Seminar

On the Bourgain-Dyatlov fractal uncertainty principle

Spectral Methods in Mathematical Physics

14 March 15:30 - 16:30

Wilhelm Schlag - Yale University

I will discuss uncertainty principles, including the Bourgain-Dyatlov breakthrough result from late 2016. Using harmonic analysis of the type which arises in the Beurling-Malliavin theorem, they showed (in a quantitative way) that a function on the line cannot be supported on fractal sets both in the physical and Fourier variables.
The higher-dimensional version of this theorem remains open. I will describe some partial progress by Rui Han and myself.
Organizers
Søren Fournais
Aarhus University
Rupert Frank
LMU Munich
Benjamin Schlein
University of Zurich, UZH
Simone Warzel
TU Munich

Program
Contact

Rupert Frank

frank@math.lmu.de

Other
information

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