Hello everyone,
Today we are happy to have Joan Licata. Her title, abstract and the zoom link can be found below.
Title: Diagrams for Three-Manifold Spines
Speaker: Joan Licata, Australia National University/ICERM
Date: Feb 22, 2022
Time: 3:00 PM
Link: https://zoom.us/j/94529451960?pwd=ekkxYUsrRGt5bVdEQWJRN0JOZ04wZz09
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Abstract: To study knots in R^3 , it’s natural to analyse the combinatorics of their projections to some plane. To generalise this to arbitrary three-manifolds, one can consider projections to spines, two-complexes which play an important role in computational topology. In addition to describing some results about spine projections of isotopic links, I’ll explain a connection to an open result about shadows of four-manifolds. The work I’ll describe is joint with Brand, Burton, Dancso, He, and Jackson.
______________________
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,
You are receiving this email because you signed up for the topology list some time before now.
If you would like to be left off the list let me know and I can do that for you.
If not, then this week I will be speaking in seminar.
The zoom link for my talk is (full zoom info is at the end of the email):
https://zoom.us/j/94529451960?pwd=ekkxYUsrRGt5bVdEQWJRN0JOZ04wZz09
Title: Fully Augmented Link complements and Bianchi Groups
Speaker: Neil Hoffman, Oklahoma State
Date: Feb 15, 2022
Time: 3:00 PM Room: Virtual
Abstract:
A Bianchi group is $PSL(2,O_d)$ for some $O_d$, the ring of integers in a quadratic imaginary field. These are some of the first and most well-studied Kleinian groups. A fully augmented link (FAL) is a natural diagrammatic object and its complement tends to have nice geometric properties as well. Some of the simplest FAL complements also cover the quotients of $H^3$ by Bianchi groups. In some sense, both objects give standard examples in 3-manifold topology.
Two natural questions are then: 1) which fully augmented link complements have this property? 2) which Bianchi groups contain a fully augmented link group? As part of joint work (in progress) with Will Worden, we can answer both of these questions save a few boundary cases. An interesting corollary of our work so far is that no FAL complement decomposes into regular ideal tetrahedra.
Topic: Okstate Topology Seminar
Time: This is a recurring meeting Meet anytime
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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