Objective
Research objectives and content
The notions of "minimality" have been introduced in Model Theory to provide natural setting for structures with "few" first-order definable subsets. The best known are strong minimality, and o-minimality. At an earlier state of development, C-minimality has been introduced by D. Macpherson and C. Steinhorn to provide a setting for algebraically closed valued fields, and has already nice applications to valued fields and groups. Using my background in Model Theory and Algebra, I would like to contribute to the development of the model theory of C-minimal structures. In particular, I plan to test variants of C-minimality for groups and ordered groups and to study problems of definability in valued fields. Training content (objective, benefit and expected impact)
Beyond the training on subjects like o-minimality and C-minimality, the aim is also to acquire skills about the use of automorphism groups and ordered permutation groups in Model Theory. This should give a new light to some problems which I had already study (particularly on ordered groups) as well as let me start on new problems in this prosperous domain.
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 discrete mathematics mathematical logic
- natural sciences mathematics pure mathematics algebra
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Programme(s)
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Funding Scheme
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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
LS2 9JT LEEDS
United Kingdom
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