# Conférences des prix

Organisateurs :
• Vojkan Jaksic
• Val Kelly

Chaque prix est associé à une conférence prononcée pendant le congrès. Les noms des lauréats des prix et les conférences prévues sont indiqués ci-dessous.

### Descriptions des prix

Prix Henri Poincaré

Commandité par la Fondation Daniel Iagolnitzer.

Le prix Henri Poincaré a été créé en 1997 pour reconnaître les contributions exceptionnelles en physique mathématique et les contributions qui jettent les bases de nouveaux développements dans ce vaste domaine. Le prix vise également à reconnaître et à soutenir des jeunes gens extrêmement prometteurs qui ont déjà apporté une contribution exceptionnelle au domaine de la physique mathématique.

Le prix est décerné tous les trois ans lors du Congrès international de physique mathématique et, dans chaque cas, il est remis à trois personnes (pour être exact, le règlement dit environ trois, ce qui permet de tenir compte de circonstances exceptionnelles, à la discrétion du comité du prix). Les lauréats précédents sont énumérés ici.

Les lauréats des prix et les conférences qui leur sont associées sont présentés ci-dessous.

Bourse de début de carrière de l’IAMP (Early Career Award)

Commandité par Springer.

Le prix est décerné lors du Congrès international de physique mathématique (ICMP) en reconnaissance d’une réalisation unique dans le domaine. Le prix consiste en une somme de 3000 € et est réservé aux scientifiques qui ont moins de 35 ans au 31 juillet de l’année du congrès. Les lauréats précédents sont énumérés ici.

Les lauréats des prix et les conférences qui leur sont associées sont présentés ci-dessous.

Prix du jeune scientifique de l’IUPAP (Young Scientist Award)

Commandité par l'International Union of Pure and Applied Physics.

Le Prix du jeune scientifique a été créé en 2007. Les lauréats d’une année donnée devraient posséder un maximum de huit ans d’expérience en recherche consécutive à leur doctorat et avoir accompli un travail original d’une qualité scientifique exceptionnelle.

La Commission C18 de l’UIPAP pour la physique mathématique a décerné ses Prix du jeune scientifique pour la première fois en 2009. Les lauréats précédents sont énumérés ici.

Trois prix seront décernés. Les lauréats des prix et les conférences qui leur sont associées sont présentés ci-dessous.

Prix des Annales Henri Poincaré

Chaque année, un prix financé par Birkhäuser est décerné à l’article le plus remarquable publié dans les Annales Henri Poincaré (AHP). Les lauréats du Prix des AHP sont choisis par le comité de rédaction. Depuis 2008, le conseil d’administration des AHP a décidé de décerner également des prix pour des articles remarquables.

Pour plus d’informations et les lauréats précédents, voir ici.

Les lauréats des prix et les conférences qui leur sont associées sont présentés ci-dessous.

### Résumés de conférences

• Semyon Dyatlov
University of California, Berkeley
IAMP Early Career Award Lecture

Fractal uncertainty principle and quantum chaos

Fractal uncertainty principle states that no function can be localized close to a fractal set simultaneously in position and momentum. The strongest version so far has been obtained in one dimension by Bourgain and the speaker with recent higher dimensional advances by Han and Schlag. It has applications to spectral gaps in chaotic scattering and to localization and control of high energy eigenfunctions.

More precisely, using the work with Bourgain and earlier work with Zahl, Jin and the speaker proved that on hyperbolic surfaces, the mass of an eigenfunction on an open set is bounded from below independently of the energy. As shown by Jin, these results lead to observability and control for the Schrödinger equation. Another application is the existence of a spectral gap for every convex co-compact hyperbolic surface, which implies local energy decay of waves at high frequency.

 Slides: 1200_dyatlov_symposia_monday.pdf Taille : 5 mb
• Percy Deift
Courant Institute
Henri Poincaré Prize Lecture

Universality in numerical computation with random data: Case studies and analytical results.

The speaker will discuss various universality aspects of numerical computations using standard algorithms. These aspects include empirical observations, rigorous results, and some speculations about computation in a broader sense.

Joint with C. Pfrang, G. Menon, S. Olver  and Thomas Trogdon.

 Slides: 1130_deift_symposia_tuesday.pdf Taille : 2 mb
• Vadim Gorin
MIT
IUPAP Young Scientist Prize Lecture

Telegraph equation from the six-vertex model

I will explain how a second order hyperbolic PDE, known as the telegraph equation, arises in the asymptotic of the height function of a celebrated model of 2d statistical mechanics - the six-vertex (or square ice) model. Homogeneous equation describes the limit shape in the system, and its stochastic inhomogeneous version governs the fluctuations.

 Slides: 1630_gorin_symposia_tuesday.pdf Taille : 978 kb
• Giovanni Gallavotti
Sapienza University of Rome
Henri Poincaré Prize Lecture

Reversibility, Irreversibility, Friction and Nonequilibrium Ensembles in Navier-Stokes equations

A proposal for a theory of equivalent ensembles in nonequilibrium statistical mechanics.

The case of Navier-Stokes fluids. Equivalent irreversible and reversible friction for incompressible, periodic boundary conditions, constant forcing flows in 2/3D.

 Slides: 1400_giovanni_gallavotti_symposia_wednesday.pdf Taille : 246 kb
• Annales Henri Poincaré Journal Prize Ceremony

The prize recipients for 2014, 2015, and 2016 will be formally recognized during this brief ceremony.

