The aim of this meeting is to bring together leading experts of Harmonic Analysis and Geometric Measure Theory as well as young researchers, and to underline the interactions between these two areas.

Beyond their own developments, Harmonic Analysis and Geometric Measure Theory have strong connections with several other research areas such as PDE’s, Functional Analysis, or Calculus of Variations. In recent years tools from Harmonic Analysis and Geometric Measure Theory also came up as fruitful frameworks for problems coming from applied mathematics, such as image processing, approximation of surfaces, shape optimization etc.

One of the aims of the conference will be to underline these connections between pure and applied mathematics.

In addition to plenary talks, it is the intention of the organizers to give  young researchers the opportunity to present their work to an international audience and to encourage fruitful discussions between young and more advanced researchers.

This meeting will also be an opportunity to celebrate Guy David’s 60th birthday.

Main Speakers
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Pascal Auscher (Université Paris Sud)   30 years of T(b) theorems   (pdf)
Ronald Coifman (Yale University)   Harmonic Analysis and Geometric Measure theory   (pdf)
Camillo De Lellis (Universität Zürich)   Ill-posedness for Leray solutions of the ipodissipative Navier-Stokes equations
Sandrine Grellier (Université d’Orléans)   An inverse spectral theorem on compact Hankel operators linked to the dynamic of some half wave equation   (pdf)
Stéphane Jaffard (Université Paris-Est)   Wavelets on the hunt for gravitational waves   (pdf)
David Jerison (MIT)   Localization of Eigenfunctions via an Effective Potential  (pdf)
Pertti Mattila (University of Helsinki)   Hausdorff dimension of projections and intersections
Svitlana Mayboroda (University of Minnesota)   Harmonic measure for lower dimensional sets
Jean-Michel Morel (ENS Paris-Saclay)   Visual perception, geometry and the structure of images viewed as 2D functions   (pdf)
Raanan Schul (Stony Brook University)   Rectifiability of measures   (pdf)
Terence Tao (UCLA)   An integration approach to the Toeplitz square peg problem
Xavier Tolsa (ICREA / Universitat Autònoma de Barcelona)   Harmonic and elliptic measures, and uniform rectifiability   (pdf)
Tatiana Toro (University of Washington)   Parametrizing with Guy
Joan Verdera (Universitat Autònoma de Barcelona)   Two theorems on vortex patches   (pdf)  (filamentation.avi)
Alexander Volberg (Michigan State University) Old and new geometric isoperimetric inequalities, Monge-Ampère equation with drifts. Shortcut to applied math: sharp Beckner-Sobolev inequality on Hamming cube  (pdf)

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