Objective
In algebraic graph theory, the use of linear algebraic techniques applied to graphs consisting of vertices and edges, has been a major component in the study of strongly regular graphs; an area of modern mathematics which interests a wide variety of researchers.
Finite geometry is the study of incidence structures with a finite number of points, lines, planes, etc. The most important ambient objects are projective spaces, affine spaces, and polar spaces.
One of the dominant interests in recent times in finite geometry is in finding geometric models which yield strongly regular graphs and other important and related structures such as generalized quadrangles, (semi)partial geometries, and projective 2-weight codes.
Since the 1970's, geometers have not only succeeded in finding such rich models from polar spaces, but have also derived characterization and classification results, which give greater insight into this phenomena.
One of the central themes of this project is to introduce new techniques in order to complete these results and in particular to study the geometries arising from projecting a polar space embedded in a projective space onto a hyperplane of that space. The goal is to prove theorems in the same spirit as the ones that are known in the literature regarding a similar projection of generalized quadrangles.
Development of new techniques will be necessary, and in particular the use of group theory, the mathematical study of symmetry, will be utilised. Also included in this study is an investigation into embeddings of (semi)partial geometries into affine spaces, begun in the works of De Clerck, Delanote, De Winter, and De Feyter.
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 computer and information sciences software
- natural sciences mathematics pure mathematics algebra
- natural sciences mathematics pure mathematics geometry
- natural sciences mathematics pure mathematics discrete mathematics graph theory
You need to log in or register to use this function
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.
FP6-2005-MOBILITY-7
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.
IIF - Marie Curie actions-Incoming International Fellowships
Coordinator
GENT
Belgium
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.