Notiziario Scientifico
Notiziario dei Seminari di carattere matematico
a cura del Dipartimento 'G. Castelnuovo'
Sapienza Università di Roma
Settimana dal 19 al 23 dicembre 2016
Lunedì 19 dicembre 2016
Ore 11:00, aula B
Incontro di lavoro su Calcolo delle Variazioni e Γ-convergenza/
Working seminar on Calculus of Variations and Γ-convergence
Silvio Fanzon (University of Sussex)
Variational models for semi-coherent interfaces
We propose and analyze a simple variational model for dislocations at semi-coherent
interfaces. The energy functional describes the competition between two terms: a
surface energy induced by dislocations and a bulk elastic energy, spent to decrease
the amount of dislocations needed to compensate the lattice misfit. We prove that,
for minimizers, the former scales like the surface area of the interface, the latter
like its diameter. The proposed continuum model is built on some explicit computations
done in the framework of the semi-discrete theory of dislocations. Even if we deal
with finite elasticity, linearized elasticity naturally emerges in our analysis since
the far field strain vanishes as the interface size increases.
Lunedì 19 dicembre 2016
Ore 14:30, aula di Consiglio
seminario di Analisi Matematica
Luca Rossi (EHESS Parigi)
Proprietà di (anti)simmetrizzazione per equazioni paraboliche semilineari
Un risultato classico di Jones afferma che le soluzioni di un'equazione parabolica diventano
sempre più simmetriche col passare del tempo. In particolare, i loro insiemi di livello
restano a distanza finita da una certa sfera che evolve nel tempo.
Si pone dunque la domanda: tale distanza tende a zero quando il tempo tende a infinito?
Una risposta negativa è stata fornita da Yagisita '01 e Roussier '04 nel caso
dell'equazione di reazione-diffusione di tipo bistabile.
Presenterò un criterio che fornisce controesempi per equazioni con termine semilineare
concavo, che comprendono le equazioni lineari e quelle di tipo Fisher-KPP.
Lunedì 19 dicembre 2016
Ore 14:30, Accademia dei Lincei, via della Lungara 230
Workshop: Models, Simulation, Optimization: Mathematical Technologies
for Industrial Innovation in Europe
14:30 Opening Session
14:40 Bulgaria: Tihomir Ivanov 'A success story from the Bulgarian ESGIs'
15:05 Germany: KoMSO (Committee for Mathematical Modelling, Simulation and Optimisation)
- Hans Georg Bock 'Optimum Experimental Design for Nonlinear Dynamical Models -
Mathematical Basic Research of High Economic Impact'
15:30 Hungary: HU-MATHS-IN - Tibor Csendes 'Optimization of LED based public lighting units'
15:55 Ireland: Mathematics Applications Consortium for Science and Industry - Sinead Burke
'Feedback from 10 years of industrial mathematics in Ireland'
16:20 Norway: Norwegian EU-MATHS-IN Network - Markus Grasmair 'SURF imaging for contrast
improvement in ultrasound imaging'
16:45 Sweden: Swedish EU-MATHS-IN Network - Ozan Oktem 'Inverse problems in mathematical
imaging sciences and applications to the health care sector'
Martedì 20 dicembre 2016
Ore 09:00, Accademia dei Lincei, via della Lungara 230
Workshop: Models, Simulation, Optimization: Mathematical Technologies
for Industrial Innovation in Europe
09:00 Opening Session
09:10 Austria: IMNA (Industrial Mathematics Network for Austria) - Peter
Kritzer 'Platemod: A model-based production system'
09:35 Czech Republic: Czech Network for Mathematics in Industry - Miroslav
Tuma 'Modeling and Simulation of Float Glass Forming Process'
10:00 France: AMIES (Agence pour les mathematiques en interaction avec l'entreprise
et la societe) - Stephane Cordier 'Some AMIES supported success stories in France
with EDF, St Gobain, PREDICAL, Cie du vent, POLLEN, Hager'
10:25 Poland: Polish Service Network for mathematics in Industry and Innovations
PL-MATHS-IN - Wojciech Okrasinski 'Modelling of the machines damage detection for
Polish mines'
10:50 Portugal: PT-MATHS-IN - Manuel Cruz 'Modeling, Simulating and Optimizing the
stock of an automotive spare parts wholesaler'
11:30 Spain: math-in (Red espa ̃ nola matematica-industria) - Carlos Pares 'Some
successful stories of the Spanish Network for Mathematics & Industry math-in'
11:55 The Netherlands: Platform Wiskunde Nederland - Kees Vuik 'Boosting Productivity
of an Alumina Cement Plant through Computational Fluid Dynamics'
12:20 United Kingdom: William Lee 'Predicting Alumina Quality'
12:45 Italy: Sportello Matematico per l'Industria Italiana - Maurizio Ceseri 'Innovating
Confocal Microscopy at Crestoptics: a Success Story of the Italian Network'
Martedì 20 dicembre 2016
Ore 14:30, aula 311, Università di Roma Tre, l.go san L. Murialdo 1
Seminario di Fisica Matematica
Livia Corsi (GeorgiaTech, Atlanta)
Periodic Driving at High Frequencies of an Impurity in the Isotropic XY Chain
I'll consider the isotropic XY chain with a transverse magnetic field
acting on a single site and analyse the long time behaviour of the
time-dependent state of the system when a periodic perturbation drives
the impurity. I'll show that for high frequencies the state approaches
a periodic orbit synchronised with the forcing and provide the
explicit rate of convergence to the asymptotics. This is a joint work
with G. Genovese
Martedì 20 dicembre 2016
Ore 14:30, Accademia dei Lincei, via della Lungara 230
Workshop: Models, Simulation, Optimization: Mathematical Technologies
for Industrial Innovation in Europe
Institutional Round Table
Official Greetings: Mario Stefanini, Centro Linceo Interdisciplinare
