Objective
The study of discrete subgroups of complex hyperbolic isometries has been a growing research area for more than a decade although its origins can be found in the works of mathematicians of the 19th century. Many leading mathematicians were led to work in this area due to its fascinating and challenging research problems. This project is a part of a wider research programme whose goal is to understand the space of discrete representations of surface groups into the group of complex hyperbolic isometries. This goal is ambitious and will probably be achieved over a longer time scale than this project's duration. Therefore the objective of this programme is to make significant contributions to that wider plan and to answer natural questions arising, such as how can discrete representations be characterised or if the collection of discrete representations has an analytic structure.
At present there exist only a few techniques for constructing spaces of discrete groups of complex hyperbolic isometries and most of them just produce a method of constructing a fundamental domain. The missing ingredient for a further comprehensive treatment is the use of analytic tools, which will fill the gap to classify these representations, which are discrete and produce results analogous to those in the real hyperbolic case, or, determine where such techniques break down. John Parker, the scientist in charge, is an expert on discrete groups of complex hyperbolic isometries and loannis Platis, the participant researcher, is an expert on analytic techniques for describing spaces of discrete groups of real hyperbolic isometries. The potential of this project rests on their synergy in these techniques. This project, extending Platis's previous expertise will give him a broader research perspective. Direct contact with people working in related fields will provide him with knowledge and skills, which he can take back to Greece to strengthen the area there.
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.
- humanities history and archaeology history
- natural sciences mathematics pure mathematics geometry
- natural sciences mathematics pure mathematics algebra algebraic 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
DURHAM
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.