Seminar

This talk with take place on campus, in Evans Hall room 3. 

Given a foliation on a 3-manifold M, one can often construct a “universal circle” — an action of the fundamental group of M on a circle that is in some way compatible with the structure of the foliation at infinity. In general, it is a difficult problem to classify universal circles for a given foliation. This talk will focus on universal circles for the stable and unstable foliations of Anosov flows. We will describe the structure of these foliations at infinity and show that two natural constructions give rise to distinct universal circles in this setting. This is joint work with Samuel Taylor. We also discuss recent work showing the “leftmost universal circle” of an Anosov foliation admits a Cannon—Thurston map.