|
|
|
|
|
|
|
|
In the "Laboratoire Amiénois de Mathématiques Fondamentale et Appliquée" (FRE 2270 of CNRS, Délégation Nord-Pas de Calais-Picardie) work the mathematicians of the Picardie-Jules-Verne University. The LAMFA has six research groups: two of them have about ten members each, there are two more recently created teams of about 5 members each and there are two smaller groups. The research topics are finite reductive groups, Coxeter groups, real or complex reflexion groups, root systems, Hecke algebras and braid groups and homological properties of group and algebra representations. There is a weekly seminar in group theory. This research group is part of the CNRS network GDR "groupes géométrie et représentations" and GDR "tresses" . For graduate studies it is associated with the Paris 6 University. This group works on the following topics : - Non-linear elliptic and parabolic PDE's : systems of prey-predators, calculus of variations, homogenization, free boundary problems. - Evolution PDE's : Non-Linear Schrodinger, KdV, Navier-Stokes, Maxwell, asymptotic behaviors, blow-up phenomena. - Real harmonic analysis : singular integrals, Kato problem, wavelets, kernel and operator analysis. - Scientific computations : finite differences, mixt finite elements, methods without meshs. The A3 seminar and A3work shop meet weekly. A few one-day intezrnational conferences are organized each year Members of this team have official collaboration with foreign universities (action intégrée avec le Maroc, convention CNRS avec le Maroc) For graduate studies, this group participates to the DEA d'analyse appliquée of the Université de Picardie Jules Verne in Amiens. The research topics are : dynamical systems (symbolic and hyperbolic systems, Poincaré loop, transfer operators, coorelation decay), ergodic theory (spectral analysis, perturbed ergodic theorem, g-measure, Toeplitz flow), fractal geometry (dimension of measures, multifractal analysis, IFS), Fourier analysis (Riez productsand random trigonometric series, spectral method and gaussian randomization), random models (random walks, multiplicative chaos, random coverings). A seminar meets every two weeks. For graduate studies, this group participate to the DEA d'Analyse Appliquée in Amiens. meets at a weekly seminar. This group works mainly on discrete dynamical systems and non standard numeration. It collaborates with some analysts, some group theorists, some statisticians and also with some computer scientists.. works on polynomials with integer values and collaborates with a team in Marseilles (URA 225) works on braided categories and coorganize the ``séminaire itinérant de catégories'' which meets three time each year at Amiens, Dunkerque and Paris 7. There is a monthly colloquium .
Copyright © April 2005
|