PCG

The Elementary Theory of Partially Commutative Groups

Coordinatore	UNIVERSIDAD DEL PAIS VASCO/ EUSKAL HERRIKO UNIBERTSITATEA    more Spiacenti, non ci sono informazioni su questo coordinatore. Contattare Fabio per maggiori infomrazioni, grazie.
Nazionalità Coordinatore	Spain [ES]
Totale costo	1˙021˙216 €
EC contributo	1˙021˙216 €
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-2013-StG
Funding Scheme	ERC-SG
Anno di inizio	2014
Periodo (anno-mese-giorno)	2014-09-01   -   2019-08-31

 Partecipanti

#	participant	country	role	EC contrib. [€]
1	UNIVERSIDAD DEL PAIS VASCO/ EUSKAL HERRIKO UNIBERTSITATEA  Organization address address: BARRIO SARRIENA S N city: LEIOA postcode: 48940 contact info Titolo: Dr. Nome: Ilya Cognome: Kazachkov Email: send email Telefono: 34654494857 Fax: 34946012516	ES (LEIOA)	hostInstitution	1˙021˙216.80
2	UNIVERSIDAD DEL PAIS VASCO/ EUSKAL HERRIKO UNIBERTSITATEA  Organization address address: BARRIO SARRIENA S N city: LEIOA postcode: 48940 contact info Titolo: Ms. Nome: Charo Cognome: Sánchez Email: send email Telefono: 34946012142 Fax: 34946013550	ES (LEIOA)	hostInstitution	1˙021˙216.80

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 Obiettivo del progetto (Objective)

'The solution of Tarski's problems on the first-order theory of free groups has uncovered deep connections between Model Theory, Geometry and Group Theory and served as a nexus and motivation for many classical results in Geometric Group Theory and Theoretical Computer Science.

Just as the Tarski problems connected the theory of free groups with the geometry of trees, our goal is to point at a new direction in Group Theory and develop appropriate generalisations of the techniques and results whose nature is based on the geometry of higher dimensional counterparts of trees and interplays with the theory of partially commutative groups, notably the theory of groups acting on real cubings.

We then shall apply these tools to approach fundamental questions in the model theory of partially commutative groups: classify finitely generated groups elementarily equivalent to a given partially commutative group and prove decidability and stability of their first-order theory.'