Rigidity, group actions and finite point configurations in thin sets

Recent Developments in Harmonic Analysis May 15, 2017 - May 19, 2017

May 16, 2017 (02:00 PM PDT - 03:00 PM PDT)

Speaker(s): Alex Iosevich (University of Rochester)
Location: SLMath: Eisenbud Auditorium

Tags/Keywords

harmonic analysis
rigidity
group action
Fourier analysis
Hausdorff dimension
finite point configurations

Primary Mathematics Subject Classification

00B20 - Proceedings of conferences of general interest
47H08 - Measures of noncompactness and condensing mappings, $K$K-set contractions, etc.
49M37 - Numerical methods based on nonlinear programming [See also 65Kxx, 90C30]
26A15 - Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable {For properties determined by Fourier coefficients, see 42A16; for those determined by approximation properties, see 41A25, 41A27}
39A24 - Almost periodic solutions of difference equations

Secondary Mathematics Subject Classification No Secondary AMS MSC

Video

Iosevich

Abstract

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

Supplements

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Video/Audio Files

Iosevich

H.264 Video	7-Iosevich.mp4 129 MB video/mp4 rtsp://videos.msri.org/data/000/028/445/original/7-Iosevich.mp4	Download

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