Notiziario Scientifico
Notiziario dei seminari di carattere matematico
a cura del Dipartimento di Matematica G. Castelnuovo
Sapienza Università di Roma
Settimana dal 29 ottobre al 4 novembre 2018
Lunedì 29 ottobre 2018
convegno ERC workshop on nonlinear dispersive PDE's
- aula di Consiglio:
- 9:00 Oana Ivanovici
- 10:00 Nicola Visciglia
- 11:00 coffee break
- 11:30 Scipio Cuccagna
- aula Picone:
- 15:30 David Beltran
- 16:30 coffee break
- 17:00 Yvan Martel
Lunedì 29 ottobre 2018
Ore 14:15, aula di Consiglio
seminario di Equazioni Differenziali
Enrique Zuazua (DeustoTech (Bilbao) - UAM (Madrid) - Sorbonne Université)
Population dynamics: modelling and control
This lecture is devoted to present recent joint work in collaboration with D. Maity and M. Tucsnak
(Univ. Bordeaux) on a linear system in population dynamics involving age structuring and spatial
diffusion (of Lotka-McKendrick type). The model and its adjoint are of non-local nature because of
the mutual effects of populations of different ages. This leads to interesting problems related to
the propagation of information along the system, leading to non-standard difficulties in the frame
of the control and observation of those systems. We develop a method to tackle these issues based on
a combination of propagation along characteristic plus diffusion. Our results are so far limited to
populations where fertility vanishes at early ages, an assumption that is not realistic for all species.
We also show that controlled trajectories preserve positivity if the control time horizon is large enough.
Lunedì 29 ottobre 2018
Ore 15:00, aula 009 - Pal.C, dipartimento di Matematica e Fisica, Università di Roma Tre,
largo san Leonardo Murialdo 1
seminario di Geometria/Probabilità
Daniele Agostini (Max-Plank Institute fur Mathematik, Leipzig)
Discrete Gaussians, theta functions and abelian varieties
The Gaussian distribution is a central object in mathematics and it
can be characterised as the unique probability on the real numbers
that maximises entropy, for fixed mean and variance. It turns out that
the same property can be used to define a discrete Gaussian
distribution on the integers. Moreover, the discrete Gaussian is
parametrised naturally by the Riemann theta function, and, as such, it
has a natural connection to the theory of abelian varieties in
algebraic geometry. The aim of the talk is to present this connection
and to show how question in probability give rise to natural problems
in algebraic geometry and viceversa. This is joint work with Carlos
Amendola (TU Munich).
Martedì 30 ottobre 2018
convegno ERC workshop on nonlinear dispersive PDE's
- aula di Consiglio:
- 9:00 Pierre Lissy
- 10:00 Damiano Foschi
- 11:00 coffee break
- 11:30 David Lafontaine
- aula B:
- 14:30 Ludovick Gagnon
- 15:30 coffee break
- 16:00 Felice Iandoli
Martedì 30 ottobre 2018
Ore 14:00, aula di Consiglio
Giacomo di Gesu' (Universita' di Vienna)
Small noise asymptotics for stochastic Allen-Cahn equations in finite volume
We consider lattice approximations of the Allen-Cahn equation on the torus perturbed by
small space-time white noise and discuss metastable transition times between the two stable phases.
Martedì 30 ottobre 2018
Ore 16:00, aula di Consiglio
Maxim Nazarov (University of York)
Cherednik operators at infinity
Heckman introduced N operators on the space of polynomials
in N variables, such that these operators form a covariant set
relative to permutations of the operators and variables, and such that
Jack symmetric polynomials are eigenfunctions of the power sums of
these operators. We introduce analogues of these N operators for
Macdonald symmetric polynomials, by using Cherednik operators. The
latter operators pairwise commute, and Macdonald polynomials are
eigenfunctions of their power sums. We compute the limits of our
operators when N tends to infinity. These limits yield a Lax operator
for Macdonald symmetric functions. This is a joint work with Evgeny
Sklyanin.
Martedì 30 ottobre 2018
Ore 16:00, aula D'Antoni, dipartimento di Matematica,
Università di Roma Tor Vergata, via della Ricerca Scientifica 1
seminario di Analisi Complessa
Uros Kuzman (University of Ljubljana)
On Poletsky theory of discs in compact (almost) complex manifolds
We provide a direct construction of Poletsky discs via local
arc approximation and a Runge-type theorem. That is, we will
discuss approximation of non-holomorphic maps in almost complex
manifolds and a certain Oka-type result by A. Gournay.
Mercoledì 31 ottobre 2018
convegno ERC workshop on nonlinear dispersive PDE's
- aula di Consiglio:
- 9:00 Florian Mehats
- 10:00 Ivan Morano
- 11:00 coffee break
- 11:30 Lucrezia Cossetti
Mercoledì 31 ottobre 2018
Ore 14:00, aula di Consiglio
seminario di Algebra e Geometria
Ivan Babenko (Université de Montpellier II)
Homology length spectrum, systolic zeta-function and isoperimetric inequalities
In the talk we will define Dirichlet type series associated with homology length spectra of
Riemannian, or Finsler, manifolds, or polyhedra, and will describe some of their analytical
properties. As a consequence we obtain an inequality analogous to Gromov's classical
intersystolic inequality, but taking the whole homology length spectrum into account rather
than just the systole.
Mercoledì 31 ottobre 2018
Ore 16:00, aula Dal Passo, dipartimento di Matematica,
Università di Roma Tor Vergata, via della Ricerca Scientifica 1
Maria Stella Adamo (Università di Catania)
The problem of continuity for representable functionals on Banach quasi *-algebras
A way to study problems concerning Quantum Statistical Mechanics is to consider locally convex quasi
*-algebras, for which Banach quasi *-algebras constitute a special class. For example, Banach
quasi *-algebras can be obtained by taking the completion of a *-algebra A0 with respect to a
norm for which the multiplication is (only) separately continuous.
In the (locally convex) quasi *-algebras setting, a relevant role is played by representable
functionals. Roughly speaking a linear functional will be called representable if it allows a GNS-like construction.
In this talk, we discuss about the problem of continuity for these functionals and some related results. We begin
our discussion by looking at the the properties of representable (and continuous) functionals, especially in the
simplest case of Hilbert quasi *-algebras. This discussion leads naturally to look at the problem of continuity
for these functionals, because no example of representable discontinuous functional is known until now. Hence,
we examine the approaches to study this problem and the results about it. If the time permits, we will discuss
about future directions and applications. This is a joint work with C. Trapani.
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seminari@mat.uniroma1.it
entro le ore 24 del giovedì precedente la settimana interessata.
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Il Direttore