GTMT

Group Theory and Model Theory

Coordinatore	CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE    more Spiacenti, non ci sono informazioni su questo coordinatore. Contattare Fabio per maggiori infomrazioni, grazie.
Nazionalità Coordinatore	France [FR]
Totale costo	366˙597 €
EC contributo	366˙597 €
Programma	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)
Code Call	ERC-2011-StG_20101014
Funding Scheme	ERC-SG
Anno di inizio	2011
Periodo (anno-mese-giorno)	2011-10-01   -   2013-12-31

 Partecipanti

#	participant	country	role	EC contrib. [€]
1	CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE  Organization address address: Rue Michel -Ange 3 city: PARIS postcode: 75794 contact info Titolo: Mr. Nome: Guillaume Cognome: Rochet Email: send email Telefono: +33 4 76881005 Fax: +33 4 76881174	FR (PARIS)	hostInstitution	366˙597.60
2	CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE  Organization address address: Rue Michel -Ange 3 city: PARIS postcode: 75794 contact info Titolo: Prof. Nome: Eric Herve Cognome: Jaligot Email: send email Telefono: +33 4 76514656 Fax: +33 4 76514478	FR (PARIS)	hostInstitution	366˙597.60

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 Obiettivo del progetto (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.'