Notiziario Scientifico
Settimana dal 14 al 20 aprile 2014
Lunedì 14 aprile 2014
Lunedì 14 aprile 2014
Lunedì 14 aprile 2014
Lunedì 14 aprile 2014
Lunedì 14 aprile 2014
Martedì 15 aprile 2014
Martedì 15 aprile 2014
Martedì 15 aprile 2014
Martedì 15 aprile 2014
Martedì 15 aprile 2014
Martedì 15 aprile 2014
Martedì 15 aprile 2014
Martedì 15 aprile 2014
Martedì 15 aprile 2014
Martedì 15 aprile 2014
Mercoledì 16 aprile 2014
Mercoledì 16 aprile 2014
Mercoledì 16 aprile 2014
Mercoledì 16 aprile 2014
Giovedì 17 aprile 2014
Giovedì 17 aprile 2014
Giovedì 17 aprile 2014
Venerdì 18 aprile 2014
Venerdì 18 aprile 2014
Tutte le informazioni relative a questo notiziario devono pervenire
all'indirizzo di posta elettronica
seminari@mat.uniroma1.it
entro le ore 9 del venerdì precedente la settimana di pubblicazione.
Ore 14:00, Aula C
Ore 14:30, Aula Dal Passo, Università di Roma II
14:30--15:30 Pierre Cardaliaguet (Universite' Paris Dauphine)
Singular mean field games of first order
15:30--16..10 Fabio Priuli (Universita' di Roma Tor Vergata)
First order mean field games and crowd dynamics with non-local interactions
16:30--17:10 Fabio Bagagiolo (Universita' di Trento)
On some "non-standard" one-dimensional models related to mean field games
17:10--17:50 Martino Bardi (Universita' di Padova)
Linear-Quadratic N-person and Mean-Field Games with Ergodic Cost
Ore 14:30, Aula di Consiglio
Seminario di Analisi Matematica
We review some recent results concerning with the existence of positive solutions of the following
problem
-Delta u +H(x,u,nabla u)= lambda f(u) in Omega,
u=0 on partial Omega,
where f is a continuous nonnegative function in [0,+infty) with f(0) > 0 and H is a Carathedory
function defined on Omega times [0,+infty) times mathbb[R]^[N]. Specifically, we show how this
problem provides a general framework to study Gelfand type problems. We give sufficient conditions
to prove that there exists lambda^* > 0 such that the problem has a minimal solution u_lambda
provided that 0 < = lambda < lambda^* and no solution if lambda > lambda^*. We pay special interest
in the extension of the classical stability condition as well as a general comparison principle.
Ore 15:00, Aula B
Corso di Dottorato
Ore 16:30, Aula Picone
16:30 Michael Loss (Georgia Tech.)
"The Kac model coupled to a thermal bath"
17:30 Scipio Cuccagna (Universita' Trieste)
"On small energy stabilization in the NLS with a trapping potential"
Ore 10:00, Aula Dal Passo, Università di Roma II
10:00--10:40 Fabio Camilli (Universita' di Roma La Sapienza)
A model problem for Mean Field Games on networks
10:40--11:10 Dario Bauso (Universita' di Palermo)
Robust mean-field games and two-point boundary value problems
11:30--12:10 Erman Feleqi (Universita' di Padova)
Ergodic MFG equations for several populations of agents as a ''continuum limit''
(that is, letting the cardinality of each population tend to infinity)
of certain games with a finite but large number of agents
12:10--12:50 Markus Fischer (Universita' di Padova)
On the connection between symmetric N-person games and mean field games
Ore 10:30, Aula di Consiglio
10:30 Kenji Nakanishi (Kyoto University)
"Global dynamics of energy-critical dispersive equations"
11:30 coffee break
12:00 Eric Sere' (CEREMADE, Paris-Dauphine)
"Soliton-like solutions in Peierls models of one-dimensional molecular chains"
Ore 14:00, Aula B
Seminario di Probabilità
In the last decades the problem of metastability has been attacked on rigorous grounds
via many different approaches and techniques which are briefly reviewed in this paper.
