Advertisement  •  ICMP 2018 in Montreal!

Monday 21 August

09:15-09:30  •  Welcome
09:30-10:00  •  Benjamin Schlein  •  Dynamics of Bose Einstein Condensates
10:05-10:35  •  Serena Cenatiempo  •  Spectral properties of Bose gases interacting through singular potentials
10:40-11:20  •  Coffee break
11:20-11:50  •  Christian Hainzl  •  Critical BCS-temperature in a constant magnetic field
11:55-12:25  •  Steve Zelditch  •  Nodal sets and geometric control
12:30-13:00  •  Israel Michael Sigal  •  The Bogolubov-de Gennes Equations
13:00-15:00  •  Lunch

15:00-18:00  •  Benjamin Schlein, Robert Seiringer
session on Dilute Bose gases and the Gross-Pitaevskii limit

Since the first experimental achievement of Bose-Einstein condensation in cold atomic gases more than 20 years ago, there has been a surge of activity on this topic in experimental, theoretical and mathematical physics. Of particular relevance is the Gross-Pitaevskii regime of dilute, trapped gases, which can be thought of as a combined thermodynamic and low density limit. We review old and recent results on the validity of the Gross-Pitaevskii description for the ground state energy, dynamics, and excitation spectrum of bosonic many-body quantum systems.

18:00  •  Welcome party in the garden

Tuesday 22 August

09:30-10:00  •  Stefan Teufel  •  Non-equilibrium almost-stationary states for interacting electrons on a lattice
10:05-10:35  •  Bruno Nachtergaele  •  Stability of the superselection sectors of abelian quantum double models
10:40-11:20  •  Coffee break
11:20-11:50  •  Alain Joye  •  Full statistics of Landauer's principle in adiabatic repeated interactions systems
11:55-12:25  •  Volker Betz  •  The shape of the emerging condensate in effective models of condensation
12:30-13:00  •  Antti Knowles  •  Isotropic local laws for random matrices
13:00-15:00  •  Lunch

15:00-18:00  •  Bruno Nachtergaele, Stefan Teufel
session on Quasilocality properties of quantum lattice systems and applications

In the past dozen years, Lieb-Robinson bounds have been used to exploit the quasi-locality properties of quantum lattice systems with short-range interactions to derive interesting new results about the ground states, low-lying excitations, adiabatic dynamics, linear response, and stability properties of such systems. We review some of the techniques and recent applications.

Wednesday 23 August

09:30-10:00  •  Tristan Benoist  •  Quantum trajectories: invariant measure uniqueness and mixing
10:05-10:35  •  Annalisa Panati  •  Heat full statistics: heavy tails and fluctuations control
10:40-11:20  •  Coffee break
11:20-11:50  •  Abel Klein  •  Manifestations of dynamical localization in the random XXZ spin chain
11:55-12:25  •  Vedran Sohinger  •  Gibbs measures of nonlinear Schrödinger equations as limits of quantum many-body states in dimension d <= 3
12:30-13:00  •  Jonas Lampart  •  Examples of particle creation at point sources via boundary conditions
13:00-15:00  •  Lunch

15:00-18:00  •  Mathieu Lewin
session on New challenges for Coulomb gases

Coulomb gases have been an important object of study in mathematical physics since the 70s. They now re-appear in several areas of physics and mathematics. The purpose of the session will be to review some known and conjectured properties of classical and quantum Coulomb gases. Some possible subjects of discussion are: the crystallization conjecture, the BKT transition, links with optimal transport and Density Functional Theory, links with random matrices, vortices in Ginzburg-Landau theory, discretization methods for manifolds in numerical analysis, etc.

Here are Mathieu's slides; and here is Jürg's first talk, and Jürg's second talk.

Thursday 24 August

09:30-10:00  •  Marcello Porta  •  Universal edge transport in interacting Hall systems
10:05-10:35  •  Simone Warzel  •  Bounds on the entanglement entropy of droplet states in the XXZ chain
10:40-11:20  •  Coffee break
11:20-11:50  •  Tadahiro Miyao  •  Stability of magnetism in the Hubbard model
11:55-12:25  •  Margherita Disertori  •  A nonlinear sigma model connected with stochastic processes and quantum diffusion
12:30-13:00  •  Wojciech de Roeck  •  Quantization of Hall conductance in gapped systems
13:00-15:00  •  Lunch

15:00-18:00  •  Frédéric Klopp
session on Interacting systems with random fields

Friday 25 August

09:30-10:00  •  Jürg Fröhlich  •  Quantum dynamics of systems under repeated observation
10:05-10:35  •  Costanza Benassi  •  Decay of correlations in 2d quantum systems
10:40-11:20  •  Coffee break
11:20-11:50  •  Mathieu Lewin  •  Hartree-Fock excited states
11:55-12:25  •  Frédéric Klopp  •  Interacting electrons in a random background
12:30-13:00  •  Robert Seiringer  •  Stability of quantum many-body systems with point interactions
13:00-15:00  •  Lunch

15:00-16:30  •  Daniel Ueltschi  •  Venice, a Thousand Year Epopee
16:30-19:00  •  Marie-Louise Lillywhite  •  Visit of the basilica SS. Giovanni e Paolo