Hyperbolic knots and links | Geometric topology | Prime knots and links | Algebraic topology
In knot theory, the Whitehead link, named for J. H. C. Whitehead, is one of the most basic links. It can be drawn as an alternating link with five crossings, from the overlay of a circle and a figure-eight shaped loop. (Wikipedia).
Albert Einstein, Holograms and Quantum Gravity
In the latest campaign to reconcile Einstein’s theory of gravity with quantum mechanics, many physicists are studying how a higher dimensional space that includes gravity arises like a hologram from a lower dimensional particle theory. Read about the second episode of the new season here:
From playlist In Theory
What is General Relativity? Lesson 8: Intro to the metric connection and the induced metric.
This lesson is an introduction to the concept of the metric connection followed by a long exercise in classical differential geometry. It is a long lesson because I complete a full example: the derivation of the metric of the "glome" induced by the Euclidean metric of 4-dimensional space.
From playlist What is General Relativity?
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From playlist Science Unplugged: General Relativity
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
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From playlist Science Unplugged: Grand Unification
The Maths of General Relativity (4/8) - Metric tensor
In this series, we build together the theory of general relativity. This fourth video focuses on the notion of metric tensor, its relations to the Christoffel symbols, and physical distances. For more videos, subscribe to the YouTube channel : https://www.youtube.com/ScienceClicEN And if
From playlist The Maths of General Relativity
Why it took 379 pages to prove 1+1=2
Sign up to Brilliant to receive a 20% discount with this link! https://brilliant.org/upandatom/ Hi! I'm Jade. If you'd like to consider supporting Up and Atom, head over to my Patreon page :) https://www.patreon.com/upandatom Visit the Up and Atom store https://store.nebula.app/collecti
From playlist Math
Discrete groups in complex hyperbolic geometry (Lecture - 2) by Pierre Will
Geometry, Groups and Dynamics (GGD) - 2017 DATE: 06 November 2017 to 24 November 2017 VENUE: Ramanujan Lecture Hall, ICTS, Bengaluru The program focuses on geometry, dynamical systems and group actions. Topics are chosen to cover the modern aspects of these areas in which research has b
From playlist Geometry, Groups and Dynamics (GGD) - 2017
Special Relativity E1 Relationship between Mass and Energy
The mass energy equivalence.
From playlist Physics - Special Relativity
Karen Vogtmann - On the cohomological dimension of automorphism groups of RAAGs
The class of right-angled Artin groups (RAAGs) includes free groups and free abelian groups, Both of these have extremely interesting automorphism groups, which share some properties and not others. We are interested in automorphism groups of general RAAGs, and in particular
From playlist Groupes, géométrie et analyse : conférence en l'honneur des 60 ans d'Alain Valette
The Maths of General Relativity (1/8) - Spacetime and Worldlines
In this series, we build together the theory of general relativity. This first video focuses on the notions of worldline, proper time, and coordinate systems. For more videos, subscribe to the YouTube channel : https://www.youtube.com/ScienceClicEN And if you liked this video, you can sha
From playlist The Maths of General Relativity
Relativity 8 - the yardstick of spacetime
The final piece of the puzzle falls in place. Herman Minkowski showed that Special Relativity defines a spacetime invariant - the "proper time" - between two events. Einstein's insight into the equivalence between falling and floating allowed him to realize that this also applied to Genera
From playlist Relativity
Dale Rolfsen: Braids, Orderings and Minimal Volume Cusped Hyperbolic 3-Manifolds
Dale Rolfsen, University of British Columbia Title: Braids, Orderings and Minimal Volume Cusped Hyperbolic 3-Manifolds The orderability properties of fundamental groups of minimal volume cusped hyperbolic 3-manifolds will be explored using the theory of braids and automorphisms of free gro
From playlist 39th Annual Geometric Topology Workshop (Online), June 6-8, 2022
Introduction to Data Science - NetworkX Tutorial
Link to GitHub: https://github.com/sepinouda/Intro_to_Data_Science/tree/main/Lecture%204/Network%20Analysis Linke to NetworkX Tutorials: https://networkx.org/documentation/stable/tutorial.html Link to Gephi: https://gephi.org
From playlist Introduction to Data Science Course
Frege, Russell, & Modern Logic - A. J. Ayer & Bryan Magee (1987)
In this program, A. J. Ayer discusses the work of Gottlob Frege, Bertrand Russell, and modern logic with Bryan Magee. This is from the 1987 series on great philosophers. #Philosophy #Bryanmagee #BertrandRussell
From playlist Bryan Magee Interviews - The Great Philosophers (1987)
The Mysterious Death of Harry Houdini
Harry Houdini, one of the most famous magicians in history, died October 31, 1926 from a ruptured appendix. And yet this seemingly mundane cause of death still resulted in an enduring mystery. Had the magician and escape artist, in fact, been murdered? The History Guy recalls the strang
From playlist Extraordinary people and personalities
Most of us have dealt with acne during puberty, or maybe even after that. You probably wanted to pop or pick them in order to remove them, but don't do that! Learn more about acne and learn how to get rid of it more appropriately! Hosted by: Michael Aranda Learn more about Blackheads: ht
From playlist SciShow Infusion
Spanier Whitehead Duality by Samik Basu
PROGRAM DUALITIES IN TOPOLOGY AND ALGEBRA (ONLINE) ORGANIZERS: Samik Basu (ISI Kolkata, India), Anita Naolekar (ISI Bangalore, India) and Rekha Santhanam (IIT Mumbai, India) DATE & TIME: 01 February 2021 to 13 February 2021 VENUE: Online Duality phenomena are ubiquitous in mathematics
From playlist Dualities in Topology and Algebra (Online)
Special Relativity E3 Relationship between Mass and Energy
The mass energy equivalence.
From playlist Physics - Special Relativity
After Math: Reasoning, Proving, and Computing in the Postwar United States - Stephanie Dick
More videos on http://video.ias.edu
From playlist Historical Studies