Notiziario Scientifico
Notiziario dei Seminari di carattere matematico
a cura del Dipartimento 'G. Castelnuovo'
Sapienza Università di Roma
Settimana dal 26 ottobre al 1 novembre 2015
Lunedì 26 ottobre 2015
Ore 14:30, aula di Consiglio
Seminario di Analisi Matematica
Nassif Ghoussoub (University of British Columbia)
On the structure of optimal martingale transport
plans in general dimensions
I will describe the profile of optimal solutions of the
martingale counterpart of the Monge mass transport problem.
These are one-step martingales that maximize or minimize the
expected value of the modulus of their increment among all
martingales having two prescribed -convex ordered- probability
measures as marginals. While there is a great deal of results
'mostly established by the mathematical financial community'
when the marginals are probabilities on the real line, much less
is known in the richer and more delicate higher dimensional setting.
Martedì 27 ottobre 2015
Ore 11.30, aula 116, IAC-CNR, Via dei Taurini 19
Seminario di Matematica Applicata
Kumbakonam R. Rajagopal (University Texas A&M)
The Mechanics and Mathematics of Bodies Described by Implicit
Constitutive Equations
After discussing the need for implicit constitutive relations to
describe the response of both solids and fluids, I will discuss
applications wherein such implicit constitutive relations can be
gainfully exploited. It will be shown that such implicit relations
can explain phenomena that have hitherto defied adequate explanation
such as fracture and the movement of cracks in solids, the response
of biological matter, and provide a new way to look at numerous
non-linear phenomena exhibited by fluids. They provide a totally
new and innovative way to look at the problem of Turbulence.
It also turns out that classical Cauchy and Green elasticity
are a small subset of the more general theory of elastic bodies
defined by implicit constitutive equations.
Martedì 27 ottobre 2015
Ore 14.30, aula Dal Passo, Università di Roma Tor Vergata
Seminario di Equazioni Differenziali
Xiaosen Han (Università di Roma Tor Vergata)
Some Recent Progress on Non-Abelian Chern-Simons-Higgs Vortex Equations
In this talk some recent progress on non-Abelian Chern-Simons-Higgs vortex
equations will be presented. First, we will review the classical Abelian Higgs
and Chern-Simons-Higgs model, and the related elliptic pdes with related results.
Second, we recall the non-abelian Chern-Simons-Higgs vortex equations and report
an existence theorem with a sketch of proof.
At last, we mention some related problems and open questions
Martedì 27 ottobre 2015
Ore 15.30, aula De Blasi, Università di Roma Tor Vergata
Seminario di Geometria Algebrica
Edoardo Sernesi (Università di Roma Tre)
Argomenti basilari di teoria delle deformazioni
Mercoledì 21 ottobre 2015
Ore 14.30, aula di Consiglio
Seminario di Algebra e Geometria
Jürg Kramer
Mumford's theorem on mixed Shimura varieties: the case of a line
bundle on the universal elliptic curve
In the case of a Shimura variety X of non compact type,
by a theorem of Mumford, automorphic vector bundles
equipped with the natural invariant metric have a unique
extension to vector bundles over a toroidal compactification
of X equipped with a logarithmically singular hermitian
metric. This result is crucial to define arithmetic Chern
classes for these vector bundles. It is natural to ask
whether Mumford's result remains valid for 'automorphic'
vector bundles on mixed Shimura varieties.
In our talk we will examine the simplest case, namely the
Jacobi line bundle on the universal elliptic curve, whose
sections are Jacobi forms. We will show that Mumford's
result cannot be extended directly to this case since a new
type of metric singularity appears. By using the theory of
b-divisors, we show however that an analogue of Mumford's
extension theorem can be obtained in this setting.
Mercoledì 28 ottobre 2015
Ore 15.00, aula B, Università di Roma Tre,
via della Vasca Navale 84
Seminario di Astrofisica
Riccardo Claudi (INAF)
First science with SPHERE
The Spectro-Polarimetric High-contrast Exoplanet Research (SPHERE)
facility mounted at ESO-VLT aims at discovering giant extrasolar
planets in the proximity of bright stars and characterising them
through spectroscopic and polarimetric observations.
SPHERE is a complete system with a core made of an extreme-Adaptive
Optics (XAO) turbulence correction, a pupil tracker and NIR and
Visible coronagraph devices. At its back end, a differential dual
imaging camera (IRDIS) and an integral field spectrograph (IFS) work
in the Near Infrared (NIR) (0.95≤lambda≤2.32 μm) while a high
resolution polarization camera covers the visible domain
(0.6≤lambda≤0.9 μm).
The IFS is a low resolution spectrograph (R∼50) that operates in the
near IR (0.95≤lambda≤1.6 μm), an optimal wavelength range for the
detection of planetary features, over a field of view of about 1.7x1.7
square arcsecs. From spectra it is possible to reconstruct
monochromatic images with high contrast (10-6 at 0.5 arcsec)
and high spatial resolution, well inside the star PSF.
The commissioning of the instrument ended in October 2014 and ESO has
already offered SPHERE to the community. In this presentation several
results obtained during the commissioning and science verification
phase will be described.
Giovedì 29 ottobre 2015
Ore 14.00, aula 211, Università di Roma Tre,
l.go san L. Murialdo 1
Seminario di Geometria
Giuseppe Tinaglia (King's College, London)
The geometry of constant mean curvature disks embedded
in R3
In this talk I will survey several results on the geometry of
constant mean curvature surfaces embedded in R3.
Among other things I will prove radius and curvature estimates for
nonzero constant mean curvature embedded disks. It then follows from
the radius estimate that the only complete, simply connected surface
embedded in R3 with constant mean curvature is the
round sphere. This is joint work with Bill Meeks.
Giovedì 29 ottobre 2015
Ore 15:00, aula G
Seminario di Storia e Didattica della Matematica
Dame Celia Hoyles
Unlocking mathematics in the digital era
Despite the ubiquity of mathematics as a substrate on which
our culture and societies are built, there is often little
more than a rhetorical acceptance of its importance from a
pedagogical point of view. We outline a series of research
and policy initiatives that have formed the basis of our
own work in addressing this problem across the years, as
well as that of other scholars in the field of mathematics
education.
Giovedì 29 ottobre 2015
Ore 16:30, aula G
Seminario di Storia e Didattica della Matematica
Richard Noss
Stories from the ScratchMaths experiment: teaching
mathematics through programming
We sketch the background of our ScratchMaths project, our
current struggle to design a new kind of mathematics curriculum
based on programming. Working with 9-11 year old students, we
are learning some lessons for design, and we will share some
stories from this work on the ways in which using programming
as a medium for exploring mathematics can open new mathematical
doors for learners new ways to learn and teach as well as new
things to learn.
Tutte le informazioni relative a questo notiziario devono pervenire
esclusivamente all'indirizzo di posta elettronica
seminari@mat.uniroma1.it
entro le ore 24 del giovedì precedente la settimana di pubblicazione.
Le comunicazioni pervenute in ritardo saranno ignorate.
Tutti coloro che desiderano ricevere questo notiziario via e-mail sono
invitati a comunicare il proprio indirizzo di posta elettronica a
seminari@mat.uniroma1.it.
Il Direttore