Topology Seminar: Hyunshik Shin (UGA) "Asymptotic translation on the curve complex"

Abstract: In this talk, we will discuss various properties of asymptotic translation lengths of pseudo-Anosov elements of mapping class groups on curve complex. In particular, we will discuss the asymptotic behavior of minimal asymptotic translation lengths of mapping class group and its subgroups. If time permits, I will describe the relation between the asymptotic translation length of pseudo-Anosov elements and Thurston's fibered cone of hyperbolic 3-manifolds. T

 

his is joint work with Hyungryul Baik, Eiko Kin, and Chenxi Wu.

Joint Seminar: Eylem Yıldız (Michigan State) "Knot Concordances in S^1 x S^2 and Constructing Akbulut-Ruberman Type Exotic 4-Manifolds"

Knot Concordances in S^1 x S^2 and Constructing Akbulut-Ruberman Type Exotic 4-Manifolds



I will discuss knot concordances in 3-manifolds. In particular I will talk about knot concordances of knots in the free homotopy class of S^1 x {pt} in S^1 x S^2. It turns out, we can use some of these concordances to construct Akbulut-Ruberman type exotic 4-manifolds. As a consequence, at the end of the talk we will see absolutely exotic Stein pair of 4-manifolds. This is joint work with Selman Akbulut. 

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