[CvGmt News] Seminario F. Cacciafesta (15/11/2016)

[Alfonso Sorrentino]

SEMINARIO DI EQUAZIONI DIFFERENZIALI
Dipartimento di Matematica
Universita' degli Studi di Roma "Tor Vergata"


(NOTARE L'ORARIO  ANTICIPATO:  ALLE 15:30 CI SARA' UN COLLOQUIUM DI
DIPARTIMENTO)

Martedi' 15 Novembre 2016, ore 14:00 Aula dal Passo

Federico Cacciafesta (Universita' di Milano Bicocca)


Titolo: On the dispersive dynamics of the Dirac equation with critical
potentials.

Abstract: This talk will be devoted to present some properties of the
Dirac equation, which is a fundamental equation in quantum mechanics, from
the point of view of dispersive PDEs. In particular, after introducing the
general ideas and applications of dispersive estimates, I will discuss the
problem of proving the so called local smoothing estimates for the
massless Dirac-Coulomb equation, which represents a particularly
significant model both from a technical point of view (the Coulomb
potential is critical with respect to the scaling of the Dirac operator,
this fact preventing the chance of applying standard perturbative
arguments), and for the applications (it is widely used to model
interaction of particles: an application, work in progress, will be
provided).
This talk is based on a joint work with E. Séré (univ. Paris Dauphine).

Website: http://www.mat.uniroma2.it/~sorrenti/SeminarioED.html


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Email: sorrentino at mat.uniroma2.it