Objective "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." Fields of science natural sciencesmathematicspure mathematicsdiscrete mathematicsmathematical logicnatural sciencescomputer and information sciencescomputational sciencenatural sciencesmathematicspure mathematicsgeometry 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-2013-StG See other projects for this call Funding Scheme ERC-SG - ERC Starting Grant Host institution UNIVERSIDAD DEL PAIS VASCO/ EUSKAL HERRIKO UNIBERTSITATEA EU contribution € 1 021 216,80 Address BARRIO SARRIENA S N 48940 Leioa Spain See on map Region Noreste País Vasco Bizkaia Activity type Higher or Secondary Education Establishments Administrative Contact Charo Sánchez (Ms.) Principal investigator Ilya Kazachkov (Dr.) Links Contact the organisation Opens in new window Website Opens in new window Total cost No data Beneficiaries (1) Sort alphabetically Sort by EU Contribution Expand all Collapse all UNIVERSIDAD DEL PAIS VASCO/ EUSKAL HERRIKO UNIBERTSITATEA Spain EU contribution € 1 021 216,80 Address BARRIO SARRIENA S N 48940 Leioa See on map Region Noreste País Vasco Bizkaia Activity type Higher or Secondary Education Establishments Administrative Contact Charo Sánchez (Ms.) Principal investigator Ilya Kazachkov (Dr.) Links Contact the organisation Opens in new window Website Opens in new window Total cost No data
