Notiziario Scientifico

Notiziario dei Seminari di carattere matematico
a cura del Dipartimento 'G. Castelnuovo'
Sapienza Università di Roma

Settimana dal 16 al 22 maggio 2016


Lunedì 16 maggio 2016
Ore 16:15, Università di Roma Tre, l.go san L. Murialdo 1
Minicorso di Fisica Matematica
Pizzo
Bose Particles in a Box: Convergent Expansion of the Ground State in the Mean Field Limiting Regime, III


Martedì 17 maggio 2016
Ore 09:00, aula INdAM, Istituto Nazionale d'Alta Matematica
Workshop Innovative Algorithms and Analysis
9:00 Opening
9:15 D. Amadori A modified wave-front tracking algorithm suitable for nonlocal equation: application to Kuramoto equation
10:45 M. Laforest Error Propagation and Cancellation in Glimm's Scheme
11:15 C. Christophorou Corrugated Isometric Immersions
14:30 E. Zuazua Large time asymptotics, numerics, and control for hybrid PDE-ODE systems
16:00 G. Dakin High-order discretization of boundary conditions for hyperbolic system on Cartesian grids


Martedì 10 maggio 2016
Ore 12:00, aula 1B1, dipartimento S.B.A.I.
Seminario di Analisi Matematica
Michel Chipot (University of Zurich)
Asymptotic issues in infinite cylinders


Martedì 17 maggio 2016
Ore 12:00, aula 207, LUISS Università 'G. Carli', viale Romania 32
Seminario
Mathias Staudigl (Maastricht University)
Stochastic stability and large deviations in population games
Evolutionary game dynamics describe the behavior of populations of myopic, strategically interacting agents who update their strategies by applying simple decision rules. The resulting game dynamics is an irreducible Markov chain on a finite state space. Most applications in this area focus on the long-run properties of such dynamics, particularly on invariant distributions. For finitely many players, the concept of a stochastically stable state has received much attention in the literature, where it has been proposed as an equilibrium selection device in games. In this paper we propose an alternative point of view of stochastic stability, focusing on games with large player sets. In this limit we provide explicit bounds for key statistics of the evolutionary game dynamic. In particular, using recent results on sample path large deviations for population processes, we provide bounds for the expected exit time from the basin of attraction of stable equilibria and the stationary distribution of the Markov chain. If time permits, we will present extensions to games with continuous action spaces. (Joint with William H. Sandholm (Wisconsin-Maddison))


Martedì 17 maggio 2016
Ore 14:30, aula Dal Passo, Università di Roma Tor Vergata
Seminario di Analisi ed Equazioni Differenziali
Marco Cirant (Università di Milano)
Bifurcation and segregation in quadratic two-populations Mean Field Games systems
In this talk we will consider stationary (ergodic) Mean Field Games systems of two competing populations. We will focus on the corresponding elliptic system of coupled semilinear equations obtained via the Hopf-Cole transformation, and in particular study the behavior of the two populations as the viscosity parameter goes to zero. We will discuss the existence of non-trivial solutions using variational and bifurcation methods; then, for selected families of non-trivial solutions, we will address the appearing of segregation in the vanishing viscosity limit by means of blow-up techniques.


Martedì 10 maggio 2016
Ore 14:30, aula D'Antoni, Università di Roma Tor Vergata
Seminario di Geometria Algebrica
Thomas Dedieu (Università di Roma Tor Vergata)
Geometria enumerativa delle superficie K3, II: la formula di Göttsche-Yau-Zaslow/Bryan-Leung


Martedì 17 maggio 2016
Ore 14:30, aula 311, Università di Roma Tre, l.go san L. Murialdo 1
Seminario di Fisica Matematica
Valentin Zagrebnov (Marseille)
On phase transitions driven by soft modes: isolated and open systems
I give a short review of the topics mentioned in the title and a formulation of some open problems to solve.


