Objective
The overall goal of this proposal is a systematic study of C*-algebras related to coarse structures of metric spaces and discrete groups. The background theme is the interplay between analysis and coarse geometry. It addresses questions relating to exactness of discrete groups and spaces, Roe algebras and the Baum--Connes conjectures.
The interplay between coarse and analytic properties is exemplified by the first objective: computing the nuclear dimension of Roe algebras in terms of asymptotic dimension of the underlying space. Nuclear dimension of C*-algebras is a recent notion that plays a tremendous role in Elliott's Classification Program of C*-algebras. The motivation for this objective is to systematically study the parallels between C*-algebraic methods of the Classification Program and topological and K-theoretic methods used for Novikov-type conjectures.
The second objective is to expand the techniques from Geometric Group Theory to produce a concrete example of a non-exact group. So far the only such examples are shown to exist by probabilistic methods, after an outline by M. Gromov. As non-exactness is highly relevant for (the potential failure of) the Baum-Connes conjecture, having concrete examples to study would be paradigm-shifting. The idea for such a construction is to generalize the small cancellation theory to a coarse setting.
The last objective is to prove the Baum-Connes conjecture for certain limits of hyperbolic groups, using the quantitative K-theory of Oyono-Oyono and Yu. Since most of the examples of discrete groups with unusual properties (e.g. non-exact) are constructed as such limits, showing that some of them do satisfy the conjecture is desirable.
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: https://op.europa.eu/en/web/eu-vocabularies/euroscivoc.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: https://op.europa.eu/en/web/eu-vocabularies/euroscivoc.
- natural sciences mathematics pure mathematics 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.
FP7-PEOPLE-2013-CIG
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.
MC-CIG - Support for training and career development of researcher (CIG)
Coordinator
SO17 1BJ SOUTHAMPTON
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.