Obiettivo "The solution of Tarski's problems on the first-order theory of freegroups has uncovered deep connections between Model Theory, Geometryand Group Theory and served as a nexus and motivation for manyclassical results in Geometric Group Theory and Theoretical ComputerScience.Just as the Tarski problems connected the theory of free groups withthe geometry of trees, our goal is to point at a new direction inGroup Theory and develop appropriate generalisations of the techniquesand results whose nature is based on the geometry of higherdimensional counterparts of trees and interplays with the theory ofpartially commutative groups, notably the theory of groups acting onreal cubings.We then shall apply these tools to approach fundamental questions inthe model theory of partially commutative groups: classify finitelygenerated groups elementarily equivalent to a given partiallycommutative group and prove decidability and stability of theirfirst-order theory." Campo scientifico natural sciencesmathematicspure mathematicsdiscrete mathematicsmathematical logicnatural sciencescomputer and information sciencescomputational sciencenatural sciencesmathematicspure mathematicsgeometry Programma(i) 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) Argomento(i) ERC-SG-PE1 - ERC Starting Grant - Mathematical foundations Invito a presentare proposte ERC-2013-StG Vedi altri progetti per questo bando Meccanismo di finanziamento ERC-SG - ERC Starting Grant Istituzione ospitante UNIVERSIDAD DEL PAIS VASCO/ EUSKAL HERRIKO UNIBERTSITATEA Contributo UE € 1 021 216,80 Indirizzo BARRIO SARRIENA S N 48940 Leioa Spagna Mostra sulla mappa Regione Noreste País Vasco Bizkaia Tipo di attività Higher or Secondary Education Establishments Contatto amministrativo Charo Sánchez (Ms.) Ricercatore principale Ilya Kazachkov (Dr.) Collegamenti Contatta l’organizzazione Opens in new window Sito web Opens in new window Costo totale Nessun dato Beneficiari (1) Classifica in ordine alfabetico Classifica per Contributo UE Espandi tutto Riduci tutto UNIVERSIDAD DEL PAIS VASCO/ EUSKAL HERRIKO UNIBERTSITATEA Spagna Contributo UE € 1 021 216,80 Indirizzo BARRIO SARRIENA S N 48940 Leioa Mostra sulla mappa Regione Noreste País Vasco Bizkaia Tipo di attività Higher or Secondary Education Establishments Contatto amministrativo Charo Sánchez (Ms.) Ricercatore principale Ilya Kazachkov (Dr.) Collegamenti Contatta l’organizzazione Opens in new window Sito web Opens in new window Costo totale Nessun dato