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Laure SAINT RAYMOND Mathematics, Permanent Professor since 2021.

DISTINCTIONS

European Mathematical Society Prize (2008) Ruth Lyttle Satter Prize, American Mathematical Society (2009) Irène Joliot Curie "Young Female Scientist" Prize, Académie des Sciences de Paris and French Ministry of Higher Education and Research (2011) Fermat Prize, Midi-Pyrénées Region (2015) Bôcher Prize, American Mathematical Society (2020) Académie des Sciences de Paris, member since 2013 Academia Europaea, member since 2014 Institut Universitaire de France, junior member since 2015 European Academy of Sciences, member since 2017

Editor of: Comptes Rendus mathématiques, Académie des Sciences Probability and Mathematical Physics EMS Surveys EMS Memoirs

In the context of the study of dilute gases, Thierry Bodineau, Isabelle Gallagher, LAURE SAINT RAYMOND and Sergio Simonella introduced a very robust method based on duality to describe the near-equilibrium dynamics. They have thus obtained a complete answer to Hilbert's sixth problem, deriving the hydrodynamic equations from the deterministic system of particles. One can even include in this fluid description the effect of correlations and show the convergence of the fluctuation field to a Gaussian process, solution of the fluctuating Stokes-Fourier equations. Dynamical noise thus appears spontaneously, compensating exactly the dissipation

and reflecting the extreme sensitivity of the hard sphere system to microscopic variations in the initial data. This phenomenon is reminiscent of turbulence and opens new perspectives.

SCIENTIFIC ACTIVITY

PUBLICATIONS

With R. Bianchini and A-L. Dalibard Near-critical Reflection of Internal Waves Analysis & PDE 14 (2021) 205-249, prepublication arXiv:1902.0666.

With T. Bodineau, I. Gallagher and S. Simonella Long-time Correlations for a Hard-sphere Gas at Equilibrium Communications on Pure and Applied Math., prepublication arXiv:2012.03813.

Long-time Derivation at Equilibrium of the Fluctuating Boltzmann Equation Submitted, prepublication arXiv:2201.04514.

Dynamics of Dilute Gases: a Statistical Approach Proceedings ICM 2022, prepublication arXiv:2201.10149.

Cluster Expansion for a Dilute Hard Sphere Gas Dynamics Proceedings ICMP 2021.

CONFERENCES

France Mathematical Fluid Dynamics Advanced Summer School, Institut d Études Scientifiques de Cargèse (August 18) Wave Turbulence: a Mathematical Perspective (conference)

Rentrée des Masters, Fondation mathématique Jacques Hadamard, Orsay (September 1) Du billard à la combinatoire (conference)

Mathematics without Borders: The Centennial of the International Mathematical Union, Strasbourg (September 28) Dynamics of Perfect Gases: from Atoms to Fluid Models (conference)

Large-scale Limits of Interacting Particle Systems, IHES, Bures-sur-Yvette (October 4-8) Statistical Description of a Hard Sphere Gas Dynamics (conference)

Séminaire Analyse Numérique et EDP, Laboratoire de Mathématiques d Orsay (November 18) Gaz de sphères dures : une approche statistique (seminar)

Iran 52nd Annual Iranian Mathematics Conference, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman (August 30) Dynamics of Perfect Gases: a Statistical Approach (conference)

United Kingdom Virtual Maxwell Analysis seminar, University of Edinburgh (November 19) Dynamical Fluctuations of a Hard Sphere Gas in the Low Density Limit (seminar)

Ahmed ABBES Mathematics, CNRS Research Director.

In 2021, AHMED ABBES continued his work in collaboration with Michel Gros on the p-adic Simpson correspondence, as a sequel to their recent construction of the relative Hodge-Tate spectral sequence. More precisely, they studied the functoriality of this correspondence, initiated by Faltings and developed by A. Abbes, M. Gros and T. Tsuji, by proper direct image.

SCIENTIFIC ACTIVITY

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DISTINCTIONS

CNRS Bronze Medal (2005) Distinguished Ordway visitor, the School of Mathematics of the University of Minnesota (April 2016)

Editor of: Astérisque (2010-2018) Tunisian Journal of Mathematics (Co-editor-in-chief)

PUBLICATIONS

With M. Gros The Relative Hodge Tate Spectral Sequence an Overview To appear in Simons Symposia - p-adic Hodge Theory, edited by B. Bhatt and M. Olsson.

CONFERENCES

France Arithmetic Geometry in Honor of Luc Illusie, IHES, Bures-sur-Yvette (June 7-11) The Relative Hodge-Tate Spectral Sequence (conference)

Japan Arithmetic Geometry Takeshi 60, Graduate School of Mathematical Sciences, The University of Tokyo (September 6-10) (co-organizer)