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
Fields of science (EuroSciVoc)
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
- natural sciences physical sciences classical mechanics fluid mechanics fluid dynamics
- natural sciences mathematics pure mathematics geometry
- natural sciences mathematics applied mathematics mathematical physics conformal field theory
- natural sciences mathematics pure mathematics discrete mathematics combinatorics
- natural sciences physical sciences theoretical physics
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Keywords
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
Programme(s)
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Topic(s)
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Call for proposal
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
FP6-2002-MOBILITY-1
See other projects for this call
Funding Scheme
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Coordinator
TRIESTE
Italy
The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.