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Invitations to Mathematics Lecture Series

photo of Krystal Taylor
December 2, 2015
4:05PM - 5:45PM
CH240

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Add to Calendar 2015-12-02 16:05:00 2015-12-02 17:45:00 Invitations to Mathematics Lecture Series  Title: Geometry of Sets and Harmonic AnalysisSpeaker:  Krystal Taylor (OSU)Abstract: Harmonic analysis can be used to study a number of interesting geometric problems, to name a few:  obtaining error estimates for lattice point counting problems, obtaining dimensional inequalities on the intersections of fractal sets, determining which geometric configurations exists within sufficiently ``large'' subsets of Euclidean space. We look at a series of related results and questions with the aim of introducing applications of Harmonic analysis to geometric problems. We will use a lower bound on the Hausdorff dimension of a subset of Euclidean space to make precise the notion of sufficient structure or size.Background and examples are provided, as well as open problems. Note: This is part of the Invitations to Mathematics lecture series given each year in Autumn and Spring semesters. Pre-candidacy students can sign up for this lecture series by registering for one or two credit hours of Math 6193, Call/Class # 17170 (with Prof H. Moscovici).   CH240 Department of Mathematics math@osu.edu America/New_York public

 

Title: Geometry of Sets and Harmonic Analysis

Speaker:  Krystal Taylor (OSU)

Abstract:

Harmonic analysis can be used to study a number of interesting geometric problems, to name a few:  obtaining error estimates for lattice point counting problems, obtaining dimensional inequalities on the intersections of fractal sets, determining which geometric configurations exists within sufficiently ``large'' subsets of Euclidean space. We look at a series of related results and questions with the aim of introducing applications of Harmonic analysis to geometric problems. We will use a lower bound on the Hausdorff dimension of a subset of Euclidean space to make precise the notion of sufficient structure or size.

Background and examples are provided, as well as open problems.

 

Note: This is part of the Invitations to Mathematics lecture series given each year in Autumn and Spring semesters. Pre-candidacy students can sign up for this lecture series by registering for one or two credit hours of Math 6193, Call/Class # 17170 (with Prof H. Moscovici).

 

 

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