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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