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
Primary Mathematics Subject Classification No Primary AMS MSC Secondary Mathematics Subject Classification No Secondary AMS MSC
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.
Please report video problems to email@example.com.
See more of our Streaming videos on our main VMath Videos page.