Introduction: The potential benefits of Mathematical Technologies
for Industrial Innovation - Massimo Inguscio, President of the
National Research Council
MISE Policies to foster Knowledge Transfer in the field of
Mathematical Technologies
Antonio Bartoloni, MISE, Sustainable Development and Competitiveness
Policies Department
Mathematical Technologies and Innovation: CNR-Confindustria and the
SPIN platform experiences: Nicoletta Amodio, Confindustria, Industrial
Policies Area
Future and Emerging Technologies (FET) in Horizon 2020: Daniela
Corda, National Research Council, Italian Delegate for Horizon 2020
Innovation: a driver for boosting employment in Europe: Cinzia
Maiolino, CGIL, Industrial Policies Coordination
Martedì 20 dicembre 2016
Ore 16:00, aula D'Antoni, Università di Roma Tor Vergata
seminario
Sofia Tirabassi (University of Bergen)
(Twisted) derived categories of Enriques surfaces in characteristic 2
We show that the (twisted) derived category recognizes the three types of Enriques
surfaces in characteristic 2.
Mercoledì 21 dicembre 2016
Ore 15:00, aula di Consiglio
seminario di Algebra e Geometria
Matteo Braghiroli (Sapienza)
Holomorphic curves and covariantly constant spinors on K3 surfaces
In this talk, I will present the main results of my PhD thesis. Let there be S a
Riemann surface and M a compact, simply connected hyper-Kahler manifold of real
dimension 4, and let X be an isometric immersion of S in M.
From a covariantly constant spinor one can costruct a complex structure on M that
makes it a K3 surface. Then, what I prove is that X is a holomorphic map with respect
to such structure on M if and only if the spinor is annihilated by some projector
associated to X.
It follows from this fact the identication, well-known in super-symmetric string theory,
of BPS states on a K3 with holomorphic vertical curves on its twistor family.
Mercoledì 21 dicembre 2016
Ore 15:30, aula da definirsi
seminario di Modellistica Differenziale Numerica
Roberto Mecca (Cambridge)
Recent advances for the near field photometric stereo problem
Shape from Shading and Photometric Stereo are two fundamental problems in Computer Vision
aimed at reconstructing surface depth given either a single image taken under a known light
source or multiple images taken under different illuminations, respectively. Shape from
shading with multiple light sources is an active research area, and a diverse range of
approaches have been proposed in recent decades. However, devising a robust reconstruction
technique still remains a challenging goal, as the image acquisition process is highly
nonlinear. Recent Photometric Stereo variants rely on simplifying assumptions in order
to make the problem solvable: light propagation is still commonly assumed to be uniform,
and the Bidirectional Reflectance Distribution Function is assumed to be diffuse, with
limited interest for specular materials. In this talk, a well-posed formulation based on
PDEs for a unified reflectance function that can model both diffuse and specular reflections
will be introduced as well as a new formulation of the problem dealing with additive bias.
These derivations are based on ratio of images, which makes the model independent from
photometric invariants and yields a well-posed system of quasi-linear PDEs with
discontinuous coefficients.
Mercoledì 21 dicembre 2016
Ore 16:00, aula di Consiglio
discussione di tesi di Dottorato
Sara Perna (Sapienza)
Siegel modular forms: some geometric applications
In this talk I will show some geometric applications of the theory of Siegel modular forms.
The first result I will present is a generalization of Mukai's result about the existence of
a degree 8 automorphism of the Igusa quartic, a compactification of a moduli space of
principally polarized abelian varieties with some extra structure.
Although I will mostly talk about Siegel modular forms as tools for the study of complex
abelian varieties and their moduli spaces, they also represent an interesting and rich
subject by themselves in the theory of automorphic forms. Indeed I will give a new construction
of vector-valued modular forms from scalar-valued ones involving some multi-linear
algebra constructions. As an application I will show the identity of two remarkable spaces of
vector-valued modular forms. Finally I will give a new characterization of the locus of
decomposable principally polarized abelian varieties through the image of the smooth 2-torsion
points on the theta divisor.
Mercoledì 21 dicembre 2016
Ore 16:00, aula Amaldi, dipartimento di Fisica
seminario
Michael Levitt (Stanford)
Birth & Future of Multiscale Modeling of Macromolecules
The development of multiscale models for complex chemical systems began in 1967 with
publications by Warshel and Levitt recently recognized by the 2013 Nobel Committee
for Chemistry. The simplifications used then at the dawn of the age of computational
structural biology were mandated by computers that were almost a billion times less
cost-effective than those we use today. These same multiscale models have become
increasingly popular in application that range from simulation of atomic protein motion,
to protein folding and explanation of enzyme catalysis. In this talk I describe the
origins of computational structural biology and then go on to show some of the most
exciting current and future applications.
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