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Noncommutative Geometry

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.

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
Address
Newport Road 30-36
Cardiff
United Kingdom

Participants (10)

DUBLIN INSTITUTE FOR ADVANCED STUDIES
Ireland
Address
Burlington Road 10
Dublin
KOBENHAVNS UNIVERSITET
Denmark
Address
Noerregade 10
Kobenhavn
SYDDANSK UNIVERSITET.
Denmark
Address
Campusvej, 55
Odense
UNIVERSITA DEGLI STUDI DI ROMA TOR VERGATA
Italy
Address
Via Orazio Raimondo 18
Roma
UNIVERSITETET I OSLO
Norway
Address
Problemveien 5-7
1072 Oslo
CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE (CNRS)
France
Address
Rue Michel-ange 3
Paris
WESTFAELISCHE WILHELMS - UNIVERSITAET MUENSTER
Germany
Address
Schlossplatz 2
Muenster
KATHOLIEKE UNIVERSITEIT LEUVEN
Belgium
Address
Oude Markt 13
Leuven
ERWIN SCHROEDINGER INSTITUT FUER MATHEMATISCHE PHYSIK - ESI
Austria
Address
Boltzmanngasse 9
Vienna
INSTITUTUL DE MATERMATICA "SIMION STOILOW" AL ACADEMIEI ROMANE
Romania
Address
Calea Grivitei 21
PO Box 1-764 Bucuresti