Objective "Finite dimensional approximation phenomenon is laying at the crossroads of graph theory, group theory and operator algebras. It helps to understand constant-time algorithms, von Neumann factors and several interesting conjectures on discrete groups.In a nutshell, finite dimensional approximation means that certain infinite structures, groups, graphs, measurable equivalence relations or algebras can be regarded as limits of finite or finite dimensional objects.Using the limit notions one can prove theorems in the finite world by looking at the limits, or prove theorems about infinite groups or infinite dimensional algebras by investigating the finite objects.The theory (and the proposal itself) is closely related to famous problems such asthe Atiyah Conjecture or the Connes Embedding Conjecture.Gabor Elek, the researcher in the proposal is an expert of this area and made successful research on various branches of finite dimensional approximation theory such as sofic groups, L2-invariants, profinite actions and hypergraph limits.He proposes to attack several problems of the area. His ultimate goal is to work out a general theory of the subject and to extend the scope of finite dimensional approximation theory to some new areas of mathematics.Elek currently holds a senior researcher position at the Alfred Renyi MathematicalInstitute of the Hungarian Academy of Sciences. If funded, he intends to build further connections between the Hungarian combinatorics school and European institutions." Fields of science natural sciencesmathematicspure mathematicsalgebranatural sciencesmathematicspure mathematicsmathematical analysisfunctional analysisoperator algebranatural sciencesmathematicspure mathematicsdiscrete mathematicsgraph theorynatural sciencesmathematicspure mathematicsdiscrete mathematicscombinatorics Programme(s) FP7-PEOPLE - Specific programme "People" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013) Topic(s) FP7-PEOPLE-2010-IEF - Marie-Curie Action: "Intra-European fellowships for career development" Call for proposal FP7-PEOPLE-2010-IEF See other projects for this call Funding Scheme MC-IEF - Intra-European Fellowships (IEF) Coordinator ECOLE POLYTECHNIQUE FEDERALE DE LAUSANNE EU contribution € 240 705,00 Address BATIMENT CE 3316 STATION 1 1015 Lausanne Switzerland See on map Region Schweiz/Suisse/Svizzera Région lémanique Vaud Activity type Higher or Secondary Education Establishments Administrative Contact Nicolas Monod (Prof.) Links Contact the organisation Opens in new window Website Opens in new window Total cost No data