I'll discuss a new elementary proof for the impossibility of
dimension reduction for doubling subsets of $\ell_q$ for $q>2$. This is
done by constructing a family of diamond graph-like objects based on the
construction by Bartal, Gottlieb, and Neiman. One noteworthy consequence
of our proof is that it can be naturally generalized to obtain
embeddability obstructions into non-positively curved spaces or
asymptotically uniformly convex Banach spaces. Based on the work with
Florent Baudier and Andrew Swift.

Meeting Id: 917 1095 4332
Password: 314159