, and is partially funded by the 2014-2017 FIR-MIUR grant "COND-MATH, Condensed Matter in Mathematical Physics".
The Seminar presents a selection of recent advances in the current mathematical research driven primarily by models and emergent effects from condensed matter and ultra-cold atoms physics, statistical physics, and theoretical physics. This involves methods and tools from functional analysis, PDE, and operator theory, and in particular: quadratic forms, spectral and scattering theory, non-linear and dispersive PDEs, singular perturbations of elliptic differential operators, self-adjoint extension theory, scaling and kinetic limits, C*-algebraic formulation of Quantum Mechanics, semi-classical analysis, numerics, and topological and geometrical methods for solid state physics.
Marko Erceg, Matteo Gallone, Gianfausto Dell'Antonio, Alessandro Michelangeli, Alessandro Olgiati, Raffaele Scandone
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Date
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Speaker
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Seminar
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25 September 2017
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Marcello Porta
(University of Zurich)
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Effective dynamics of interacting fermionic systems
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19 June 2017
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Marek Bozejko
(Wroclaw)
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Generalized Fock spaces, second quantization and ultra-contractivity of Ornstein-Uhlenbeck semigroups
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8 June 2017
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Roberta Musina
(Udine)
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On the dependence of the Spectral Fractional Laplacian on a domain
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31 May 2017
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Angelo Bassi
(University of Trieste)
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Collapse models and the challenge to the quantum superposition principle: an update
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25 May 2017
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Luca Fanelli
(Rome La Sapienza)
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About the Uncertainty Principle
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24 May 2017
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Matteo Gallone
(SISSA Trieste)
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Self-adjoint realisations of the Dirac operator with Coulomb interaction
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18 May 2017
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Marin Mišur
(Zagreb)
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Anisotropic distributions, microlocal defect functionals, and applications
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4 May 2017
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Marko Erceg
(Zagreb + SISSA Trieste)
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Friedrichs systems in a Hilbert space framework: solvability and multiplicity
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11 April 2017
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Gabriele Spada
(SISSA Trieste)
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The power of series
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28 March 2017
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Daniele Dimonte
(SISSA Trieste)
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Energy asymptotics for a fast rotating Bose-Einstein Condensate
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23 March 2017
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Raffaele Scandone
(SISSA Trieste)
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Global existence of weak solutions to the non-linear Schrödinger equation with rough, time-dependent magnetic potentials
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16 March 2017
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Alessandro Olgiati
(SISSA Trieste)
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Effective dynamics for multi-component BEC: mixtures, pseudo-spinors, fragmentation.
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9 March 2017
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Teoman Turgut
(Istanbul Boğaziçi)
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Born-Oppenheimer approximation for singular systems
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9 March 2017
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Torben Krüger
(IST Vienna)
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Stability of the matrix Dyson equation and random matrices with correlations
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2 March 2017
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Douglas Lundholm
(KTH Stockholm)
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Ground-state properties of the anyon gas
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2 March 2017
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Vieri Benci
(Pisa)
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Hylomorphic solitons
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24 February 2017
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Marcello Porta
(University of Zurich)
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Topological phase transitions in the Haldane-Hubbard model
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24 February 2017
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Stefano Lepri
(CNR-ISC Florence)
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The discrete non-linear Schrödinger equation out of equilibrium
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24 February 2017
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Rosario Fazio
(SNS Pisa and ICTP Trieste)
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Topological fractional pumping with alkaline-earth(-like) ultracold atoms
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24 February 2017
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Tomaz Prozen
(Ljubljana)
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Strongly correlated nonequilibrium steady states with currents – classical and quantum
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24 February 2017
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Valentina Ros
(CEA Saclay)
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Remanent magnetization: signature of many-body localization in quantum antiferromagnets
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23 February 2017
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Sabrina Maniscalco
(TCQP Turku)
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Quantum simulators of non-Markovian dynamics
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23 February 2017
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Michele Campisi
(SNS Pisa)
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(Quantum) Volume Entropy
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23 February 2017
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John Goold
(ICTP Trieste)
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Daemonic ergotropy: enhanced work extraction from quantum correlations
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23 February 2017
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Nilanjana Datta
(DPMMS Cambridge)
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Second-order asymptotics for quantum hypothesis testing in settings beyond i.i.d.
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23 February 2017
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Fabio Benatti
(University of Trieste)
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Hybrid mesoscopic dissipative dynamics on quantum spin chains
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22 February 2017
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Giovanni Landi
(University of Trieste)
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Sigma-models and the Schrödinger representation
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22 February 2017
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Antonello Scardicchio
(ICTP Trieste)
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Many body localisation and the glass phase
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22 February 2017
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Vieri Mastropietro
(Milan)
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Localisation of interacting fermions with quasi-random disorder
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22 February 2017
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Domenico Monaco
(Tübingen)
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Localisation dichotomy for gapped periodic quantum systems
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22 February 2017
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Raffaello Bianco
(Rome La Sapienza)
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Orbital magnetization in insulators: bulk versus surface
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22 February 2017
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Horia Cornean
(Aalborg)
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On the multiple-logarithm method in constructing exponentially localized composite Wannier functions
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21 February 2017
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Andrea Trombettoni
(CNR Democritos Trieste)
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Tunneling-based quantum devices with ultra-cold strongly interacting atoms
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21 February 2017
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Serena Cenatiempo
(GSSI L'Aquila)
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Analysis of fluctuations around non linear Schrödinger dynamics
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21 February 2017
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Giulia Semeghini
(LENS Florence)
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3D Anderson localization and liquid quantum droplets with ultra-cold atoms
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21 February 2017
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Mario Pulvirenti
(Rome La Sapienza)
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From N-Body Schrödinger to Hartree: Uniformity in the Planck constant
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21 February 2017
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Marcello Dalmonte
(ICTP Trieste)
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Lattice gauge theories in AMO systems: from spin ices to SU(N)
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21 February 2017
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Sandro Stringari
(INO-CNR BEC Center Trento)
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Superfluidity in spin-orbit coupled Bose-Einstein condensates
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20 February 2017
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Lev Pitaevskii
(ICTP Trieste)
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Solitons in two-component Bose-Einstein condensates
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20 February 2017
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Alessandro Teta
(Rome La Sapienza)
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Efimov effect for a three-particle system with two identical fermions
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20 February 2017
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Angelo Bassi
(University of Trieste)
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Collapse models and many-body quantum systems
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20 February 2017
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Johannes Hofmann
(Cavendish Laboratory Cambridge)
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Deep inelastic scattering on ultra-cold gases
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20 February 2017
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Giacomo Roati
(LENS Florence)
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Experiments with strongly interacting atomic Fermi gases
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16 February 2017
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Phan Thanh Nam
(Masaryk Brno)
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Collective behaviors of weakly interacting Bose gases - III
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14 February 2017
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Phan Thanh Nam
(Masaryk Brno)
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Collective behaviors of weakly interacting Bose gases - II
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13 February 2017
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Phan Thanh Nam
(Masaryk Brno)
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Collective behaviors of weakly interacting Bose gases - I
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9 February 2017
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Jean-Philippe Miqueu
(Aarhus)
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Spectral analysis of the magnetic Laplacian with vanishing magnetic field
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2 February 2017
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Chiara Saffirio
(University of Zurich)
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Mean field evolution of fermions with Coulomb interactions
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2 February 2017
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Giuseppe Genovese
(University of Zurich)
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Invariant measures for the periodic derivative non-linear Schrödinger equation
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26 January 2017
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Costanza Benassi
(University of Zurich)
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Decay of correlations in 2d quantum systems
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25 January 2017
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Domenico Finco
(UTIU Rome)
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On the ground state for the non-linear Schrödinger equation on a graph
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18 January 2017
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Heide Narnhofer
(Vienna)
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Results and open problems for the time evolution of continuous systems
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12 January 2017
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Diego Noja
(Milan Bicocca)
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A Dirac field coupled with classically moving nuclei
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15 December 2016
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Niels Benedikter
(Copenhagen)
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Effective evolution equations for many-body fermionic systems
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2 December 2016
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Emanuela Giacomelli
(Rome La Sapienza)
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Surface superconductivity in presence of corners (for type-II superconductors)
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9 November 2016
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Raffaele Scandone
(SISSA Trieste)
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On fractional powers of Schrödinger operators with point interactions
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9 November 2016
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Rodolfo Figari
(Naples)
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Quantum beating in a non-linear point interaction double-well potential
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9 November 2016
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Davide Fermi
(Como Insubria)
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Casimir energy for singular potentials concentrated on a plane
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9 November 2016
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Lorenzo Tentarelli
(Naples)
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Well-posedness of the two-dimensional NLS with concentrated non-linearity
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9 November 2016
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Raffaele Carlone
(Naples)
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The 1D Dirac equation with concentrated non-linearity
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9 November 2016
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Vladimir Lotoreichik
(UJF-CAS Prague)
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Optimization of the lowest eigenvalue for surface δ-interactions and for Robin Laplacians
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8 November 2016
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Markus Holzmann
(TU Graz)
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An extension-theoretic approach to the study of Dirac operators with δ-shell interactions supported on surfaces
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8 November 2016
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Konstantin Pankrashkin
(Paris-Sud)
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Eigenvalue inequalities and absence of threshold resonances for wave-guide junctions
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8 November 2016
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Andrea Posilicano
(Como Insubria)
