Objective European scientists have played leading roles in many of the most exciting recent discoveries in the interaction between operator algebras, geometry, topology, algebraic geometry and quantum groups in pure mathematics and algebraic and conformal field theory, string theory, statistical mechanics in theoretical physics. The primary objective of this Research Training Network is to ensure that there is a new generation of young researchers in Europe with sufficient breadth of knowledge and training required for this interdisciplinary research. This will be achieved through bringing them to the cutting edge of research across a broad front including the following Research Objectives: 1. Operator-algebras classification and structure 2. measure and isomorphism rigidity 3. free probability and random matrices 4. KK-theory and applications 5. cyclic theory and index theory 6. interplay between harmonic analysis and topology 7. quantum groups 8. applications to number theory 9. algebraic quantum field theory 10. fuzzy physics 11. strings and non-commutative geometry 12. quantum dynamics, quantum spin systems, quantum information The unifying mathematical concept behind the programme is the use of noncommutative operator algebras and noncommutative geometry to understand singular spaces or quantum spaces, replacing classical topological or measure spaces and the associated commutative algebras of continuous or measurable functions with noncommutative algebras of operators. Bringing together groups in Europe having a common goal in pursuing the deep connections between various branches of mathematics and physics we plan to address their conjectures and problems through a training network preparing young researchers equipped to work in operator algebras and noncommutative geometry. Fields of science natural sciencesmathematicspure mathematicsalgebracommutative algebra Keywords Baum-Connes conjecture C*-algebras K- and KK-theory Noncommutative geometry algebraic QFT fuzzy physics operator algebras quantum groups quantum space-time strings von Neumman algebras Programme(s) FP6-MOBILITY - Human resources and Mobility in the specific programme for research, technological development and demonstration "Structuring the European Research Area" under the Sixth Framework Programme 2002-2006 Topic(s) MOBILITY-1.1 - Marie Curie Research Training Networks (RTN) Call for proposal FP6-2005-MOBILITY-1 See other projects for this call Funding Scheme RTN - Marie Curie actions-Research Training Networks Coordinator CARDIFF UNIVERSITY EU contribution No data Address Newport Road 30-36 CARDIFF United Kingdom See on map Links Website Opens in new window Total cost No data Participants (10) Sort alphabetically Sort by EU Contribution Expand all Collapse all DUBLIN INSTITUTE FOR ADVANCED STUDIES Ireland EU contribution No data Address Burlington Road 10 DUBLIN See on map Links Website Opens in new window Total cost No data KOBENHAVNS UNIVERSITET Denmark EU contribution No data Address Noerregade 10 KOBENHAVN See on map Links Website Opens in new window Total cost No data SYDDANSK UNIVERSITET. Denmark EU contribution No data Address Campusvej, 55 ODENSE See on map Links Website Opens in new window Total cost No data UNIVERSITA DEGLI STUDI DI ROMA TOR VERGATA Italy EU contribution No data Address Via Orazio Raimondo 18 ROMA See on map Links Website Opens in new window Total cost No data UNIVERSITETET I OSLO Norway EU contribution No data Address Problemveien 5-7 1072 OSLO See on map Total cost No data CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE (CNRS) France EU contribution No data Address Rue Michel-Ange 3 PARIS See on map Links Website Opens in new window Total cost No data WESTFAELISCHE WILHELMS - UNIVERSITAET MUENSTER Germany EU contribution No data Address Schlossplatz 2 MUENSTER See on map Links Website Opens in new window Total cost No data KATHOLIEKE UNIVERSITEIT LEUVEN Belgium EU contribution No data Address Oude Markt 13 LEUVEN See on map Links Website Opens in new window Total cost No data ERWIN SCHROEDINGER INSTITUT FUER MATHEMATISCHE PHYSIK - ESI Austria EU contribution No data Address Boltzmanngasse 9 VIENNA See on map Links Website Opens in new window Total cost No data INSTITUTUL DE MATERMATICA "SIMION STOILOW" AL ACADEMIEI ROMANE Romania EU contribution No data Address Calea Grivitei 21 PO Box 1-764 BUCURESTI See on map Links Website Opens in new window Total cost No data
