Noncommutative Geometry Seminar

Date: April 23, 2014

Time: 2:00PM - 2:50PM

Location: Blocker 627

Speaker: Rufus Willett, University of Hawai'i

Title: Weak coarse embeddings for random graphs

Abstract: A generic sequence of graphs is an expander, so does not admit a coarse embedding into a Hilbert space (or many other ‘geometrically nice’ Banach spaces). Expanders are also expected to have bad K-theoretic properties. I’ll use work of Mendel and Naor to show that a generic sequence of graphs (in some reasonable sense) admits a weak form of coarse embedding into Hilbert space. I’ll also discuss some K-theoretic consequences of this, and connections to expansion and geometric forms of property (T).