Satellite operations and Legendrian knot theory - John Etnyre
Satellite operations and Legendrian knot theory Augmentations and Legendrians at the IAS Topic: Satellite operations and Legendrian knot theory Speaker: John Etnyre Date: Thursday, February 11 Satellite operations are a common way to create interesting knot types in the smooth category. I
From playlist Mathematics
Algebraic topology: Fundamental group of a knot
This lecture is part of an online course on algebraic topology. We calculate the fundamental group of (the complement of) a knot, and give a couple of examples. For the other lectures in the course see https://www.youtube.com/playlist?list=PL8yHsr3EFj52yxQGxQoxwOtjIEtxE2BWx
From playlist Algebraic topology
Three Knot-Theoretic Perspectives on Algebra - Zsuzsanna Dancso
Zsuzsanna Dancso University of Toronto; Institute for Advanced Study September 21, 2011 For more videos, visit http://video.ias.edu
From playlist Mathematics
In this video, I define connectedness, which is a very important concept in topology and math in general. Essentially, it means that your space only consists of one piece, whereas disconnected spaces have two or more pieces. I also define the related notion of path-connectedness. Topology
From playlist Topology
MegaFavNumbers - 1701936 knots
My contribution to the #MegaFavNumbers project. A brief introduction to mathematical knot theory, and a 19th-century Theory of Everything that didn't quite work out. References: J Hoste, M Thistlethwaite, J Weeks, "The First 1701936 Knots", Mathematical Intelligencer 20.4 (1998) 33-48
From playlist MegaFavNumbers
Teach Astronomy - Topology of the Universe
http://www.teachastronomy.com/ Astronomers sometimes talk about the topology of the universe which is a mathematical description of the three dimensional structure in terms of mathematical shapes. Using this formalism astronomers are of course simplifying something that's actually very co
From playlist 20. Galaxy Interaction and Motion
Kimihiko Motegi: L-space knots in twist families and satellite L-space knots
Abstract: Twisting a knot K in S3 along a disjoint unknot c produces a twist family of knots {Kn} indexed by the integers. Comparing the behaviors of the Seifert genus g(Kn) and the slice genus g4(Kn) under twistings, we prove that if g(Kn)−g4(Kn) [is less than] C for some constant C for i
From playlist Topology
Jessica Purcell - Lecture 1 - Hyperbolic knots and alternating knots
Jessica Purcell, Monash University Title: Hyperbolic knots and alternating knots Hyperbolic geometry has been used since around the mid-1970s to study knot theory, but it can be difficult to relate geometry of knots to a diagram of a knot. However, many results from the 1980s and beyond s
From playlist 39th Annual Geometric Topology Workshop (Online), June 6-8, 2022
Colin Adams: Hyperbolic Volumes of Virtual Knots and their Compositions
Colin Adams, Williams College Title: Hyperbolic Volumes of Virtual Knots and their Compositions Hyperbolic Volumes of Virtual Knots and their Compositions\\ \noindent\textbf{Abstract:} Many knots are known to be hyperbolic and therefore have a hyperbolic volume. But composite knots are n
From playlist 39th Annual Geometric Topology Workshop (Online), June 6-8, 2022
Sergey Melikhov - Not all links are isotopic to PL links
38th Annual Geometric Topology Workshop (Online), June 15-17, 2021 Sergey Melikhov, Steklov Math Institute (Moscow) Title: Not all links are isotopic to PL links Abstract: Two links in the 3-sphere are called (non-ambiently) isotopic if they are homotopic through embeddings. D. Rolfsen (
From playlist 38th Annual Geometric Topology Workshop (Online), June 15-17, 2021
A survey of quandle theory by Mohamed Elhamdadi
PROGRAM KNOTS THROUGH WEB (ONLINE) ORGANIZERS: Rama Mishra, Madeti Prabhakar and Mahender Singh DATE & TIME: 24 August 2020 to 28 August 2020 VENUE: Online Due to the ongoing COVID-19 pandemic, the original program has been canceled. However, the meeting will be conducted through onli
From playlist Knots Through Web (Online)
Marc Lackenby - Using machine learning to formulate mathematical conjectures - IPAM at UCLA
Recorded 14 February 2023. Marc Lackenby of the University of Oxford presents "Using machine learning to formulate mathematical conjectures" at IPAM's Machine Assisted Proofs Workshop. Abstract: I will describe how machine learning can be used as a tool for pure mathematicians to formulate
From playlist 2023 Machine Assisted Proofs Workshop
Knot Theory and Machine Learning - Andras Juhasz
DeepMind Workshop Topic: Knot Theory and Machine Learning Speaker: Andras Juhasz Affiliation: University of Oxford Date: March 28, 2022 The signature of a knot K in the 3-sphere is a classical invariant that gives a lower bound on the genera of compact oriented surfaces in the 4-ball wi
From playlist DeepMind Workshop
Hyperbolic Knot Theory (Lecture - 2) by Abhijit Champanerkar
PROGRAM KNOTS THROUGH WEB (ONLINE) ORGANIZERS: Rama Mishra, Madeti Prabhakar, and Mahender Singh DATE & TIME: 24 August 2020 to 28 August 2020 VENUE: Online Due to the ongoing COVID-19 pandemic, the original program has been canceled. However, the meeting will be conducted through onl
From playlist Knots Through Web (Online)
Why Space Itself May Be Quantum in Nature - with Jim Baggott
Loop quantum gravity aims to unify the theories of general relativity and quantum mechanics, as explained by Jim Baggott. Subscribe for regular science videos: http://bit.ly/RiSubscRibe Buy Jim's book "Quantum Space": https://geni.us/7cLy Quantum gravity is the holy grail for modern theo
From playlist Ri Talks
Taut foliations and cyclic branched covers - Cameron Gordon
Cameron Gordon, Univ Texas Workshop on Flows, Foliations and Contact Structures 2015-2016 Monday, December 7, 2015 - 08:00 to Friday, December 11, 2015 - 12:00 This workshop is part of the topical program "Geometric Structures on 3-Manifolds" which will take place during the 2015-2016 aca
From playlist Workshop on Flows, Foliations and Contact Structures
Introduction to Algebraic Theory of Quandles (Lecture - 2) by Valeriy Bardakov
PROGRAM KNOTS THROUGH WEB (ONLINE) ORGANIZERS: Rama Mishra, Madeti Prabhakar, and Mahender Singh DATE & TIME: 24 August 2020 to 28 August 2020 VENUE: Online Due to the ongoing COVID-19 pandemic, the original program has been canceled. However, the meeting will be conducted through onl
From playlist Knots Through Web (Online)