Objective The project is located between logic and mathematics, more precisely between model theory and group theory. There are extremely difficult questions arising about the model theory of groups, notably the question of the construction of new groups with prescribed algebraic properties and at the same time good model-theoretic properties. In particular, it is an important question, both in model theory and in group theory, to build new stable groups and eventually new nonalgebraic groups with a good dimension notion.The present project aims at filling these gaps. It is divided into three main directions. Firstly, it consists in the continuation of the classification of groups with a good dimension notion, notably groups of finite Morley rank or related notions. Secondly, it consists in a systematic inspection of the combinatorial and geometric group theory which can be applied to build new groups, keeping a control on their first order theory. Thirdly, and in connection to the previous difficult problem, it consists in a very systematic and general study of infinite permutation groups. Fields of science natural sciencesmathematicspure mathematicsdiscrete mathematicsmathematical logic Programme(s) FP7-IDEAS-ERC - Specific programme: "Ideas" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013) Topic(s) ERC-SG-PE1 - ERC Starting Grant - Mathematical foundations Call for proposal ERC-2011-StG_20101014 See other projects for this call Funding Scheme ERC-SG - ERC Starting Grant Coordinator CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS Address Rue michel ange 3 75794 Paris France See on map Region Ile-de-France Ile-de-France Paris Activity type Research Organisations Principal investigator Eric Herve Jaligot (Prof.) Administrative Contact Guillaume Rochet (Mr.) Links Contact the organisation Opens in new window Website Opens in new window EU contribution No data Beneficiaries (1) Sort alphabetically Sort by EU Contribution Expand all Collapse all CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS France EU contribution € 366 597,60 Address Rue michel ange 3 75794 Paris See on map Region Ile-de-France Ile-de-France Paris Activity type Research Organisations Principal investigator Eric Herve Jaligot (Prof.) Administrative Contact Guillaume Rochet (Mr.) Links Contact the organisation Opens in new window Website Opens in new window Other funding No data
