Hello everyone,
Today in seminar we have Rafał Siejakowski zooming in from São Paulo. The details are below.
Title Meromorphic 3D-index and its asymptotics
Speaker: Rafał Siejakowski, University of São Paulo
Date: Mar 29, 2022 Time: 3:00 PM
Room: https://zoom.us/j/94529451960?pwd=ekkxYUsrRGt5bVdEQWJRN0JOZ04wZz09
Abstract: The meromorphic 3D-index is a new and somewhat mysterious topological invariant of orientable 3-manifolds with toroidal boundary, defined as a state integral of Turaev– Viro type on ideal triangulations. The ”states” in this integral are formal assignments of circle-valued dihedral angles to the edges of the tetrahedra. In this talk, we explain the predicted asymptotic behaviour of this invariant when the quantisation parameter q tends to 1. Conjecturally, our asymptotic limit contains ”classical” information about certain flat PSL(2,C)-bundles on the manifold, including the hyperbolic volume and adjoint Reidemeister torsion whenever the manifold admits a complete hyperbolic structure of finite volume.
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
[https://st3.zoom.us/static/6.0.5598/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
Hello everyone,
Tomorrow we will have Kristof Huszar joining us. He will be joining us from France, so we are especially grateful about his flexibility when determining his speaking hours.
Title On quantifying the width of 3-dimensional manifolds
Speaker: Kristóf Huszár, Inria
Date: Mar 22, 2022 Time: 3:00 PM central (9pm CET)
Room: https://zoom.us/j/94529451960?pwd=ekkxYUsrRGt5bVdEQWJRN0JOZ04wZz09
Abstract: There are various ways of defining the ”width” of a 3-dimensional manifold. Well-known examples include the Heegaard genus, or, in case of hyperbolic 3-manifolds, the volume. Driven by the algorithmic study of 3-manifolds, recent years have seen a growing interest in combinatorial notions of width defined through triangulations: it has been shown that several computationally hard problems about 3-manifolds can be efficiently solved for triangulations that are sufficiently ”thin” in a certain sense. In this talk we give an overview of recent results that link these combinatorial width parameters with classical topological invariants of 3-manifolds in a quantitative way. To establish our theorems, we rely on generalized Heegaard splittings and on layered triangulations. Joint work with Jonathan Spreer and Uli Wagner.
Here is the full zoom info:
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