Mercoledì 18 maggio 2016
Ore 09:00, aula INdAM, Istituto Nazionale d'Alta Matematica
Workshop Innovative Algorithms and Analysis
9:00 V. Calvez Concentration waves of bacteria at the mesoscopic scale
10:30 B. Despres Algorithmic issues for the modeling of uncertainties in kinetic equations
11:30 N. Vauchelet Aggregation of bacteria by chemotaxis: mathematical and numerical analysis
14:30 D. Matthes Lagrangian discretizations for non-linear diffusion of second and fourth order
16:00 S. Lorenzani Sound wave propagation in binary gas mixtures flowing through microchannels according to the method of elementary solutions
17:00 M. Twarogowska Numerical approximation and simulations of travelling waves emergin


Mercoledì 18 maggio 2016
Ore 14:00, aula 403, LUISS Università 'G. Carli', viale Romania 32
Kolmogorov meets Turing workshop
14:00 Jerome Renault (Toulouse School of Economics) On values of repeated games with signals
15:00 Federico Ricci-Tersenghi (Sapienza Università di Roma) Phase transitions in semidefinite relaxations
16:15 Aris Anagnostopoulos (Sapienza Università di Roma) Algorithms on evolving data
17:15 Pietro Caputo (Università Roma Tre) Random walk on sparse random directed graphs


Mercoledì 18 maggio 2016
Ore 14:15, aula Picone
Seminario di Algebra e Geometria
Ruggero Bandiera (Sapienza Università di Roma)
Modelli algebrici della mappa dei periodi e accoppiamento di Yukawa
Dopo aver richiamato l'approccio alla teoria delle deformazioni tramite DGLAs, e più in generale algebre L-infinito, descriveremo alcuni modelli L-infinito della mappa dei periodi locale di una varietà Kaehleriana X, e tramite questi costruiremo l'algebra L-infinito che controlla le deformazioni di X dove l'associata variazione di struttura di Hodge soddisfa certi vincoli. Come conseguenza, otteniamo un'interpretazione dell'accoppiamento di Yukawa nel contesto della teoria delle deformazioni. Il seminario è basato su una collaborazione con M. Manetti.


Mercoledì 18 maggio 2016
Ore 14:30, aula di Consiglio
Seminario
Lorenzo Contento (Meiji University)
Traveling wave solutions in a three-species competition-diffusion system
The competitive exclusion principle states that two biological species competing for the same limited resources cannot coexist, resulting in the eventual extinction of one of them. However, a rich biodiversity is observed in natural ecosystems. The search for the mechanisms behind such biodiversity is an ongoing field of research in mathematical biology. I have been interested in competitor-mediated coexistence, in which coexistence of two competing species is made possible by a third species invading the ecosystem from outside. The simplest model for this phenomenon is a three-species competition-diffusion system of Lotka-Volterra type. For some choices of the parameters, such system admits two different stable one-dimensional traveling wave solutions. Depending on their relative velocity, such waves interact in several different ways and the study of such interaction offers insight about whether or not coexistence occurs in two-dimensional domains. In two-dimensions, the one-dimensional traveling waves can be extended to stable planar traveling waves. When these planar fronts collide at a certain angle, non-planar two-dimensional traveling waves appear. Some of them have novel shapes, including asymmetric wedge- and biwedge-shaped waves.


Mercoledì 18 maggio 2016
Ore 15:45, aula Picone
Seminario di Algebra e Geometria
Kurt Falk (Bremen)


Mercoledì 18 maggio 2016
Ore 16:00, aula di Consiglio
Seminario di Fisica Matematica
Pierre Picco (CNRS, Université de Provence)
Recent results on the phase separation phenomenon for one-dimensional long-range Ising model
In this talk we first give a Roma oriented review of the history of one-dimensional long-range Ising model. We present recent results done in collaboration with M. Cassandro and I. Merola on the phenomenon of separation of phase, this is the one-dimensional analogue of the Minlos & Sinai theory, the Dobrushin, Kotecky & Shlosman and Pfister theory.


