Title of Seminar: Infosys Chandrasekharan Random Geometry Colloquium
Title of Talk: Endperiodic maps via pseudo-Anosov flows
Speaker: Samuel Taylor, Temple University
Date: February 6, 2023
Time: 18:30:00 Hours
Venue: via Zoom
Abstract: We show that every atoroidal, endperiodic map of an infinite-type surface is isotopic to a homeomorphism that is naturally the first return map of a pseudo-Anosov suspension flow on a fibered manifold. Morally, these maps are all obtained by ''spinning'' fibers around a surface in the boundary of the fibered cone. The structure associated to these *spun pseudo-Anosov* maps allows for several applications. These include defining and characterizing stretch factors of endperiodic maps, relating Cantwella-Conlon foliation cones to Thurston's fibered cones, and defining a convex entropy function on these cones that extends log(stretch factor). This is joint work with Michael Landry and Yair Minsky.
Title of Talk: Endperiodic maps via pseudo-Anosov flows
Speaker: Samuel Taylor, Temple University
Date: February 6, 2023
Time: 18:30:00 Hours
Venue: via Zoom
Abstract: We show that every atoroidal, endperiodic map of an infinite-type surface is isotopic to a homeomorphism that is naturally the first return map of a pseudo-Anosov suspension flow on a fibered manifold. Morally, these maps are all obtained by ''spinning'' fibers around a surface in the boundary of the fibered cone. The structure associated to these *spun pseudo-Anosov* maps allows for several applications. These include defining and characterizing stretch factors of endperiodic maps, relating Cantwella-Conlon foliation cones to Thurston's fibered cones, and defining a convex entropy function on these cones that extends log(stretch factor). This is joint work with Michael Landry and Yair Minsky.