Objective
Results involving all finitely generated groups are often of very little interest, and therefore combinatorial group theory concentrates on particular classes of groups. Hyperbolic groups form one of the classes that offer an extremely satisfactory compromise between interest and generality, as one can prove very precise structural results for such groups. In our project we propose to work on relatively hyperbolic groups, which are a generalisation of hyperbolic groups, and on some other questions involving the techniques and methods of the related theories. There are already several characterisations of relatively hyperbolic groups from different points of view, like dynamical or topological. One of the problems that we propose here is to give a cohomological characterisation of relatively hyperbolic groups, namely to study the relative bounded cohomology and to understand the connection between bounded cohomology and standard cohomology. Another problem we would like to work on involves relative metabolicity. It has been proved that relative metabolicity implies weak relative hyperbolicity. It would be an attractive result to strengthen this result, and to show that relative metabolicity actually implies relative hyperbolicity in the strong sense. The third problem is a natural continuation of an earlier work, and aims to find out which classes of finitely generated groups satisfy the "property of special symbol". This property was introduced in order to encode the action of relatively hyperbolic groups on their boundaries by means of symbolic dynamics. Finally, I would like to weaken the hypotheses of a recent result on configuration spaces and cocompact properly discontinuous group actions. This question and the methods to approach it involve the techniques that were used to give a dynamical characterisation of relatively hyperbolic groups. If the hypotheses are formulated in their greatest generality, this will be an attra
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 topology
- natural sciences mathematics pure mathematics geometry
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Keywords
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
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-5
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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
BELLATERRA
Spain
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.