The aim of the ANR project NOSEVOL, for which this will be the concluding conference,  is to study refined spectral, microlocal or semi-classical estimates for mainly non-selfadjoint operators and their applications to dynamical and evolution problems. This involves in particular resolvent type estimates, spectral and pseudospectral estimates, numerical simulations, Weyl law type estimates and resonances results. By evolution problems we mean scattering, diffusion, dissipation, damping, propagation or return to the equilibrium phenomena, arising in kinetic theory, relativity, superconductivity, oceanography  mathematical physics. The central idea of the project was to help interplay between researchers working on estimates and researchers studying or modeling evolution problems.

The conference will give an idea of the state of the art and the progresses in the study of non-selfadjoint operators at the end of the NOSEVOL project. Considerable breakthroughs have already been done in the recent years, and this will be also an occasion to listen to major actors in connected communities (in kinetic theory, dynamical systems, global analysis, statistical physics and mechanics)

Scientific Committee

Bernard Helffer (Université Paris-Sud)
Gilles Lebeau (Université de Nice Sophia Antipolis)
Johannes Sjöstrand (Université de Bourgogne)
Maciej Zworski (University of California, Berkeley)

Organizing Committee

Setsuro Fujiie (University of Ritsumeikan)
Frédéric Hérau (Université de Nantes)
François Nicoleau (Université de Nantes)
Thierry Ramond (Université Paris-Sud)
Joe Viola (Université de Nantes)
San Vu Ngoc (Université de Rennes 1)

Speakers

• Anne-Sophie De Suzzoni (Université Paris 13 Nord)

Turning invariant measures on the torus into invariant measures on the line by passing to the limit

• Semyon Dyatlov (MIT)

Spectral gaps via additive combinatorics

• Jean-Pierre Eckmann (Université de Genève)

Classical Hamiltonian Systems, Driven out of Equilibrium, a Review

• Jérémy Faupin (Université de Lorraine)

Scattering theory for Lindblad operators

• Alain Grigis (Université Paris 13 Nord)

Resonance widths for general Helmholtz resonators with straight neck

• Colin Guillarmou (ENS Paris)

Invariant distributions and injectivity of X-ray transform for
Anosov flows

• Maxime Ingremeau (Université Paris-Sud Orsay)

Distorted plane waves in chaotic scattering

• Oana Ivanovici (Université de Nice Sophia-Antipolis)

Dispersion estimates for the wave and the Schrodinger equations outside strictly convex obstacle

• Frédéric Klopp (Université Pierre et Marie Curie)

Stark-Wannier ladders and cubic exponential sums

• Rémi Leandre (Université de Franche-Comté)

Malliavin Calculus of Bismut type for an operator of order four on a Lie group

• André Martinez (University of Bologna)

Estimates on the molecular dynamics for the predissociation process

• Shu Nakamura (University of Tokyo) 

High energy asymptotics of the scattering matrix for Schroedinger and Dirac operators

• Galina Perelman Paris (Université Paris-Est)

Near soliton dynamics for the energy critical NLS

• Vesselin Petkov (Université Bordeaux 1)

Location and Weyl formula for the eigenvalues of non self-adjoint operators

• Duong H. Phong (Columbia University)

Non-linear partial differential equations in complex geometry

• Claude-Alain Pillet (Université de Toulon)

Nonequilibrium statistical mechanics of harmonic networks

• Sylvia Serfaty (Université Pierre et Marie Curie)

Mean Field Limits for Ginzburg-Landau Vortices

• Petr Siegl (University of Bern)

Convergence of pseudospectra, constant resolvent norm and Schrödinger operators with complex potentials

• Peter Topalov (North Eastern University)

Generic non-selfadjoint Zakharov-Shabat operators

• Andras Vasy (Stanford University)

The Feynman propagator and its positivity properties