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On the Calderon uniqueness problem with non-regular conductivity
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8 November 2016
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Claudio Cacciapuoti
(Como Insubria)
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Existence of ground state for the NLS on star-like graphs
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8 November 2016
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Andrea Ottolini
(Stanford)
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On point interactions realised as Ter-Martirosyan--Skornyakov Hamiltonians
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8 November 2016
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Giulia Basti
(Rome La Sapienza)
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Efimov effect for a system of two identical fermions and a different particle
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7 November 2016
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Yvan Castin
(LKB-ENS Paris)
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Unitary gases
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7 November 2016
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Sergio Albeverio
(Bonn)
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Point interactions – Some souvenirs and some new developments
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27 October 2016
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Nenad Antonić
(Zagreb)
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Friedrichs systems with complex coefficients
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20 October 2016
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Scipio Cuccagna
(University of Trieste)
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On the asymptotic stability of the ground states of the non-linear Schrödinger equation
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13 October 2016
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Kenji Yajima
(Tokyo Gakushuin)
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On the propagator of Schrödinger operators
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11 July 2016
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Andrea Ottolini
(SISSA Trieste)
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Self-adjoint extension theories and models of zero-range interactions
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16 June 2016
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Ugo Boscain
(CNRS and Ecole Polytechnique)
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Introduction to quantum control - II
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14 June 2016
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Ugo Boscain
(CNRS and Ecole Polytechnique)
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Introduction to quantum control - I
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9 June 2016
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Gian Michele Graf
(ETH Zurich)
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Time-reversal invariant topological insulators and a comparison of indices
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6 June 2016
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Vladimir Georgiev
(Pisa)
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Scattering of small solutions of the cubic non-linear Schrödinger equation with short-range potentials
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24 May 2016
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Valentina Ros
(SISSA Trieste)
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Interacting quantum systems with disorder: localisation and integrals of motion
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19 May 2016
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Stefan Teufel
(Tübingen)
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The non-linear Schrödinger limit for bosons in a quantum wave-guide
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19 May 2016
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Andrea Trombettoni
(SISSA Trieste)
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Quantum simulations of the Kondo effect in Y-junctions of 1D waveguides with ultra-cold bosons
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12 May 2016
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Guglielmo Feltrin
(SISSA Trieste)
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High multiplicity of positive solutions to indefinite boundary value problems: a topological approach
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12 May 2016
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Alessandro Fonda
(University of Trieste)
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Periodic solutions of Hamiltonian systems arising from the Poincaré-Birkhoff theorem
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4 May 2016
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Christian Kühn
(TU Graz)
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Schrödinger operators with delta-interactions on curves in R^3
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21 April 2016
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Serena Cenatiempo
(GSSI L'Aquila)
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A norm approximation to the boson many-body dynamics
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11 March 2016
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Nikolai Leopold
(LMU Munich)
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Mean-field limits of charged particles in interaction with their radiation field
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3 March 2016
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Raffaele Resta
(University of Trieste)
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The geometry of the insulating state of matter
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3 March 2016
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Lorenzo Piroli
(SISSA Trieste)
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Non-equilibrium dynamics in many-body quantum integrable systems
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29 February 2016 - 11 March 2016
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Peter Pickl
(LMU Munich)
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Quantum many-body dynamics and effective evolution equations (graduate course)
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25 February 2016
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Rodolfo Figari
(Naples)
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Tracks of a quantum particle in quantum environments
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18 February 2016
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Mario Pulvirenti
(Rome La Sapienza)
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Scaling limits and kinetic equations
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5 February 2016
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Fabio Benatti
(University of Trieste)
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Dissipative dynamics on large spin chains - Part II
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4 February 2016
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Fabio Benatti
(University of Trieste)
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Dissipative dynamics on large spin chains - Part I
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28 January 2016
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Andrea Posilicano
(Como Insubria)
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Limiting absorption principle, generalised eigenfunction expansions, and scattering matrix for Laplace operators with boundary conditions on hyper-surfaces
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28 January 2016
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Jussi Behrndt
(TU Graz)
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Scattering matrices and Dirichlet-to-Neumann maps
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21 January 2016
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Andrea Sacchetti
(Modena)
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Non-linear Schrödinger equation with periodic potential (plus Stark-type perturbation)
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14 January 2016
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Gustavo De Oliveira
(SISSA Trieste)
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Quantum dynamics of a particle constrained to lie on a surface
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18 December 2015
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Teoman Turgut
(Istanbul Boğaziçi)
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Some ideas for Bose-Einstein condensation on a manifold
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17 December 2015
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Susanna Terracini
(Turin)
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On Aharonov-Bohm operators with varying poles
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10 December 2015
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Roberto Longo
(Rome Tor Vergata and CMTP)
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Where infinite spin particles are localizable
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7 December 2015
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Teoman Turgut
(Istanbul Boğaziçi)
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Heat kernel approach to singular problems
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3 December 2015
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John Barrett
(Nottingham)
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Random non-commutative geometries
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26 November 2015
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Giuseppe Marmo
(Naples)
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Geometric formulation of Quantum Mechanics: states and evolution
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19 November 2015
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Detlef Dürr
(LMU Munich)
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What is the mystery of Quantum Physics?
