mercoledi' - 14-04-2004 (11:00 - Aula Riunioni* del Centro di Ricerca Matematica Ennio De Giorgi palazzo Puteano) : Etienne Ghys Fatou and Julia sets for holomorphic foliations argomento: Geometria abstract: SEMINARIO DI SISTEMI DINAMICI (olomorfi e dintorni) D. Sullivan noticed a strong analogy between the dynamics of rational maps, kleinian groups, and (transversaly) holomorphic foliations. In this talk, I would like to discuss a joint work with Gomez-Mont and Saludes in which we try to generalize (as much as possible) the Julia-Fatou theory and the "non wandering theorem" in the context of foliations.

giovedi' - 15-04-2004 (16:30 - Sala Seminari) : Vladimir Gerdt Algorithmic Generation of Finite Difference Schemes for Differential Equations

abstract: We present an algorithmic technique for construction of fully conservative finite difference schemes for partial differential equations. This technique based on discretization of the initial equation in its conservation law form together with some extra integral relations. It yields an algebraic system for discrete values of the sought functions and its derivatives. The difference scheme is obtained by elimination of the derivatives what can be done by construction of an appropriate pure algebraic Groebner or involutive basis. We demonstrate the technique by the classical Laplace equation, heat equation and wave equation. As a nontrivial example we consider also nonlinear Falkowich-Karman equation describing transonic flow in gas dynamics.

martedi' - 20-04-2004 (15:00 - Sala Seminari) : Andrei Pajitnov

Circle-valued Morse theory, Novikov homology, and twisted Alexander polynomial. argomento: Geometria

mercoledi' - 21-04-2004 (17:00 - Sala Riunioni) : Daniel Naie On varieties containing quasi lines argomento: Geometria abstract: Let X be a smooth complexe projective variety. A curve C of X isomorphic to P1 is called a quasi-line if its normal bundle decomposes as as a sum of \O_{P1}(1). A variety containing a quasi-line is a particular case of a rationally connected variety.I show that a rationally connected variety contains a quasi-line after a sequence of blowing ups with smooth centers. I study the geometry of these varieties: stability under small deformations, existence of a numerical invariant characterising the rationality...

giovedi' - 22-04-2004 (15:00 - Sala Seminari) : Stefano Francaviglia Groups of isometries, harmonic measures and equivariant maps. argomento: Geometria

giovedi' - 22-04-2004 (15:00 - Sala Riunioni) : Maria Grazia NASO COMPORTAMENTO ASINTOTICO DELLE SOLUZIONI PER EQUAZIONI CON MEMORIA DISSIPATIVA

Giulia Curciarello Segreteria Didattica tel: 050-2213219 e-mail curciare@dm.unipi.it

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