Aux frontières de l'Analyse Harmonique / Harmonic Analysis at its Boundaries

As part of the Etats de la Recherche organized by the SMF , the session HAB2016 is devoted to Harmonic Analysis and Partial Differential Equations. In recent years we have seen a very rapid evolution of knowledge and new techniques employed in these areas. The goal of this session is to present some of these recent advances in depth through the mini-course format. Several one hour talks will complete this panorama. The program will leave time for informal discussions among participants and speakers. The mini-courses will be accessible to PhD students and students at the M2 level (Master second year).

This session will take place

from June 20th to June 24th 2016 at Laboratoire Jean Leray in Nantes

and is organized by Pascal Auscher (Université Paris-Sud), Frédéric Bernicot (CNRS - Université de Nantes), El Maati Ouhabaz (Université de Bordeaux), Stefanie Petermichl (Université Toulouse III) and Emmanuel Russ (Université Grenoble Alpes).

The registration will be open from November 1,2015 to April 1, 2016.
There is no registration fee. There will be a small number of "grants", mainly intended for graduate students or young mathematicians, to cover the accommodation. To apply, put a comment during the "registration step".


  • 3 Mini-courses given by
    • Michael Christ (University of California, Berkeley):

      Extremizers and stability for affine-invariant inequalities

    • Patrick Gérard (Université Paris-Sud, Orsay):

      Hankel operators, the cubic Szegö equation and wave turbulence

    • Tuomas Hytönen (University of Helsinki):

      Sharp norm estimates for singular integrals

  • 5 Talks given by
    • Dorothee Frey (Delft University of Technology):

      Riesz transforms and the role of Poincaré inequalities

    • Diego Maldonado (Kansas State University, Manhattan):

      An intrinsic Harnack inequality for the linearized parabolic Monge-Ampère equation

    • Giancarlo Mauceri (Università di Genova):

      Sharp Hardy-type estimates for Riesz transforms on some manifolds of negative curvature

    • Svitlana Mayboroda (University of Minnesota, Minneapolis)
    • Maria Carmen Reguera (University of Birmingham):

      Lower bounds for fractional Riesz transforms and the Wolff energy

This workshop is financially supported jointly by the ANR project HAB and the ERC project FAnFArE as well as the Labex Lebesgue .





The registration is now closed.

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