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12 November 2015
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Jan Dereziński
(Warsaw)
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Canonical commutation relations and Bogoliubov transformations
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5 November 2015
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Federico Carollo
(University of Trieste)
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Non-Markovian many-body dynamics
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29 October 2015
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Pavel Exner
(CAS Prague)
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Schrödinger operators exhibiting a parameter-dependent spectral transition
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22 October 2015
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Antti Knowles
(ETH Zurich)
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Local eigenvalue statistics for random regular graphs
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17 June 2015
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Benjamin Schlein
(University of Zurich)
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Time evolution of quantum systems in the BCS approximation
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11 June 2015
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Diego Noja
(Milan Bicocca)
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Bifurcation and stability of standing waves for non-linear Schrödinger equation on a tadpole graph
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5 June 2015
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Alessandro Giuliani
(University of Rome 3)
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Quantum Hall effect in the interacting Haldane model
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4 June 2015
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Fabio Benatti
(University of Trieste)
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Quantum fluctuations, dissipation, and mesoscopic entanglement
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14 May 2015
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Alexander Lorz
(UPMC Paris, Laboratoire Jacques-Louis Lions)
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At the crossroads of evolutionary PDEs, numerics, and biology: population dynamics and therapeutic resistance - mathematical models
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6 May 2015
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Gianluca Panati
(Rome La Sapienza)
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Geometry and localization in periodic Schrödinger dynamics
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27 April 2015
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Giuseppe de Nittis
(Erlangen)
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The topology of chiral vector bundles
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26 March 2015
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Andrea Trombettoni
(Democritos Trieste)
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Suppression of Landau instability for supersonic superfluid flows
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19 March 2015
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Balázs Hetényi
(Bilkent University Ankara)
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The topology of ideal conduction
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17 March 2015
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Balázs Hetényi
(Bilkent University Ankara)
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Supersolidity in the bosonic Hubbard model
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12 March 2015
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Riccardo Adami
(Polytechnic University Turin)
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Ground states for the non-linear Schrödinger equation on graphs: existence and non-existence results
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5 March 2015
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Claudia Negulescu
(UPS Toulouse III)
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Numerical aspects concerning an efficient resolution of the Schrödinger equation. Application to decoherence.
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12 February 2015
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Valter Moretti
(Trento)
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Frame functions in finite-dimensional Quantum Mechanics and its Hamiltonian formulation on complex projective spaces
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29 January 2015
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Daniele Guido
(Rome Tor Vergata)
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Crossed product of a spectral triple with a single endomorphism
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22 January 2015
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Naiara Arrizabalaga
(UPV/EHU Bilbao)
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Shell interactions for Dirac operators
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13 January 2015
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Nicola Visciglia
(Pisa)
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A revised version of the Brézis-Gallouët technique
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11 December 2014
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Domenico Monaco
(SISSA Trieste)
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Geometry in Solid State Physics: the case study of topological insulators
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4 December 2014
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Peter Pickl
(LMU Munich)
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Derivation of the semiclassical Schrödinger equation from Quantum Electrodynamics
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20 November 2014
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Alexander K. Motovilov
(JINR Dubna)
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Bounds on perturbations of spectra and spectral subspaces
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6 November 2014
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Paolo Antonelli
(GSSI L'Aquila)
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On a class of non-linear Schrödinger equations with non-linear damping
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30 October 2014
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László Zsidó
(Rome Tor Vergata)
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On Woronowicz's approach to the Tomita-Takesaki theory
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