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European Network In Geometry, Mathematical Physics, and Applications

Objective

Geometry traditionally played a central role in the mathematical formalism of physics. The relationships between geometry and mathematical physics received a great impetus from the discovery of the integrability phenomenon. This conceptual breakthrough produced many exciting new ideas in mathematics and physics during the last 35 years. Geometry and mathematical physics grew even closer after the discovery that the Korteweg - de Vries equation plays a fundamental role in the matrix and topological models of two-dimensional quantum gravity and the geometry of the moduli spaces of stable algebraic curves. Moreover the genus expansion of the partition functions of 2D topological field theories is intimately related to the weak dispersion expansion in the theory of nonlinear waves. The study of the geometric structure of asymptotic solutions of classical and quantum systems, both discrete and continuous, will lead to applications to physical problems. Matrix integrals, introduced in the statistics of nuclear energy levels, proved to be connected with quantum gravity, conformal field theory, solutions of soliton equations, moduli spaces of algebraic curves and vector bundles, singularity theory, Gromow-Witten invariants. Random matrices and random permutation problems, including certain stochastic processes, have also appeared on the scene in relation with sorting problems in combinatorics, multivariate statistics and growth models. European scientists, so far scattered all over Europe, have played and continue to play a leading role in this research. The main scope of the ENIGMA Programme is to establish a European Network on Integrability, Geometry, Matrix models and Applied mathematics, to provide a fruitful training ground for students and young researchers, by unifying the European efforts on this exciting interdisciplinary, well-focused project

Call for proposal

FP6-2002-MOBILITY-1
See other projects for this call

Funding Scheme

RTN - Marie Curie actions-Research Training Networks

Coordinator

SCUOLA INTERNAZIONALE SUPERIORE DI STUDI AVANZATI
Address
Via Beirut 2-4
Trieste
Italy

Participants (9)

ECOLE NORMALE SUPÉRIEURE
France
Address
45 Rue D'ulm
Paris
EIDGENOESSISCHE TECHNISCHE HOCHSCHULE ZÜRICH
Switzerland
Address
Raemistrasse 101
Zürich
IMPERIAL COLLEGE OF SCIENCE, TECHNOLOGY AND MEDICINE
United Kingdom
Address
Exhibition Road
London
KUNGLIGA TEKNISKA HÖGSKOLAN
Sweden
Address
Valhallavägen 79
Stockholm
LOUGHBOROUGH UNIVERSITY
United Kingdom
Address
Ashby Road
Loughborough
TECHNISCHE UNIVERSITÄT BERLIN
Germany
Address
Strasse Des 17. Juni 135
Berlin
THE CHANCELLOR, MASTERS AND SCHOLARS OF THE UNIVERSITY OF OXFORD
United Kingdom
Address
University Offices, Wellington Square
Oxford
UNIVERSITE PIERRE ET MARIE CURIE
France
Address
4 Place Jussieu
Paris
UNIVERSITÉ CATHOLIQUE DE LOUVAIN
Belgium
Address
Place De L'université, 1
Louvain-la-neuve