Mdtop April 2023

mdtop@mathdept.okstate.edu

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3 discussions

Today in topology seminar
by Hoffman, Neil 25 Apr '23

25 Apr '23

Hello everyone, Today Henry is speaking. His title and abstract are below: Speaker: Henry Segerman, Oklahoma State University Date: Apr 25, 2023 Time: 3:30 PM Room: MSCS 509 Title: From loom spaces to veering triangulations Abstract: I'll talk about joint work with Saul Schleimer on loom spaces - an axiomatic treatment of the leaf spaces associated to (drilled) pseudo-Anosov flows. A loom space is a copy of $\mathbb{R}^2$ with two transverse foliations. Following work of Guéritaud, from a loom space we construct a veering triangulation of $\mathbb{R}^3$. Meeting ID 912 8603 3884 Passcode JSJDecomp Neil Hoffman is inviting you to a scheduled Zoom meeting. Topic: Topology seminar Time: Apr 25, 2023 03:30 PM Central Time (US and Canada) Every week on Tue, until May 30, 2023, 6 occurrence(s) Apr 25, 2023 03:30 PM May 2, 2023 03:30 PM May 9, 2023 03:30 PM May 16, 2023 03:30 PM May 23, 2023 03:30 PM May 30, 2023 03:30 PM Weekly: https://okstate-edu.zoom.us/meeting/tJUvf--orTgiEtAYZvv5fEhJot_AVUKmGf9S/ic… ______________________ 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

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Chesebro (3:30, Bryant talks this week
by Hoffman, Neil 17 Apr '23

17 Apr '23

Hello everyone, We have two events going on this week. Eric Chesebro, Farey recursion and 2-bridge link complements, MSCS 509, Tuesday 3:30pm Birch Bryant, Fibers as normal and spun-normal surfaces in link manifolds, MSCS 101, Wednesday 3:30pm For those scattered far and wide, both speakers have given permission to stream there talks. Join Zoom Meeting https://okstate-edu.zoom.us/j/91286033884?pwd=bm9DSGJCbjlldmxHYlh3eDM1cUtwZ… Meeting ID: 912 8603 3884 Passcode: JSJDecomp One tap mobile +13462487799,,91286033884#,,,,*101999162# US (Houston) +16694449171,,91286033884#,,,,*101999162# US Here are the abstracts: Farey recursion and 2-bridge link complements. Speaker: Eric Chesebro, University of Montana Date: Apr 18, 2023 Time: 3:30 PM Room: MSCS 509 Abstract: I will define Farey recursion and explain how it helps us understand the geometries of hyperbolic 2-bridge link complements. Fibers as normal and spun-normal surfaces in link manifolds Speaker: Birch Bryant, Oklahoma State University Date: Apr 19, 2023 Time: 3:30 PM Room: MSCS 101 Abstract: The theory of Normal Surfaces was developed by Kneser and expanded by Haken to find properly embedded essential surfaces triangulations of compact 3-manifolds. For ideal triangulations of cusped finite-volume hyperbolic 3-manifolds, Walsh showed if the ideal triangulation has essential edges, any incompressible surface $S$ can be realized as a spun-normal surface, provided $S$ is not a virtual fiber. One comes to the natural question posed directly by Cooper, Tillmann, and Worden: "For a fibered knot complement or fibered once-cusped 3-manifold $M$, is there always some ideal triangulation of $M$ such that the fiber is realized as an embedded spun-normal surface?" Using the techniques of crushing and inflating ideal triangulations developed by Jaco and Rubinstein, we will answer this question by giving an algorithm to construct for a fibered knot complement an ideal triangulation, $\mathcal T^*$, in which a fiber of the bundle structure spun-normalizes. The algorithm presented will also identify the fiber within a finite set of normal surface solutions of $\mathcal T^*$. ______________________ 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

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Today in Topology!
by Hoffman, Neil 04 Apr '23

04 Apr '23

Hello everyone, Today will be holding our topology seminar in MSCS 509 at 3:30. I will be speaking. My title and abstract are below. Also, for the rest of the semester we have Eric Chesebro visiting on April 18, Birch defending April 19, and Eric Towers speaking May 2. Hope to see you there! Title: Triangulations and Trace fields Speaker: Neil Hoffman, Oklahoma State University Date: Apr 4, 2023 Time: 3:30 PM Room: MSCS 509 Abstract: The trace field of a hyperbolic 3-manifold is an invariant determined by arithmetic data. I will give a construction for this data and describe how 1) it can be computed from a triangulation of the manifold and 2) how complexity of the invariant can grow relative the number of tetrahedra in a triangulation. ______________________ 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

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Mdtop April 2023