Notiziario Scientifico
Notiziario dei Seminari di carattere matematico
a cura del Dipartimento 'G. Castelnuovo'
Sapienza Università di Roma
Settimana dal 15 al 21 giugno 2015
Lunedì 15 giugno 2015
Martedì 16 giugno 2015
Martedì 16 giugno 2015
Martedì 16 giugno 2015
Martedì 16 giugno 2015
Mercoledì 17 giugno 2015
Mercoledì 17 giugno 2015
Mercoledì 17 giugno 2015
Mercoledì 17 giugno 2015
Mercoledì 17 giugno 2015
Mercoledì 17 giugno 2015
Mercoledì 17 giugno 2015
Giovedì 18 giugno 2015
Giovedì 18 giugno 2015
Giovedì 18 giugno 2015
Giovedì 18 giugno 2015
Venerdì 19 giugno 2015
Venerdì 19 giugno 2015
Tutte le informazioni relative a questo notiziario devono pervenire
all'indirizzo di posta elettronica
seminari@mat.uniroma1.it
entro le ore 9 del venerdì precedente la settimana di pubblicazione.
Ore 14:30, aula Picone
14.00 Registrazione
14.30 Richard James (University of Minnesota) Invariance and the structure of matter I
16.30 Gero Friesecke (University of Munich) Crystallization in classical many-body systems I
Ore 09:30, aula Picone
09.30 Marco Cicalese (University of Munich) A variational approach to atomistic-to-continuum
limits for classical spin systems I
11.30 Sylvia Serfaty (University of Paris VI & Courant Institute) Large systems with Coulomb
and Riesz interactions: variational study and statistical mechanics I
14.30 Gero Friesecke (University of Munich) Crystallization in classical many-body systems II
Ore 11:00, aula 34, Dipartimento di Scienze Statistiche
Completely monotonic functions have applications in different
areas of mathematics, for instance, in potential theory, probability
theory, numerical and asymptotic analysis and combinatorics, modeling by
anomalous diffusion, etc. In this talk we'll present some
recent new results on complete monotonicity of three parameter
Mittag-Leffler functions, defined by Prabhakar. In 1960, Opial established
an integral inequality, which is a fundamental result in the theory of
differential or difference equations and other areas of mathematics.
Opial-type integral inequalities were considered for different kinds of
fractional derivatives and fractional integral operators for example
Riemann-Liouville, Caputo, Canavati, etc. We'll presents a class of very
general weighted Opial type integral inequalities using integral and
differential operators with kernels in fractional calculus involving
generalized Mittag-Leffler functions. Namely, ineteresting Opial type
inequalities will be given for Hilfer, Prabhakar, Hilfer-Prabhakar,
Caputo-Prabhakar and other differential and integral operators in
fractional calculus.
Ore 14:30, aula F, Università di Roma Tre
(largo san L. Murialdo)
Seminario di Fisica Matematica
We prove a Lieb-Oxford-type inequality on the indirect part
of the Coulomb energy (also known as the exchange-correlation energy)
of a general many-particle quantum state, with a lower constant than
the original statement but involving an additional gradient
correction.
The result is similar to an inequality of Benguria, Bley and Loss,
except that our correction term is purely local, which is more usual
for density functional theory. No previous knowledge of the subject
will be assumed; a short tutorial on the subject and its importance to
quantum chemistry will be presented.
Ore 15:00, aula di Consiglio
Seminario di Modellistica Differenziale Numerica
For more than two decades, the Lattice Boltzmann (LB) method has gained
increasing interest as an efficient computational scheme for the numerical
simulation of complex fluid problems across a broad range of scales, from
fully-developed turbulence in complex geometries, to multiphase microflows,
all the way down to biopolymer translocation in nanopores and lately even
quantum-relativistic flows in quark-gluon plasmas and graphene.
After a brief introduction to the main ideas behind the LB method, in this
talk we shall illustrate a few selected applications, along with prospects
for future multiscale application.
Ore 09:00, aula 16, Dipartimento SBAI
09:00 Ana Vargas: Restriction, multiplier and waves
09:35 Andrea Malchiodi: Variational aspects of Singular Liouville Equations
10:10 Miguel Escobedo: Pulsating solutions of a kinetic equation
10:45 Coffee break
11:10 Luca Rossi: Extensions of Freidlin-Gartner's formula to general reaction
terms
11:45 Eduardo Colorado: Existence and multiplicity of bound-ground states for
a system of NLS-KdV equations
12:20 Benedetta Pellacci: Quasi-Linear corrections of the Schrödinger equations
in bounded domains
Ore 09:30, aula Picone
09.30 Gero Friesecke (University of Munich) Crystallization in classical many-body systems II
11.30 Marco Cicalese (University of Munich) A variational approach to atomistic-to-continuum
limits for classical spin systems II
Ore 14:30, aula di Consiglio
Seminario di Algebra e Geometria
This talk is based on joint work with Allen Knutson and Jenna Rajchgot.
Orbit closures of quivers come up in several of areas of mathematics, for
example: representations of finite-dimensional algebras, Lusztig's construction
of the canonical basis, generalizations of determinantal varieties, and degeneracy
loci for maps of vector bundles. This talk is most related to the last one, where
'formulas' for orbit closures means their equivariant K-classes and cohomology classes.
Previous work of many people (e.g. Buch, Fulton, Feher, Rimanyi, Knutson, Miller,
Shimozono) produced such formulas in the case where all arrows of the quiver point the
same direction, often having positive structure constants in some particular basis.
We generalize some of these formulas to Type A quivers of arbitrary orientation.
