Rigidity, group actions and finite point configurations in thin sets
Recent Developments in Harmonic Analysis May 15, 2017 - May 19, 2017
Location: MSRI: Simons Auditorium
harmonic analysis
rigidity
group action
Fourier analysis
Hausdorff dimension
finite point configurations
51E20 - Combinatorial structures in finite projective spaces [See also 05Bxx]
52C10 - Erdős problems and related topics of discrete geometry [See also 11Hxx]
28A75 - Length, area, volume, other geometric measure theory [See also 26B15, 49Q15]
42B10 - Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type
Iosevich
We will use the notion of rigidity, group actions and Fourier analysis to study the problem of the existence of congruent copies of finite point configurations of a given type inside sets of a given Hausdorff dimension
Iosevich
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