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Tight embedding of subspaces of $L_p$ in $\ell_p^n$ for even $p$

Presented by: 
G Schechtman Weizmann Institute of Science
Date: 
Thursday 13th January 2011 - 11:30 to 12:30
Venue: 
INI Seminar Room 1
Abstract: 
Given $1\le p\infty$ and $k$ what is the minimal $n$ such that $\ell_p^n$ almost isometrically contain all $k$-dimensional subspaces of $L_p$? I'll survey what is known about this problem and then concentrate on a recent result, basically solving the problem for even $p$. The proof uses a recent result of Batson, Spielman and Srivastava.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons