Configurations in sets
Connections for Women: Harmonic Analysis January 19, 2017 - January 20, 2017
Location: SLMath: Eisenbud Auditorium
measure
configurations
fourier measure
sequences
sets
harmonic analysis
geometric incidence problem
Pramanik_HB
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
Pramanik.Notes
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Pramanik_HB
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01-Pramanik_HB.mp4
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