The main ingredient is the bipartite Zelevinsky map constructed in previous work
of Rajchgot and mine, which identifies orbit closures with intersections of Schubert
varieties and opposite Schubert cells in a partial flag variety.
Ore 14:30, aula B, Università di Roma Tre
(via della Vasca Navale)
Seminario di Astrofisica
The presence of dark matter in the Universe has been firmly
established from the observations of its gravitational effects on
ordinary matter. On the other hand, the identification of its
fundamental nature remains one of the deepest mysteries of modern
physics. Fortunately, dark matter is expected to exhibit non-gravitational
interactions, in which case it would be not totally dark, being able to
induce electromagnetic radiation associated to cosmic structures. This
radiation has long been targeted to unveil the
elusive dark matter nature. However, the intensity of the
electromagnetic emission produced by dark matter is rather weak
compared to that of other, more conventional sources.
In our work, we aimed at efficiently extract the dark matter signal
by cross-correlating tracers of the dark matter gravitational potential
(using various galaxy catalogues) with the gamma-ray sky (observed by
the Fermi-LAT telescope). For the first time we have measured a
significant correlation signal and showed that, intriguingly, it can
be well explained by postulating a dark matter component composed of
weakly interacting particles.
Future data collection and dedicated analyses will help in
distinguishing this possibility from other astrophysical
interpretations of the signal.
Ore 14:45, aula 16, Dipartimento SBAI
14:45 Lourdes Moreno: Some Quasilinear Dirichlet Problems with natural growth
15:20 Dino Sciunzi: Qualitative properties of positive solutions to nonlocal
critical problems involving the Hardy-Leray potential
15:55 Coffee break
16:20 Jorge Garcia Melian: Multiplicity of solutions for some semilinear
elliptic equations
16:55 Alessio Porretta: Natural growth and beyond
Ore 15:30, aula di Consiglio
Seminario di Algebra e Geometria
Together with any supergroup, one can naturally associate the pair made of its
classical (i.e. non super) underlying group and its tangent Lie superalgebra,
two objects which obey some obvious mutual compatibility constraints; any similar
pair is called 'super Harish-Chandra pair' (=sHCp). This construction leading from
supergroups to sHCp's is functorial, and actually an equivalence, as an explicit
quasi-inverse functor is known.
In this talk I present a new, totally different recipe for such a quasi-inverse:
indeed, it extends to a much larger setup, with a more geometrical method.
I shall mainly adopt the point of view of algebraic (super)geometry, but the bunch
of ideas and results we shall be dealing with actually applies to the real differential,
the real analytic and the complex analytic case as well.
Ore 15:30, aula Dal Passo, Università di Roma Tor Vergata
Colloquium di Dipartimento
Heat flow monotonicity is a powerful tool towards families of functional
inequalities, from the classical Hölder inequality and its multilinear
Brascamp-Lieb extensions to entropic and isoperimetric inequalities.
The talk will feature some of these examples, as well as recent developments
on noise stability in Boolean analysis and their application to the 'Majority
is Stablest' theorem.
Ore 09:00, aula 16, Dipartimento SBAI
09:00 Angela Pistoia: Existence of solutions to supercritical problems on manifolds
09:35 Enrique Zuazua: Numerical hypocoercivity for the Kolmogorov equation
10:10 Lorenzo Giacomelli: Evolution of support for limited flux porous medium equations
10:45 Coffee break
11:10 Francisco Gancedo: Finite time blow up for the incompressible Navier-Stokes
equation with a free boundary
11:45 Manel Sanchon: Antisymmetry of solutions for some weighted elliptic problems
12:20 Isabella Ianni: Asymptotic analysis and sign-changing bubble towers for
Lane-Emden problems
Ore 10:00, aula VII, Dipartimento di Scienze Statistiche
Minicorso
Syllabus sintetico del corso:
1. Likelihood inference (first-order asymptotics)
2. Numerical and graphical aspects in R
3. Higher order asymptotics
4. Asymptotic theory for estimating equations and pseudolikelihoods
Ore 11:30, aula Picone
11.30 Sylvia Serfaty (University of Paris VI & Courant Institute) Large systems with Coulomb
and Riesz interactions: variational study and statistical mechanics II
14.30 Gero Friesecke (University of Munich) Crystallization in classical many-body systems III
16.45 Marco Cicalese (University of Munich) A variational approach to atomistic-to-continuum
limits for classical spin systems III
Ore 14:45, aula 16, Dipartimento SBAI
14:45 Ana Primo: Basic estimates for solutions of nonlocal elliptic and parabolic equations
15:20 Raul Ferreira: Blow-up for non-local p-laplacian equation
15:55 Coffee break
16:20 Juan Casado: Some extensions of the div-curl lemma and applications
16:55 Luca Fanelli: Improved time decay for magnetic Schrodinger evolutions
Ore 09:00, aula 16, Dipartimento SBAI
09:00 Michaela Porzio: On the regularization phenomena and time behavior of the
solutions to some parabolic PDE
09:35 Juan Calvo: A time slicing approach to parabolic equations on non-cylindrical domains
10:10 Aldo Pratelli: On the mass transport problem with relativistic cost
10:45 Coffee break
11:10 David Ruiz: A rigidity result for overdetermined elliptic problems in the plane
11:45 Salvador Moll: Nonlinear diffusion in transparent media
12:20 Nicola Fusco: An isoperimetric problem with a non local repulsive term
Ore 09:30, aula Picone
09:30 Sylvia Serfaty (University of Paris VI & Courant Institute) Large systems with Coulomb
and Riesz interactions: variational study and statistical mechanics III
11.30 Richard James (University of Minnesota) Invariance and the structure of matter III
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