It is then useful to understand connections between different point of views. In view
of this we consider irreducible, aperiodic and reversible Markov chains with exponentially
small transition probabilities in the framework of Metropolis dynamics. We compare two
different cycle decompositions and prove their equivalence.
Ore 14:30, Aula Zorzi, Ex mattatoio, Largo G.B. Marzi
Seminari Formulas
Durante il seminario verranno esplorate le forme che gli strumenti classici
dell'analisi dell'ambiente sonoro assumono all'interno dei campi disciplinari
della acustica ambientale e degli studi sul paesaggio sonoro. In particolare,
saranno messi in evidenza limiti e criticità dell’approccio quantitativo,
proprio della legislazione vigente e praticato dalla pianificazione acustica
tradizionale e sarà presentata la tesi che afferma la necessità di adottare
un approccio di tipo qualitativo nei confronti dell'ambiente sonoro, attraverso
una rivisitazione del concetto di rumore in chiave culturale basata sulla
rilettura della storia della musica del novecento.
Infine sarà illustrata la soundmap: uno strumento analitico e rappresentativo
in grado di restituire le caratteristiche qualitative del suono che potrebbe
contribuire al superamento dello scarto che esiste tra la rappresentazione
dell'ambiente sonoro e la reale esperienza che ne facciamo ogni giorno,
se integrato agli strumenti usati dalla pianificazione acustica tradizionale.
Il seminario terminerà con l’illustrazione della mappa sonora ''tenera''
collettiva di Firenze, a cura dell’autrice, un esempio di soundmap per la
città di Firenze, dove il paesaggio sonoro viene interpretato e rappresentato
in chiave emozionale.
Ore 14:30, Aula Dal Passo, Università di Roma II
14:30--15:10 Marco Cirant (Universita' di Padova)
Segregation in multi-population Mean Field Games with aversion
15:10--15:50 Alessio Porretta (Universita' di Roma Tor Vergata)
Long time behavior and the turnpike property for mean field games
Ore 14:30, Aula 311, Università di Roma III
Seminario di Fisica Matematica
The Lieb-Thirring inequalities give a bound on the negative eigenvalues of a Schroedinger operator
in terms of an L^p norm of the potential. This is dual to a bound on the H^1-norms of a system of
orthonormal functions. We extend these to analogous inequalities for perturbations of the Fermi sea
of non-interacting particles, i.e., for perturbations of the continuous spectrum of the Laplacian by
local potentials. (This is joint work with R. Frank, M. Lewin and E. Lieb.)
Ore 15:00, Aula di Consiglio
Seminario di Modellistica differenziale numerica
In this talk, we will review some known results on the link between reachability analysis and
optimal control problems in the deterministic setting. We will show how this link can be used to get
a constructive way for the characterization of the epigraph of the value function of constrained
control problems, without assuming any controllability assumption. Some extensions of these results
to the stochastic setting will be also discussed.
Ore 16:00, Aula D'Antoni, Università di Roma II
Seminario di Analisi Complessa
In the first part of this talk i will give the basic definitions and examples concerning the
viscosity method for differential equations, stressing the role of the comparison principle for
viscosity sub- and super-solution in the study of the uniqueness and regularity of the solutions. In
the second part I will describe how these techniques can be modified to fit into the setting of the
complex Monge-Ampere equation, employing the pluripotential approach to the CMA equation in order to
obtain the desired comparison principle for the viscosity solutions.
Ore 16:10, Aula di Consiglio
Seminario di Modellistica differenziale numerica
In this talk, we will review some known results on the link between reachability analysis and
optimal control problems in the deterministic setting. We will show how this link can be used to get
a constructive way for the characterization of the epigraph of the value function of constrained
control problems, without assuming any controllability assumption. Some extensions of these results
to the stochastic setting will be also discussed.In this talk we shall present numerical
approximations of unbounded value functions associated to some stochastic control problems. We
derive new error estimates for monotone schemes based on Markov chain approximations, with a special
focus on the case of unbounded coefficients and unbounded, possibly discontinuous, terminal data.
