# Calendar

Discrete Math

## "A spectral gap precludes low-dimensional embeddings"

#### Assaf Naor, Princeton University

Location:  Hill 705
Date & time: Monday, 17 April 2017 at 2:00PM -

 Time: 2:00 PM Location: Hill 705 Abstract: We prove that if an $$n$$-vertex $$O(1)$$-expander graph embeds with average distortion $$D$$ into a finite dimensional normed space $$X$$, then necessarily the dimension of $$X$$ is at least $$n^{c/D}$$ for some universal constant $$c>0$$. This is sharp up to the value of the constant $$c$$, and it improves over the previously best-known estimate $$mathrm{dim}(X)> c(log n)^2/D^2$$.

## Special Note to All Travelers

Directions: map and driving directions. If you need information on public transportation, you may want to check the New Jersey Transit page.

Unfortunately, cancellations do occur from time to time. Feel free to call our department: 848-445-6969 before embarking on your journey. Thank you.