We have Andrew Yarmola visiting. His title and abstract are below. See you there.

Title: Volumes and filling collections of simple multicurves

Speaker: Andrew Yarmola, Princeton University

Date: Oct 8, 2019 Time: 3:30 PM

Room: MSCS 509

Abstract: Consider a link L in the trivial circle bundle N over a surface S of negative Euler characteristic. If the fiber-wise projection of L to S is a collection C of closed curves in minimal position, then N L is hyperbolic if and only if C is filling and N L is acylindrical. We would like to understand the behavior of vol(N L) in terms of the topology of C. When C is a composed of simple closed curves and L is stratified, as we will define, we show that vol(N L) is quasi-isometric to expressions involving distances in the pants graph. When S is a punctured torus or a four punctured sphere and N = P T1 (S), we show that the tangent field lift of C is always stratified and that the volume is quasi-isometric to curve complex distance. In this talk, we will outline our proofs and give several natural examples of stratified links. This is joint work with T. Cremaschi and J. A. Rodriguez-Migueles.

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Neil R. Hoffman Assistant Professor Department of Mathematics 523 Math Science Building Oklahoma State University Stillwater, OK 74078-1058 405-744-7791 http://math.okstate.edu/people/nhoffman