Mercoledì 18 maggio 2016
Ore 16:00, aula Dal Passo, Università di Roma Tor Vergata
Seminario di Algebre di Operatori
Stefano Rossi (Università di Roma Tor Vergata)
Endomorphisms and automorphisms of the 2-adic ring C*-algebra Q_2
The 2-adic ring C*-algebra is the universal C*-algebra Q_2 generated by an isometry S_2 and a unitary U such that S_2U=U^2S_2 and S_2S_2^*+US_2S_^*U^*=1. By its very definition it contains a copy of the Cuntz algebra O_2. I'll start by discussing some nice properties of this inclusion, as they came to be pointed out in a recent joint work with V. Aiello and R. Conti. Among the other things, the inclusion enjoys a kind of rigidity property, i.e. any endomorphism of the larger that restricts trivially to the smaller must be trivial itself. I'll also say a word or two about the extension problem, which is concerned with extending an endomorphism of O_2 to an endomorphism of Q_2. As a matter of fact, this is not always the case: a wealth of examples of non-extensible endomorphisms (automophisms indeed!) show up as soon as the so-called Bogoljubov automorphisms of O_2 are looked at. Then I'll move on to particular classes of endomorphisms and automorphisms of Q_2. Notably, the semigroup of the endomorphisms fixing U turns out to be a maximal abelian group isomorphic with the group of continuous functions from the one-dimensional torus to itself. Such an analysis, though, calls for some knowledge of the inner structure of Q_2. More precisely, it's vital to prove that C*(U) is a maximal commutative subalgebra. Time permitting, I'll also try to sketch some of the ideas and techniques occurring in the proofs of those results I deem the most interesting.


Giovedì 19 maggio 2016
Ore 09:00, aula INdAM, Istituto Nazionale d'Alta Matematica
Workshop Innovative Algorithms and Analysis
9:00 D. Bini High-order post-Newtonian contributions to gravitational self-force effects in black hole spacetimes
10:30 T. Foglizzo Shallow water analogue of the unstable dynamics of stellar core-collapse
11:30 R. Kappeli Well-balanced methods for computational astrophysics
14:30 Chiodaroli On different notions of solution for the compressible Euler equations
16:00 Gosse Two-dimensional discretizations of diffusive equations by means of LL-splines and Steklov-Poincaré operator
17:00 S. Guisset The angular M1 model in a moving velocity frame for gas dynamics applications


Giovedì 19 maggio 2016
Ore 11:30, aula 311, Università di Roma Tre, l.go san L. Murialdo 1
Seminario di Logica
Antonio Di Nola (Università di Salerno)
La semantica algebrica della Logica di Lukasiewicz
Si illustrerà il ruolo delle MV-algebre quali modelli della logica di Lukasiewicz e le loro interazioni con altre classi di strutture algebriche tra le quali i monoidi reticolari.


Giovedì 19 maggio 2016
Ore 14:30, aula 311, Università di Roma Tre, l.go san L. Murialdo 1
Seminario di Analisi Matematica
Pablo Figueroa (Universidad Catolica Silva Henriquez, Santiago)
On the mean field equation of the equilibrium turbulence on pierced domains
We present some results concerning the construction of solutions for the mean field equation of the equilibrium turbulence with Dirichlet boundary condition on a pierced domain in dimension two. The hole is a small ball centered at some fixed point of a given smooth domain. The solution we construct has the profile of two bubbles, one positive and one negative, centered at the center of the small ball, suitable scaled and projected with respect to Dirichlet boundary condition


Giovedì 19 maggio 2016
Ore 16:00, aula Dal Passo, Università di Roma Tor Vergata
Seminario di Fisica Matematica
Alessandro Teta (Sapienza Università di Roma)
Stability problem for a quantum system with zero-range interactions
We discuss some mathematical aspects of the dynamics of a system of quantum particles in dimension three with two-body zero-range interactions. Such systems are relevant in the physics of the so-called ultra-cold atoms, in connection with Efimov and Thomas effects. In particular, we review the state of the art concerning the rigorous construction of the corresponding Hamiltonian as a self-adjoint operator and the conditions for its lower boundedness. Exploiting a quadratic form method, we show that self-adjointness and lower boundedness hold for three bosons excluding the 's-wave' subspace and for N identical fermions plus a different particle for suitable values of the mass ratio. We conclude with some open problems.


Venerdì 20 maggio 2016
Ore 09:00, aula INdAM, Istituto Nazionale d'Alta Matematica
Workshop Innovative Algorithms and Analysis
9:00 N. Risebro Convergence rates for difference schemes for degenerate convection-diffusion equations
10:30 Introduction panel discussion
11:00 Panel discussion
12:30 Conclusions


Venerdì 20 maggio 2016
Ore 11:30, Biblioteca - Sala Ingegneria Geotecnica, dipartimento di Ingegneria Strutturale e Geotecnica (DISG), via Eudossiana 18
Seminario
Roberto Paroni
A non-linear model for inextensible elastic ribbons



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