We meet Thursdays at 2:50–3:50 pm in WH-100E followed by refreshments served from 4:00–4:25 pm in WH-102. This semester's organizer is Jonathan Williams.
Some seminar speakers will also give a colloquium talk at 4:30 pm on the same day as the seminar talk. This seminar is partly funded as one of Dean's Speaker Series in Harpur College (College of Arts and Sciences) at Binghamton University.
Abstract: This is a joint work with Gili Golan. The divergence function of a group generated by a finite set $X$ is the smallest function $f(n)$ such that for every $n$ every two elements of length $n$ can be connected in the Cayley graph (corresponding to $X$) by a path of length at most $f(n)$ avoiding the ball of radius $n/4$ around the identity element. We prove that R. Thompson groups $F$, $T$, $V$ have linear divergence functions. Therefore the asymptotic cones of these groups do not have cut points.