One motivation of this study consists in extending the level set approach to chance-constrained
control problems. A precise analysis of the level-set approach is carried out and some numerical
simulations are given to illustrate the approach.
Ore 16:30, Aula Picone
16:30 Renato Luca' (ICMAT - Madrid)
"On the dimension of divergence sets of the Schroedinger equation"
17:30 Keith Rogers (ICMAT - Madrid)
"Unbounded potential recovery in the plane"
Ore 10:30, Aula di Consiglio
9:30 Nabile Boussaid (Universite' de France Compte - Besancon)
"On the spectral (in)stability of nonlinear Dirac equations"
10:30 Loic Le Treust (Universite' de Rennes)
"A variational study of some hadron bag models"
11:30 coffee break
12:00 Julien Sabin (Universite' de Cergy-Pontoise)
"The Hartree equation for infinite quantum systems"
Ore 11:00, Aula E
Corso di Dottorato
Ore 14:30, Aula di Consiglio
Seminario di Algebra e Geometria
Let X be a Kähler complex manifold and let Z be a complex submanifold. Within the framework of
derived deformation theory, the Abel-Jacobi map for the pair (X,Z) has a natural interpretation as a
morphism from a homotopy fiber to a double homotopy fiber. Using this fact and the dictionary
between formal moduli problems and differential graded Lie algebras up to homotopy, it is easy to
describe a linear Lu221e-morphism encoding the Abel-Jacobi map, and in terms of this Lu221e-morphism
it is immediate to reobtain the classical description of the differential of the Abel-Jacobi map as
well as the result that Bloch's semiregularity map annihilates the obstructions to deforming Z
inside X. This provides a geometrical interpretation of recent results by Iacono-Manetti and
Pridham.
Ore 16:00, Aula F, Università di Roma III
Colloquium di Matematica
The famous ergodic hypothesis claims that a typical Hamiltonian dynamics on a typical energy surface
is ergodic. However, KAM theory disproves this. It establishes a persistent set of positive measure
of invariant KAM tori. The (weaker) quasi-ergodic hypothesis, proposed by Ehrenfest and Birkhoff,
says that a typical Hamiltonian dynamics on a typical energy surface has a dense orbit. This
question is wide open. In early 60th Arnold constructed an example of instabilities for a nearly
integrable Hamiltonian of dimension n > 2 and conjectured that this is a generic phenomenon,
nowadays, called Arnold diffusion. In the last two decades a variety of powerful techniques to
attack this problem were developed. In particular, Mather discovered a large class of invariant sets
and a delicate variational technique to shadow them. In a series of preprints: one joint with P.
Bernard, K. Zhang and one with K. Zhang and one with M. Guardia we prove strong form of Arnold's
conjecture in dimension n=3.
Ore 10:30, Aula di Consiglio
10:30 Hideo Kubo (Tohoku University)
"On the exterior problem for the wave equation with subcritical nonlinearity in 2D"
11:30 coffee break
12:00 Gianluca Panati (SAPIENZA Roma)
"Wannier functions for periodic Schroedinger operator and minimizers of the Marzari-Vanderbilt
functional"
Ore 11:30, Aula 211, Università di Roma III
Corso di Dottorato
Ore 16:30, Aula Picone
16:30 Simona Rota Nodari (Universite' de Lille)
"Mathematical study of a nonlinear model for nucleons"
17:30 Albert Mas Blesa (Universidad Autonoma de Barcelona)
"On shell interactions for Dirac operators: self-adjointness, point spectrum and confinement"
Ore 10:30, Aula di Consiglio
10:30 Federico Cacciafesta (SAPIENZA Roma)
"Dispersive properties for the massless Dirac equation with a Coulomb-type potential"
11:30 coffee break
12:00 Thomas Soerensen (University of Munich)
"Real analyticity of solutions to equations involving fractional Laplacians or pseudorelativistic
operators"
Ore 14:30, Aula INdAM
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