# Dvoretsky Theorem and concentration of measure

## Speaker:

Timur Oikhberg

## Institution:

UCI

## Time:

Tuesday, April 12, 2005 - 4:00pm

## Location:

MSTB 256

A classical theory of Dvoretsky states that every

infinite dimensional Banach space contains subspaces of arbitrarily large finite dimension,

which are arbitrarily close to a Hilbert space (in terms of the Banach-Mazur distance). V.Milman's proof of this result, based on the "concentration of measure" phenomenon, will be presented.