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
Location: MSRI: Simons Auditorium
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.
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