Notiziario Scientifico

Settimana dal 13 al 19 aprile 2015


Lunedì 13 aprile 2015
Ore 14:30, aula di Consiglio
Seminario di Analisi Matematica
Sergio Conti (University of Bonn)
On the theory of relaxation for variational problems with constraints on the determinant
We consider vectorial variational problems of the form E[u]=∫W(Du)dx, typical for example of nonlinear elasticity and plasticity, which include constraints on the determinant. Specifically, the energy density W is assumed to diverge outside of the set of matrices with positive determinant, or, alternatively, outside of the set of matrices with determinant equal 1. If W is not quasiconvex then E is not lower semicontinuous and does not, in general, have minimizers. Low-energy states can be studied via the relaxation of E. We discuss how, in some situations of physical interest, the relaxation of E can be explicitly characterized in terms of the quasiconvex envelope of W. This talk is based on joint work with Georg Dolzmann (Regensburg).


Lunedì 13 aprile 2015
Ore 15:00, aula G, Università di Roma Tre (via della Vasca Navale)
Seminario di Fisica Teorica
Claude Viallet (Université Pierre et Marie Curie)
On the algebraic structure of rational discrete dynamical systems
It will be shown how the singularity structure shapes the evolution of birational discrete systems, suggesting changes of variables which automatically provide us with exact evaluation of the algebraic entropy, (generalised) Hirota type of description, and remarkable factorisation properties beyond "Laurentness".


Lunedì 13 aprile 2015
Ore 16:00, IISS C. Darwin (via Tuscolana 388)
In occasione del primo anniversario della morte di Emma Castelnuovo, il Movimento di Cooperazione Educativa e l'IISS C. Darwin aprono "simbolicamente" la sua Biblioteca. Interviene Ciro Ciliberto


Martedì 14 aprile 2015
Ore 14:00, aula Riunioni (II piano), IAC (via dei Taurini)
Seminario di Probabilità
Claudio Durastanti (Università di Roma Tor Vergata)
Normal approximations of linear and nonlinear statistics over the sphere
Our aim is to study quantitative central limit theorems for some linear and nonlinear statistics based on wavelet coefficients evaluated on spherical Poisson processes of arbitrary dimension. This purpose is attained by merging the Stein-Malliavin approach (introduced in the seminal paper by Peccati, Solé, Taqqu and Utzet (2010)) and the properties of the needlets, wavelets over the q-dimensional sphere featuring strong concentration properties in the spatial and frequency domains, introduced in literature by Narcowich, Petrushev, Ward (2006). We will also discuss some examples: the thresholding and the study of variance in nonparametric density estimation framework and the so- called Sobolev tests for uniformity. This is a joint work with Solesne Bourguin, Domenico Marinucci and Giovanni Peccati.


Martedì 14 aprile 2015
Ore 14:30, aula Dal Passo, Università di Roma Tor Vergata
Seminario di Equazioni Differenziali
Marco Degiovanni (Università Cattolica del Sacro Cuore Brescia)
Sulla dipendenza da p degli autovalori variazionali del p-laplaciano. Convergenza di autovalori variazionali e Gamma-convergenza di funzionali
Verranno presentati alcuni nuovi risultati riguardanti la dipendenza da p degli autovalori variazionali del p-laplaciano. La questione verrà collegata alla Gamma-convergenza di opportuni funzionali, mostrando in particolare che il comportamento del primo autovalore condiziona quello di tutti gli autovalori variazionali successivi.


Martedì 14 aprile 2015
Ore 15:00, aula di Consiglio
Seminario di Modellistica Differenziale Numerica
Gianluigi Rozza, (SISSA)
Recent advances on reduced order modelling for viscous and thermal flows in parametrized settings: focus on stability and bifurcations
Some recent developments of reduced order modelling (ROM) in computational fluid dynamics for viscous incompressible flows will be discussed. The main topics will deal with the use of combined ROM techniques currently available, efficient sampling procedures, inf-sup pressure stabilization for ROM approaches, error bounds, computational performances. Spectral elements method is used for basis generation. Some emphasis will be given to the stability of flows and steady and Hopf bifurcations and numerical techniques for their detections by the eigenvalues computed with reduced order models. Numerical results will be applied to classical benchmarks study cases and to the Coanda effect in cardiac blood flow simulation, provided as guideline and perspective application.


