Notiziario Scientifico
Settimana dal 7 al 13 ottobre 2013
Lunedì 7 ottobre 2013
Lunedì 7 ottobre 2013
Martedì 8 ottobre 2013
Martedì 8 ottobre 2013
Mercoledì 9 ottobre 2013
Mercoledì 9 ottobre 2013
Mercoledì 9 ottobre 2013
Giovedì 10 ottobre 2013
Tutte le informazioni relative a questo notiziario devono pervenire
all'indirizzo di posta elettronica
seminari@mat.uniroma1.it,
o nella casella della posta di Luigi Orsina, entro le ore 9 del venerdì
precedente la settimana di pubblicazione.
Ore 14:30, Aula di Consiglio
Seminario di Analisi Matematica
In this talk, I will discuss some questions related to the nonlinear theory of electromagnetism
formulated by Born and Infeld in 1934. I will discuss the link between this theory and the curvature
operators in the Euclidean and in the Lorentz-Minkowski space. I will address the solvability of the
electrostatic Born-Infeld equation with sources (and a model driven by the nonlinear Klein-Gordon
equation) emphasizing the open questions and the partial recent progress we made. Finally, I will
present some more academic results related to the curvature operator in the Lorentz-Minkowski space
and the solvability of some scalar field type equations.
Ore 15:30, Istituto per le Applicazioni del Calcolo, via dei Taurini 19
In this talk I will describe two models of amoeboidal cell motion. Both models are force based. One
focuses on cell-cell interactions and how an aggregate of cells moves. The other model includes
random switching terms and models individual cell motion. The biological implications of both models
will be discussed.
Ore 15:00, Aula D'Antoni, Università di Roma II
Seminario di Equazioni Differenziali
We study the Moser-Trudinger equation Delta u = L u exp(u^2), L > 0 on a 2-dimensional disk,
arising from the Moser-Trudinger sharp embedding of H^1_0(Disk) into the Orlicz space of
functions u with exp(u^2) integrable. We answer some long standing open questions: a) The weak limit
of a blowing-up sequence of solutions to the Moser-Trudinger equation on a disk is 0. b) The
Dirichlet energy of a blowing-up sequence of solutions on adisk converges to 4pi. c) For L large
enough, the Moser-Trudinger equation on a disk admits no solution with Dirichlet energy larger than
L. This work is joint project with Andrea Malchiodi (SISSA).
Ore 15:00, Aula G
The stochastic quantization equation is a simple model for the kind of problems linked to locality
and non-triviality of quantum field theories. In this talk we review recent advances in
understanding of the functional analytic structure of solutions to non-linear SPDEs and their
application to the study of the stochastic quantization of a scalar field in 3 dimensions. These
advances have been possible thanks to a generalization of the theory of (controlled) rough paths
which allows a pathwise formulation to stochastic differential equations driven by irregular signal.
In particular we discuss the role of multiscale decomposition of distributions and of the notion of
paraproduct in the analysis of this problem.
Ore 14:30, Aula di Consiglio
Seminario di Algebra e Geometria
Feynman graphs are used in Quantum Field Theory to represent the possible interactions between the
particles studied by the theory. They are used to compute certain physical constants (mass or charge
of the electron, for example). For this, several infinite series of Feynman graphs are considered;
they can be uniquely defined as the solution of a certain system of equations, called the
combinatorial Dyson-Schwinger equations of the system. Moreover, the combinatorial operations on
Feynman graphs (insertion, extraction contraction) give them a structure of a Hopf algebra. The
solution of the Dyson-Schwinger system should be compatible with this algebraic structure, and this
imposes strong conditions on the system itself. We present a classification of the systems which
satisfy these conditions, with the help of the Connes-Kreimer Hopf algebra and its universal
property, which allows to replace Feynman graphs by rooted trees.
Ore 16:00, Aula F, Università di Roma III
I tè di matematica
In questo seminario vedremo come la teoria (puramente combinatoriale) dei grafi e la (sofisticata)
teoria dei moduli delle curve in geometria algebrica hanno interagito tra loro in anni recenti fino
ad oggi.
Ore 16:00, Aula Dal Passo, Università di Roma II
We show that in a conformal Haag-Kastler net, its massless particle spectrum is generated by a free
field subnet.
Ore 14:00, Aula di Consiglio
Seminario P(n): Problemi differenziali non lineari
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