representation of the Hecke algebra to the q-Schur algebra. Thus S is a new algebra related to a well-known algebra, making it a most interesting new object. The programme will be hosted b y Dr. Karin Erdmann at the Mathematical Institute, University of Oxford, who is an expert on algebras of this type. Finally, we would study the structure of the group cohomology over the Steenrod algebra and define that structure in a purely algebraic way in terms of the group algebra, with aid of A-infinity algebras. In addition to fostering the development of a young researcher, this programme would reinforce research ties between France and England.
Fields of science (EuroSciVoc)
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
- natural sciences mathematics applied mathematics dynamical systems
- natural sciences mathematics pure mathematics algebra
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Programme(s)
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Topic(s)
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Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Call for proposal
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Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
FP6-2002-MOBILITY-5
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Funding Scheme
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Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Coordinator
OXFORD
United Kingdom
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