Objective
Algebraic K-theory is a strong international area of activity, with both hard problems and interaction with many areas of mathematics, for example cohomology and classical groups. NIS research teams are particularly strong in this area, and exchanges between NIS and West European participants will strengthen research in these fields.
The application of categorical methods has become stronger over recent years, and is expected to produce new methods and results in homological algebra and K-theory. Two newer aspects are non-abelian methods, the use of internal groupoids and their higher dimensional generalizations for local-to-global problems and the realization that these enhance computational aspects.
This project will stimulate interaction between these areas and will form a basis for future collaboration. It is expected that some of the conjectures in the field of K-theory will be resolved, as detailed above. In local-to-global methods and internal groupoids, new relations are expected between generalised van Kampen theorems, the theory of descent and the notions of holonomy and monodromy groupoids which arise in differential topology. In non-abelian homological algebra new tools are expected in the shape of constructions of tensor products of forms of crossed complexes (for example, in the area of commutative algebra) and also the notion of crossed differential algebra in these contexts.
Fields of science (EuroSciVoc)
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Programme(s)
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Topic(s)
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.
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.
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.
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Coordinator
LL57 1UT Bangor
United Kingdom
The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.