Martedì 14 aprile 2015
Ore 16:00, aula D'Antoni, Università di Roma Tor Vergata
Seminario di Analisi Complessa
David Shoikhet (ORT Braude College and The Technion-Israel Institute of Technology)
Boundary Interpolation Problems for Holomorphic Generators and the Cowen-Pommerenke Inequalities
We study a problem of separation of boundary singularities for generators of continuous semigroups of holomorphic self-mappings. It enables us to recover the famous Cowen-Pommerenke inequalities as well as to establish some quantitative algebraic and geometric characteristics related to the linearization models for semigroups of holomorphic mappings and the geometry of backward flow invariant domains. Yet another look at the problem in question leads to an infinitesimal version of boundary interpolation theorem for holomorphic generators in the spirit of Pick and Nevanlinna. This talk is based on the joint works with Mark Elin, Simeon Reich, Nikolay Tarkhanov and Larry Zalcman.


Mercoledì 15 aprile 2015
Ore 14:00, aula 1B1, Dipartimento SBAI
Minicorso
Alexander Teplyaev (Università del Connecticut)
About the use of differential 1-forms on the Sierpinski gasket and other fractals I


Mercoledì 15 aprile 2015
Ore 14:30, aula di Consiglio
Seminario di Algebra e Geometria
Elena Martinengo (Hannover)
Singolarità di spazi di moduli di fasci su K3
Negli anni Ottanta Mukai dimostra che le singolarità dello spazio dei moduli di fasci su una superficie K3 sono contenute nel luogo dei fasci strettamente semistabili. Se la polarizzazione rispetto a cui si considera la stabilità è generica e il vettore di Mukai è primitivo tutti i fasci semistabili sono stabili e lo spazio dei moduli è liscio e ha una struttura simplettica. Nel caso in cui il vettore di Mukai è non primitivo, Kaledin, Lehn e Sorger congetturano che la dg-algebra che controlla le deformazioni di fasci su una K3 sia formale, che implicherebbe una completa descrizione delle possibili singolarità dello spazio di moduli. La congettura è stata dimostrata in alcuni casi da Kaledin-Lehn e successivamente da Zhang. Le tecniche utilizzate sono simili e consistono nell'analizzare i sollevamenti dei fasci sulla K3 alla famiglia twistor e poi applicare il teorema di formalità in famiglie di Kaledin. In un lavoro in progress in collaborazione con Manfred Lehn vogliamo completare la dimostrazione della congettura. Nel seminario parlerò della nostra dimostrazione per un caso mancante e del tentativo di estendere la nostra costruzione ad hoc a una dimostrazione generale.


Mercoledì 15 aprile 2015
Ore 15:00, aula D'Antoni, Università di Roma Tor Vergata
Seminario PASCAL (Probabilistic and Statistical Techniques for Cosmological Applications)
Guillaume Poly (University of Rennes 1)
An approach of Gaussian inequalities via Markov operators
We will revisit the so-called Fourth moment theorem due to Nualart and Peccati from the point of view of Markov operators and will point out the generalizations that this approach brings. We will derive consequences for Variance inequalities and the Gaussian product conjecture.


Mercoledì 15 aprile 2015
Ore 16:00, aula C
Claudio Procesi (Sapienza Università di Roma)
Algebre con identità polinomiali II


Mercoledì 15 aprile 2015
Ore 16:00, aula F, Università di Roma Tre (largo s. Leonardo Murialdo)
i Tè di Matematica
Ugo Bessi (Università di Roma Tre)
Un'ora di movimento terra
Faremo una breve introduzione al problema del trasporto ottimo e vedremo come si collega all'analisi in spazi metrici.


