Mdtop April 2022

mdtop@mathdept.okstate.edu

1 participants
3 discussions

Topology seminar tomorrow
by Hoffman, Neil 25 Apr '22

25 Apr '22

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 ______________________ 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 - Clément Maria
by Hoffman, Neil 19 Apr '22

19 Apr '22

Hello everyone, Today we have our penultimate speaker of the spring Clément Maria. Title: Parameterized complexity in low dimensional topology Speaker: Clément Maria, Inria Date: Apr 19, 2022 Time: 3:00 PM Abstract: Parameterized complexity is a theory allowing a finer analysis of the complexity of algorithms, which was originally applied to graph problems. In this talk, I will survey recent results on the use of parameters for algorithmic and combinatorial topology, with a focus on knots and 3-manifolds. I will try to motivate and highlight the particular flavor of parameterized complexity when applied to the computation of quantum invariants, at the interface of topology, classical and quantum computational complexity, and combinatorics Zoom Info: https://zoom.us/j/94529451960?pwd=ekkxYUsrRGt5bVdEQWJRN0JOZ04wZz09 Meeting ID: 945 2945 1960 Passcode: JSJDecomp Join by Skype for Business https://zoom.us/skype/94529451960 [https://st3.zoom.us/static/6.1.6008/image/thumb.png]<https://zoom.us/skype/94529451960> Join our Cloud HD Video Meeting<https://zoom.us/skype/94529451960> Zoom is the leader in modern enterprise video communications, with an easy, reliable cloud platform for video and audio conferencing, chat, and webinars across mobile, desktop, and room systems. Zoom Rooms is the original software-based conference room solution used around the world in board, conference, huddle, and training rooms, as well as executive offices and classrooms. Founded in 2011, Zoom helps businesses and organizations bring their teams together in a frictionless environment to get more done. Zoom is a publicly traded company headquartered in San Jose, CA. zoom.us ______________________ 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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Tomorrow (Tuesday) in Topology seminar
by Hoffman, Neil 04 Apr '22

04 Apr '22

Hello everyone, Tomorrow we will have Chaeryn Lee joining us from UIUC. Her title and abstract are below: Essential Surfaces in the Exterior of K13n586 Speaker: Chaeryn Lee, University of Illinois Date: Apr 5, 2022 Time: 3:00 PM Room: Virtual (see below) Abstract: We count the number of isotopy classes of closed, connected, orientable, essential surfaces embedded in the exterior B of the knot K13n586. The main result is that the count of surfaces by genus is equal to the Euler totient function. This is the first manifold for which we know the number of surfaces for any genus. The main argument is to show when normal surfaces in B are connected by counting their number of components. We implement tools from Agol, Hass and Thurston to convert the problem of counting components of surfaces into counting the number of orbits in a set of integers under a collection of bijections defined on its subsets. In this talk we will focus on understanding these techniques from Agol, Hass and Thurston and how they are applied to the specific case of our knot exterior. Topic: Okstate Topology Seminar Time: This is a recurring meeting Meet anytime Join Zoom Meeting https://zoom.us/j/94529451960?pwd=ekkxYUsrRGt5bVdEQWJRN0JOZ04wZz09 Meeting ID: 945 2945 1960 Passcode: JSJDecomp Join by Skype for Business https://zoom.us/skype/94529451960 ______________________ 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 2022