ENIGMA
European Network in Geometry,
Mathematical Physics and Applications
Enigma is a
Marie Curie Research Training Network,
supported by the European Commission under
the Sixth Framework Programme (FP6)
Contract number : MRTN-CT-2004-5652
Geometry traditionally plays 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. For example:
- the Korteweg- de Vries
equation works not only in the theory of weakly dispersive
nonlinear waves but also in two-dimensional quantum gravity as well
as in the geometry of moduli spaces of algebraic curves.
-
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, 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, play a leading
role in this research.
The project aims to create a fertile research and
training environement for scientists working in the fields of
Geometry, Mathematical Physics, and Applications to Physics, within a
European Network on Integrability, Geometry, Matrix models and Applied mathematics.
The network comprises
10 partner nodes from 7 European Countries:
-
SISSA
(*)
Scuola Internazionale Superiore di Studi Avanzati: Mathematical Physics Sector
-
ETH Zurich
Swiss Federal Institute of Technology Zurich: Department of Mathematics
-
UOXF.BK
The Chancellor, Masters and Scholars of the University of Oxford:
Mathematical Institute
-
UPMC
Université Pierre et Marie Curie: Laboratoire de Physique Théorique et des Hautes Energies
(CNRS-UMR 7589)
-
UCL
Université Catholique de Louvain:
Mathematic Department
-
KTH
Kungliga Tekniska Hogskolan:
KTH Mathematics
-
Imperial College
of Science, Technology and Medicine:
Mathematics Department
-
ENS
École Normale Supérieure:
Department de Mathématique Pure et Appliqueé (CNRS-UMR 8553)
-
LU
Loughborough University:
Department of Mathematical Sciences
-
TU Berlin
Technische Universitat Berlin:
Mathematisches Institut, Fakultaet 2
(*): Coordinating Institution
Active collaboration from other working groups and individuals is expected
throughout the network's activity, which will last 48 months starting from
January, 1st 2005
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