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Concentration of measure on the orthogonal group and high-dimensional geometry

Connections for Women: geometry and probability in high dimensions August 17, 2017 - August 18, 2017

August 17, 2017 (11:00 AM PDT - 12:00 PM PDT)
Speaker(s): Elizabeth Meckes (Case Western Reserve University)
Location: MSRI: Simons Auditorium
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

2-Meckes

Abstract

Many important features of the geometry of high-dimensional spaces can be seen as consequences of concentration of measure on the orthogonal group.  I will illustrate this phenomenon with three examples: the Johnson-Lindenstrauss lemma, Dvoretzky's theorem, and a measure theoretic analog of the latter.  The talk will be elementary and assume no prior knowledge of measure concentration or any of the results to be discussed.

 

Supplements
29291?type=thumb Meckes 218 KB application/pdf Download
Video/Audio Files

2-Meckes

H.264 Video 2-Meckes.mp4 353 MB video/mp4 rtsp://videos.msri.org/data/000/029/206/original/2-Meckes.mp4 Download
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