Objective
Noncommutative geometry grew out of a fusion of operator algebras and differential geometry. In the latter, spaces are thought of as sets of points and functions on them are auxiliary objects. Noncommutative geometry inverts this picture by placing the abs tract concept of functions at the centre of the theory and making a generalised space a derived notion. In the spirit of the Gelfand-Naimark theorem establishing the equivalence of commutative C*-algebras and locally compact Hausdorff spaces, the generali sed spaces given by noncommutative algebras are called noncommutative or quantum spaces. This opens up the world of naturally occurring examples of quantum spaces and turns out to be extremely helpful in studying some particularly difficult spaces, e.g. s paces of foliations, where standard techniques do not work. The main goal of this noncommutative geometry project is the comparison study and applications of Hopf-cyclic cohomology with general coefficients and the Chern-Galois character. These new methods should be compared and related both abstractly and in examples. They are purported to enhance the applicability of the celebrated index formula in computing invariants of K-theory. The project strategy is to continue exploiting the mutual feedback between algebra and analysis and between theory and examples. The aforementioned newly developed tools are examples of the successful implementation of this strategy during the applicant\"s Marie Curie fellowship. Broad and intensive collaboration as well as effe ctive import of expertise are very much needed to carry out this project. Therefore, taking into account that the particular structure of research financing in Poland hinders the international collaboration of Polish scientists, obtaining European funds is of great importance to achieve the successful re-integration of the applicant in his home country and improve his professional career opportunities.
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 pure mathematics algebra
- natural sciences mathematics pure mathematics mathematical analysis functional analysis operator algebra
- natural sciences mathematics pure mathematics geometry
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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
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
FP6-2002-MOBILITY-11
See other projects for this call
Funding Scheme
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.
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
WARSAW
Poland
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.