Mercoledì 15 aprile 2015
Ore 16:15, aula di Consiglio
Seminario di Fisica Matematica
Rodolfo Figari (Università di Napoli Federico II)
The dynamics of environment induced decoherence
I will review some recent attempts to clarify rigorously the transition from a quantum to a classical behavior of a microscopic system as a consequence of its interaction with a macroscopic quantum system. Perturbative and non-perturbative analysis of solutions of the Schroedinger equation of a large system, in specific asymptotic regimes, reveals that the evolution of various subsystems turns out to be classical-like without invoking any state reduction resulting from a measurement process.


Giovedì 16 aprile 2015
Ore 14:00, aula di Consiglio
Seminario p(n) Problemi Differenziali Non Lineari
Francois Genoud (TU Delft)
Stable solitons of the cubic-quintic NLS with a delta-function potential
This talk is about the one-dimensional nonlinear Schrodinger equation with a combination of cubic focusing and quintic defocusing nonlinearities, and an attractive delta-function potential. All standing waves with a positive soliton profile can be determined explicitly in terms of elementary functions, and I will show by a bifurcation and spectral analysis that all these solutions are orbitally stable. A remarkable feature is a regime of bistability, where two stable solitons coexist.


Venerdì 17 aprile 2015
aula Libera, Universitagrave; di Roma Tre, (largo G.B. Marzi)
Form Finding Workshop
9:00 Opening S. Gabriele, P. Magrone, V. Varano
9:15 the Students Some Workshop Results
9:45 S. Adriaenssens, S. Gabriele, P. Magrone, V. Varano (Princeton Univ., Roma Tre Univ.) Comparisons between geometrical and structural analysis of the Musmeci's Basento bridge
10:30 T. Iori, S. Poretti (Tor Vergata Univ.) The Language of Structures. Musmeci's nameless form bridge
11:00 Coffee break
11:30 S. Converso (Roma Tre Univ.) Parametric Design and Shape OpFmizaFon: doubly curved envelopes in wood for the new congress center of Rome
12:00 L. Teresi (Roma Tre Univ.) Stress-driven Architectures: learning from Plants
12:30 M. Pezzulla (La Sapienza Univ.) Morphing of Geometric Composites


Venerdì 17 aprile 2015
Ore 12:00, aula Picone
Seminari MoMa
Marino Arroyo
Mechanics of out-of-plane deformation patterns in supported graphene
Graphene is a two-dimensional material with a unique set of properties, many of which rely on its planar two-dimensional structure. In many applications, graphene is supported on a substrate. Rather than a flatland, supported graphene describes a landscape shaped by out-of-plane features with different physical origins. Defects such as dislocations or grain boundaries can relax through out-of-plane deformations. Gas trapped between graphene and the substrate can elastically deform graphene, producing blisters of various shapes and sizes. Lateral strain produced upon cooling after graphene synthesis invariably results in linear and localized wrinkles. Such wrinkles or bubbles locally modify the electronic properties and are seen as defects. It has been also suggested that the strong coupling between localized deformation and electronic structure could be harnessed in technology by strain engineering. Here, I will describe our efforts to understand the origin of elastic out-of-plane deformations in supported graphene, and to devise strategies to control deformation patterns.


Venerdì 17 aprile 2015
Ore 14:30, aula 311, Università di Roma Tre (largo s. Leonardo Murialdo)
Seminario di Probabilità
Juan Saglietti (Università di Buenos Aires)
Metastability for small random perturbations of a PDE with blow-up
We consider the stochastic PDE ut=uxx+up+ε W with homogenous Dirichlet boundary conditions, where p>1, ε >0 is a small fixed parameter and W stands for space-time white noise. It is well known that the associated deterministic PDE (i.e. ε=0 in the equation above) admits exactly one asymptotically stable equilibrium and a countable family of unstable equilibria with increasing energy. Furthermore, for certain initial conditions it can be shown that the solution of the deterministic PDE explodes in finite time. We show that, for p<5 and initial conditions in the domain of attraction of the asymptotically stable equilibrium, the solution Xε of the SPDE satisfies in the limit as ε tends to zero the classical description of metastability featured in [1]: the averages of Xε remain stable and close to the equilibrium up until the explosion time which, when suitably rescaled, converges in distribution to an exponential random variable. Furthermore, for certain initial conditions in the domain of explosion (and any value of p>1) we show the continuity of the explosion time as ε tends to zero.


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