COLLOQUIO DE GIORGI
Vladimir Sverak
University of Minnesota
"PDE aspects of the Navier-Stokes equations"
Abstract
Solutions of incompressible Navier-Stokes equations can exhibit a wide spectrum of different types of behavior. In various regimes, the equations contain as special limiting cases for example the classical heat equation, the non-linear Schroedinger equation, various other dispersive equations with strange dispersion relations, various non-trivial finite-dimensional dynamical systems, some classical geometric semilinear elliptic equations, etc. Recently an unexpected connection between control theory for parabolic equations and Navier-Stokes regularity emerged. In addition, when thinking about realistic fluid flows and applications, ideas from statistical mechanics enter the picture. In the lecture I will explain (a limited number of) some PDE aspects of these equations.
Martedì 19 giugno 2007
ore 16.00
Aula Bianchi
Piazza dei Cavalieri, 7
PISA
- - - - -
Michele Verde
Scuola Normale Superiore
Segreteria Classe di Scienze
Tel. 050-509048
Fax. 050-509045
Piazza Dei Cavalieri, 7
56126 Pisa
E-Mail: m.verde(a)sns.it
E-Mail: segreteria.scienze(a)sns.it
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SEMINARIO DI MATEMATICA
mercoledì 13 giugno 2007
ore 15.30
Scuola Normale Superiore
Pisa
(Aula Mancini)
Gabriele Vezzosi
Università di Firenze
Terrà un seminario dal titolo:
"Qualche idea di geometria derivata"
Abstract
Descriverò un metodo per fare della geometria su oggetti (come le algebre differenziali graduate commutative), dotati di un'intrinsica teoria dell'omotopia. In tale teoria si fondono aspetti algebro-geometrici ed aspetti omotopici.
Menzionerò alcune applicazioni di questa 'geometria algebrica derivata' a problemi sorti fuori dal suo contesto, come la ricerca di una coomologia ellittica universale e il programma di Langlands geometrico.
Infine illustrerò alcuni problemi aperti e direzioni di ricerca (come, per esempio, la costruzione di D-Moduli e cristalli derivati).
Tutti gli interessati sono invitati a partecipare.
La Segreteria della
Classe di Scienze
- - - - -
Michele Verde
Scuola Normale Superiore
Segreteria Classe di Scienze
Tel. 050-509048
Fax. 050-509045
Piazza Dei Cavalieri, 7
56126 Pisa
E-Mail: m.verde(a)sns.it
E-Mail: segreteria.scienze(a)sns.it
- - - - -
Le informazioni contenute nella presente e-mail e nei relativi allegati possono essere riservate e sono, comunque, destinate esclusivamente al destinatario in indirizzo.
E' vietata, pertanto, la diffusione, distribuzione e/o copiatura di tali informazioni da parte di qualsiasi soggetto diverso dal destinatario.
Chiunque abbia ricevuto o letto questa e-mail per errore o senza esserne legittimato è invitato a darne immediatamente notizia al mittente tramite fax o e-mail e a distruggerla.
Grazie.
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