Knot theory

History of knot theory

Knots have been used for basic purposes such as recording information, fastening and tying objects together, for thousands of years. The early, significant stimulus in knot theory would arrive later with Sir William Thomson (Lord Kelvin) and his vortex theory of the atom. (Wikipedia).

History of knot theory
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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

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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)

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Introduction to Algebraic Theory of Quandles (Lecture - 1) 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)

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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

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Knots and Quantum Theory - Edward Witten

Edward Witten Institute for Advanced Study December 15, 2010 A knot is simply a tangled loop in ordinary three-dimensional space, such as often causes us frustration in everyday life. Knots are also the subject of a rather rich mathematical theory. In the last three decades, it has unexpec

From playlist Natural Sciences

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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)

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Overview of Knots and Motivation of Quandels 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 onl

From playlist Knots Through Web (Online)

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Knots, three-manifolds and instantons – Peter Kronheimer & Tomasz Mrowka – ICM2018

Plenary Lecture 11 Knots, three-manifolds and instantons Peter Kronheimer & Tomasz Mrowka Abstract: Over the past four decades, input from geometry and analysis has been central to progress in the field of low-dimensional topology. This talk will focus on one aspect of these developments

From playlist Plenary Lectures

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Sir Michael Atiyah - The Mysteries of Space [1991]

The 64th annual Gibbs Lecture was given by Sir Michael Atiyah, Fellow of the Royal Society, of Trinity College, Cambridge, England. At a conference in San Francisco, California in January 1991, he delivered "Physics and the mysteries of space", which was filmed and made available on videot

From playlist Mathematics

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How Knots Help Us Understand the World

Knots are everywhere in our daily lives, but a new branch of mathematics is taking things to the next level. Hosted by: Hank Green SciShow has a spinoff podcast! It's called SciShow Tangents. Check it out at http://www.scishowtangents.org ---------- Support SciShow by becoming a patron o

From playlist Uploads

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Topology and Physics - Clay Cordova with Edward Witten

https://www.ias.edu/events/ideas-2017-18 More videos on http://video.ias.edu

From playlist Ideas 2017-18

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A conversation between Louis Kauffman and Stephen Wolfram at the Wolfram Summer School 2021

Stephen Wolfram plays the role of Salonnière in this new, on-going series of intellectual explorations with special guests. Watch all of the conversations here: https://wolfr.am/youtube-sw-conversations Follow us on our official social media channels. Twitter: https://twitter.com/Wolfra

From playlist Conversations with Special Guests

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Joel Hass - Lecture 1 - Algorithms and complexity in the theory of knots and manifolds - 18/06/18

School on Low-Dimensional Geometry and Topology: Discrete and Algorithmic Aspects (http://geomschool2018.univ-mlv.fr/) Joel Hass (University of California at Davis, USA) Algorithms and complexity in the theory of knots and manifolds Abstract: These lectures will introduce algorithmic pro

From playlist Joel Hass - School on Low-Dimensional Geometry and Topology: Discrete and Algorithmic Aspects

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Science & Technology Q&A for Kids (and others) [Part 48]

Stephen Wolfram hosts a live and unscripted Ask Me Anything about science and technology for all ages. Find the playlist of Q&A's here: https://wolfr.am/youtube-sw-qa Originally livestreamed at: https://twitch.tv/stephen_wolfram Outline of Q&A 0:00 Stream starts 3:11 Stephen begins the s

From playlist Stephen Wolfram Ask Me Anything About Science & Technology

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Mechanics and curves | Math History | NJ Wildberger

The laws of motion as set out by Newton built upon work of Oresme, Galileo and others on dynamics, and the relations between distance, velocity and acceleration in trajectories. With Newton's laws and the calculus, a whole new arena of practical and theoretical investigations opened up to

From playlist MathHistory: A course in the History of Mathematics

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Math vs Physics - Numberphile

Robbert Dijkgraaf is a mathematical physicist. Extra footage from this interview: https://youtu.be/FpkvNJCVEUA More links & stuff in full description below ↓↓↓ Robbert Dijkgraaf website: http://www.robbertdijkgraaf.com Physics videos by Brady (who makes Numberphile): https://www.youtube.

From playlist Animations by Pete McPartlan

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