Selected Problems in Mathematical Physics
Statistical Mechanics, Many-Body Quantum Physics and PDEs

September 1 – 5, 2014, La Spezia (Italy)

SP2014 











Organizing committee

R. Adami

M. Correggi

R. Figari

A. Giuliani

Polo Universitario
della Spezia

ERC Starting Grant
"CoMBos"

FIR
"Cond-Math"

FIRB
"Dispersive Dynamics"

PRIN 2010-11

GFNM

IAMP

Dipartimento di Fisica
Università di Napoli
"Federico II"

CMTP



Title and abstracts of the invited and contributed talks.

 

 

Programme

 

Monday 1/9
9:00 – 9:30opening & registration
9:30 – 10:20 S. Serfaty Beyond leading order asymptotics of large systems with Coulomb and Riesz interactions
10:20 – 10:50coffee break
10:50 – 11:40 F. Theil Energy-driven pattern formation: Optimal crystals
11:40 – 12:30 D. Tsakarogiannis Young-Gibbs measures for the Ising model
12:30 – 14:50lunch
14:50 – 15:10 M. Lohmann Cluster expansions for uncondensed many Boson systems
15:10 – 15:30 C. Saffirio Validity of the Boltzmann equation: short range potentials and beyond
15:30 – 16:20 D. Bambusi On metastability in the Fermi Pasta Ulam problem
16:20 – 16:50coffee break
16:50 – 17:40 G. Perelman Type II blow up solutions for the energy supercritical NLS
17:40 – 18:30 N. Visciglia On the longtime behavior of NLS in Rd x T
19:30welcome cocktail


Tuesday 2/9
9:30 – 10:20 V. Mastropietro Many-body localization in an interacting quasi periodic fermionic chain
10:20 – 10:50coffee break
10:50 – 11:40 M. Porta Mean-Field Evolution of Fermionic Systems
11:40 – 12:30 J.-B. Bru From the 2nd Law to AC-Conductivity Measures of Interacting Fermions in Disordered Media
12:30 – 15:00lunch
15:00 – 15:20 F.D. Cunden Joint linear statistics of quantum transport in chaotic cavities
15:20 – 15:40 A. Einav An Improved Entropic Inequality on Kac's Sphere
15:40 – 16:00 L. Prati The Schrödinger Equation for optical fibers: a solution in series in a perturbation approach
16:00 – 16:30coffee break
16:30 – 17:20 A. Pizzo Recent progress in foundations of two-electron scattering
17:20 – 18:10 M. Griesemer On the dynamics of Fröhlich Polarons
20:00social dinner


Wednesday 3/9
9:30 – 10:20 C. Mouhot Landau damping: Gevrey regularity and paraproducts
10:20 – 10:50coffee break
10:50 – 11:40 L. Desvillettes An entropy dissipation estimate for the Landau equation in the Coulomb case and applications
11:40 – 12:30 N. Rougerie On the derivation of non-linear Schrödinger functionals for trapped Bose gases
12:30 – 14:15lunch
14:15 – 19:30excursion


Thursday 4/9
9:30 – 10:20 F. Toninelli Height fluctuations in interacting dimers
10:20 – 10:50coffee break
10:50 – 11:40 P. Caputo Entropic repulsion and metastability for SOS interfaces on a wall
11:40 – 12:30 A. Gaudilliere TBA
12:30 – 14:50lunch
14:50 – 15:10 R. Carlone A model of a quantum particle in a quantum environment
15:10 – 15:30 S. Di Martino Monogamy of Entanglement
15:30 – 16:20 H. Duminil-Copin Continuity of the phase transition for the 3d Ising model
16:20 – 16:50coffee break
16:50 – 17:40 T. Shcherbina Universality of the local regime for some types of random band matrices
17:40 – 18:30 T. Grava Hamiltonian PDEs and dispersive shock waves


Friday 5/9
9:30 – 10:20 S. Fournais Pointwise estimates on derivatives of Coulombic wavefunctions
10:20 – 10:50coffee break
10:50 – 11:40 G. Panati A geometric characterization of the Z2 invariant of topological insulators
11:40 – 12:30 A. Michelangeli Multi-component Hartree-Maxwell system (A fragmented condensate of charged bosons)
12:30 – 12:40closing