Hello everyone,

Tomorrow, we have our final speaker of the semester, Cameron Rudd.

Title: Computing a link diagram from its exterior Speaker: Cameron Rudd, University of Illinois Date: Apr 26, 2022 Time: 3:00 PM Zoom info below

Abstract: The topology of a knot is intimately related to that of its exterior, which is the complement of an open regular neighborhood of the knot. Knots are typically encoded by planar diagrams, whereas their exteriors, which are compact 3-manifolds with torus boundary, are encoded by triangulations. I will discuss a practical algorithm for finding a diagram of a knot given a triangulation of its exterior. Our method applies to links as well as knots, and allows us to recover links with hundreds of crossings. This is joint work with Nathan Dunfield and Malik Obeidin.

Zoom info: https://zoom.us/j/94529451960?pwd=ekkxYUsrRGt5bVdEQWJRN0JOZ04wZz09

Meeting ID: 945 2945 1960 Passcode: JSJDecomp

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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