The associated lectures for each of the prizes are separately scheduled.

• Wei-Kuo Chen
University of Minnesota
IUPAP Young Scientist Prize Lecture

Some recent progress on mean field spin glasses.

Spin glass models were initially introduced by theoretical physicists in order to study some strange magnetic behavior of certain alloys. They exhibit several features, such as quenched disorder and frustration, that are commonly shared in many real world problems involving randomized combinatorial optimizations. In this talk, we will discuss some recent progress on the famous Sherrington-Kirkpatrick mean field spin glass as well as its variants. We will explain Parisi's solution to the computation of the ground state energies and give descriptions on the energy landscapes of the models in relation to the computational hardness of the ground state energies.

 Slides: 1645_chen_international_friday.pdf Taille : 873 kb
• Phan Thanh Nam
Ludwig Maximilian University
IUPAP Young Scientist Prize Lecture

Nonlinear Gibbs measure and equilibrium Bose gases

Nonlinear Gibbs measure plays an important role in the studies of  Euclidean Quantum Field Theory, nonlinear PDEs and stochastic PDEs. I will discuss the natural emergence of this measure as the mean-field limit of bosonic equilibrium states. The talk is based on joint work with Mathieu Lewin and Nicolas Rougerie.

 Slides: 1715_phan_thanh_nam_international_friday.pdf Taille : 232 kb
• Michael Aizenman
Princeton University
Henri Poincaré Prize Lecture

Emergent structures in statistical mechanics

Equilibrium states of classical and quantum systems can often be understood in terms of spontaneously emergent random geometric structures.   Examples of such can be seen in the spontaneous organization of Ising and Potts spins into cliques,  whose statistics are given by the Fortuin - Kasteleyn random cluster models, the random current representation of the equilibrium Gibbs states of Ising / phi^4 models,  and loop based organization of certain quantum spin chains into spin zero clusters.  Uncovering the hidden stochastic geometric features allows insights on the model’s phase structure, and the nature of the correlation functions.  For quantum spin chains the loop representations are of relevance for the phenomena of dimerization, the emergence of boundary spin excitations, and in some cases of topological states.  Mentioned in the talk will be results based on both old and recent  collaborations.

• David Damanik
Rice
Annales Henri Poincaré Journal 2014 Prize Lecture

Schrödinger operators with thin spectra

In the early days of the spectral analysis of Schrödinger operators, the essential spectrum commonly turned out to be an interval, or at least a union of intervals. In the 1980's, new types of spectra were discovered, displaying a Cantor set structure. In this talk we present recent work on Schrödinger operators whose spectra are even thinner, having zero Lebesgue measure, or even zero Hausdorff dimension. The mechanisms leading to these results will be elucidated. This is joint work with Jake Fillman, Anton Gorodetski and Milivoje Lukic.

Article: Damanik, D., Fillman, J. & Gorodetski, A. Ann. Henri Poincaré (2014) 15: 1123. https://doi.org/10.1007/s00023-013-0264-6

 Slides: 1645_2_damanik_symposia_friday.pdf Taille : 3 mb
• Juliane Rama
Fraunhofer FHR
Annales Henri Poincaré Journal 2015 Prize Lecture

Instability of pre-existing resonances in the DC Stark effect

This talk is based on the article:

I. Herbst, J. Rama, "Instability of Pre-Existing Resonances Under a Small Constant Electric Field", Ann. Henri Poincar$\acute{\rm e}$ 16 (2015), 2783 - 2835.

A simple model operator (Friedrichs model) with a pre-existing resonance $r_0$, defined in a dilation or translation analytic framework, is considered. Adding a potential corresponding to a small constant electric field of strength $f>0$ (DC Stark effect) perturbs the pre-existing resonance into (infinitely many) resonances of the resulting operator. It is shown that the pre-existing resonance $r_0$ is unstable in the weak field limit $f\downarrow 0$, in the sense that the new resonances do not converge to $r_0$ as $f\downarrow 0$. In a dilation analytic framework this instability result in the DC Stark effect is in contrast to the AC Stark effect (time-periodic electric field), where the pre-existing resonance is stable in the weak field limit.

Article: Herbst, I. & Rama, J. Ann. Henri Poincaré (2015) 16: 2783. https://doi.org/10.1007/s00023-014-0389-2

• Wojciech Dybalski
Technische Universität München
Annales Henri Poincaré Journal 2016 Prize Lecture

Lieb-Robinson bounds, Arveson spectrum and Haag-Ruelle scattering theory for gapped quantum spin systems

We consider translation invariant gapped quantum spin systems satisfying the Lieb-Robinson bound and containing single-particle states in a ground state representation. Following the Haag-Ruelle approach from relativistic quantum field theory, we construct states describing collisions of several particles, and define the corresponding S-matrix. For the purpose of our analysis we adapt the concepts of almost local observables and energy-momentum transfer (or Arveson spectrum) from relativistic QFT to the lattice setting. Our results hold, in particular, in the Ising model in strong transverse magnetic fields. Based on these developments, a general discussion of the problem of asymptotic completeness for gapped quantum spin systems will be given.

Based on joint work with S. Bachmann and P. Naaijkens.

Article: Bachmann, S., Dybalski, W. & Naaijkens, P. Ann. Henri Poincaré (2016) 17: 1737. https://doi.org/10.1007/s00023-015-0440-y

 Slides: 1745_dybalski_symposia_friday.pdf Taille : 429 kb