Notiziario Scientifico
Notiziario dei Seminari di carattere matematico
a cura del Dipartimento 'G. Castelnuovo'
Sapienza Università di Roma
Settimana dal 9 al 15 novembre 2015
Lunedì 9 novembre 2015
Ore 11:00, aula B
Incontro di lavoro su Calcolo delle Variazioni e Γ-convergenza/
Working seminar on Calculus of Variations and Γ-convergence
Nadia Ansini (Sapienza Università di Roma)
Minimising movements along oscillating energies at the
critical regime. A case study
Lunedì 9 novembre 2015
Ore 14:30, aula di Consiglio
Seminario di Analisi Matematica
Thierry Paul (CMLS, Ecole Polytechnique)
Flows below Cauchy-Lipschitz as asymptotic limits of PDE's ones
Lunedì 9 novembre 2015
Ore 15:00, aula D'Antoni, Università di Roma Tor Vergata
Seminario di Analisi Complessa
Nessim Sibony (Orsay)
Pfaff systems, currents and hulls
Let S be a Pfaff system of dimension 1, on a compact complex
manifold M. We prove that there is a positive ddbar closed current
T of mass 1 directed by the Pfaff system S. There is no integrability
assumption. We also show that local singular solutions exist always.
Using i\ddbar-negative currents, we discuss Jensen measures, local
maximum principle and hulls with respect to a cone P of smooth
functions in the Euclidean complex space, subharmonic in some
directions. The case where P is the cone of plurisubharmonic
functions is classical. We use the results to describe the
harmonicity properties of the solutions of equations of homogeneous,
Monge-Ampère type. We also discuss extension problems of
positive directed currents.
Martedì 10 novembre 2015
Ore 12:00, aula E
Corso di Dottorato
Sergio Doplicher (Sapienza Università di Roma)
Algebre di Operatori I
Martedì 10 novembre 2015
Ore 14:30, aula Dal Passo, Università di Roma Tor Vergata
Seminario di Equazioni Differenziali
Angela Pistoia (Sapienza Università di Roma)
Toda system: degree and blow-up
We prove existence of continua of solutions to a SU(3) Toda system
which exhibit partial blow-up or asymmetric blow-up. The results
have been obtained in collaboration with Teresa D'Aprile and David Ruiz.
Martedì 10 novembre 2015
Ore 14.30, aula 311, Università di Roma Tre,
largo san L. Murialdo 1
Seminario di Fisica Matematica
Lorenzo Tentarelli (Politecnico di Torino)
NLS equation on metric graphs with localized nonlinearities
Martedì 10 novembre 2015
Ore 15.30, aula 311, Università di Roma Tre,
largo san L. Murialdo 1
Seminario di Fisica Matematica
Boris Pawilowski (Rennes)
Bosonic mean field for discrete models
We deal with approximations of the time-dependent linear many
body Schrödinger equation with a two particles interaction
potential, by introducing a discrete version of the equation and
mean field limits. We consider the bosonic Fock space in a finite
dimensional setting.
Mathematical tools include the reduced density matrices and Wigner
measure techniques exploiting the formal analogy to semi-classical
limits.
Mercoledì 11 novembre 2015
Ore 16.00, aula F, Università di Roma Tre,
largo san L. Murialdo 1
Seminario di Fisica Matematica
Attila Petho' (University of Debrecen)
Algorithmic and numerical solution of diophantine equations
In our talk we give an overview on the development of the algorithmic
and numerical theory of diophantine equations from Hilbert's problems
until today. We focus our attention to the application of tools of
transcendental and algebraic number theory as well as to diophantine
approximation algorithms.
Giovedì 12 novembre 2015
Ore 14.00, aula 211, Università di Roma Tre,
largo san L. Murialdo 1
Seminario di Geometria
Maksym Fedorchuk (Boston College)
GIT semistability of Hilbert points of Milnor algebras
The famous Mather-Yau theorem says that two isolated
hypersurface singularities are biholomorphically equivalent
if and only if their moduli algebras are isomorphic. However,
the reconstruction problem of explicitly recovering the singularity
from its moduli algebra is open. In the case of quasi-homogeneous
hypersurface singularities, Eastwood and Isaev proposed an
invariant-theoretic approach to the reconstruction problem.
For homogeneous hypersurface singularities, Alper and Isaev gave a
geometric invariant theory reformulation of this approach, in which
GIT stability of the Hilbert points of the Milnor algebra of the
singularity plays a key role. In particular, Alper and Isaev pose
several problems concerning GIT stability of the associated form
and the gradient point of a homogeneous form, which they recently
solved in the binary case and in the case of generic forms in any
number of variables.
In my talk, I will explain these recent developments. I will then
proceed to prove semistability of the gradient point of a semistable
form, and semistability of the associated form of a non-degenerate
form. This will answer several (but not all) questions of Alper
and Isaev.
Venerdì 13 novembre 2015
Ore 11.30, aula 311, Università di Roma Tre,
largo san L. Murialdo 1
Seminario di Fisica Matematica
Attila Petho' (University of Debrecen)
Results and problems around a discrete dynamical system
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