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Configurations in sets

Connections for Women: Harmonic Analysis January 19, 2017 - January 20, 2017

January 19, 2017 (09:15 AM PST - 10:15 AM PST)
Speaker(s): Malabika Pramanik (University of British Columbia)
Location: MSRI: Simons Auditorium
Tags/Keywords
  • measure

  • configurations

  • fourier measure

  • sequences

  • sets

  • harmonic analysis

  • geometric incidence problem

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

Pramanik_HB

Abstract

When does a given set contain a copy of your favourite pattern (for example, specially arranged points on a line or a spiral, or the vertices of a polyhedron)? Does the answer depend on how thin the set is in some quantifiable sense? Problems involving identification of prescribed configurations under varying interpretations of size have been vigorously pursued both in the discrete and continuous setting, often with spectacular results that run contrary to intuition. Yet many deceptively simple questions remain open. I will survey the literature in this area, emphasizing some of the landmark results that focus on different aspects of the problem

Supplements
27796?type=thumb Pramanik.Notes 1.1 MB application/pdf Download
Video/Audio Files

Pramanik_HB

H.264 Video 01-Pramanik_HB.mp4 348 MB video/mp4 rtsp://videos.msri.org/data/000/027/638/original/01-Pramanik_HB.mp4 Download
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