In mathematics, a Spin(7)-manifold is an eight-dimensional Riemannian manifold whose holonomy group is contained in Spin(7). Spin(7)-manifolds are Ricci-flat and admit a parallel spinor. They also admit a parallel 4-form, known as the Cayley form, which is a calibrating form for a special class of submanifolds called Cayley cycles. (Wikipedia).
Spin in quantum mechanics is an incredibly interesting property. However, it can be very difficult to understand what exactly it is. In this video, we dispel some misconceptions about spin as well as answer some of the more frequently asked questions about spin. #physics #quantum
From playlist Quantum Mechanics
Manifolds #5: Tangent Space (part 1)
Today, we introduce the notion of tangent vectors and the tangent vector space at a point on a manifold.
From playlist Manifolds
Manifolds 1.3 : More Examples (Animation Included)
In this video, I introduce the manifolds of product manifolds, tori/the torus, real vectorspaces, matrices, and linear map spaces. This video uses a math animation for visualization. Email : fematikaqna@gmail.com Code : https://github.com/Fematika/Animations Notes : http://docdro.id/5koj5
From playlist Manifolds
What is the "spin" of a particle?
“Spin” is one of the core building blocks of quantum reality, but it is a subtle concept to grasp. Here’s Brian Greene with one way to think about it. Subscribe to our YouTube Channel for all the latest from World Science U. Visit our Website: http://www.worldscienceu.com/ Like us on Fac
From playlist Science Unplugged: Quantum Mechanics
What is a Manifold? Lesson 15: The cylinder as a quotient space
What is a Manifold? Lesson 15: The cylinder as a quotient space This lesson covers several different ideas on the way to showing how the cylinder can be described as a quotient space. Lot's of ideas in this lecture! ... too many probably....
From playlist What is a Manifold?
What is a Four-Vector? Is a Spinor a Four-Vector? | Special Relativity
In special relativity, we are dealing a lot with four-vectors, but what exactly is a four-vector? A four-vector is an object with four entries, which get transformed and changed in a very special way after we change our frame of reference. More precisely, a four-vector transforms like a (1
From playlist Special Relativity, General Relativity
Gérard Besson: Some open 3-manifolds
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Algebraic and Complex Geometry
Manifolds 1.2 : Examples of Manifolds
In this video, I describe basic examples of manifolds. Email : fematikaqna@gmail.com Code : https://github.com/Fematika/Animations Notes : http://docdro.id/IZO0G25
From playlist Manifolds
Overview of gauge theory and submanifold geometry on G_2 manifolds - Simon Donaldson [2014]
Name: Simon Donaldson Event: Program: G2 manifolds Event URL: view webpage Title: Overview of gauge theory and submanifold geometry on G_2 manifolds, I Date: 2014-08-19 @3:30 PM
From playlist Mathematics
You've Heard of SPIN - But How Is it Encoded in the Math of Quantum Physics? Parth G
The concept of Spin is hard, but the mathematics is actually quite simple! In this video I wanted to take a look at how we build up our mathematical representation (or at least one of them) of quantum mechanical spin. To do this, we'll start by looking at the spin of an electron, and unde
From playlist Quantum Physics by Parth G
Vasily Pestun - 1/4 Quantum gauge theories and integrable systems
Seiberg-Witten theory maps supersymmetric four-dimensional gauge theories with extended supersymmetry to algebraic completely integrable systems. For large class of such integrable systems the phase space is the moduli space of solutions of self-dual hyperKahler equations and their low-dim
From playlist Vasily Pestun - Quantum gauge theories and integrable system
Stiefel Liquids: Possibly Non-Lagrangian Critical Spin Liquids by Yin-Chen He
PROGRAM FRUSTRATED METALS AND INSULATORS (HYBRID) ORGANIZERS Federico Becca (University of Trieste, Italy), Subhro Bhattacharjee (ICTS-TIFR, India), Yasir Iqbal (IIT Madras, India), Bella Lake (Helmholtz-Zentrum Berlin für Materialien und Energie, Germany), Yogesh Singh (IISER Mohali, In
From playlist FRUSTRATED METALS AND INSULATORS (HYBRID, 2022)
Jianfeng Lin - On monopole Lefschetz number
June 29, 2018 - This talk was part of the 2018 RTG mini-conference Low-dimensional topology and its interactions with symplectic geometry
From playlist 2018 RTG mini-conference on low-dimensional topology and its interactions with symplectic geometry II
Exceptional holonomy and related geometric structures: Basic theory - Simon Donaldson
Marston Morse Lectures Topic: Exceptional holonomy and related geometric structures: Basic theory. Speaker: Simon Donaldson Affiliation: Stonybrook University Date: April 3, 2018 For more videos, please visit http://video.ias.edu
From playlist Mathematics
Exceptional holonomy and related geometric structures: Examples and moduli theory - Simon Donaldson
Marston Morse Lectures Topic: Exceptional holonomy and related geometric structures: Examples and moduli theory. Speaker: Simon Donaldson Affiliation: Stonybrook University Date: April 4, 2018 For more videos, please visit http://video.ias.edu
From playlist Mathematics
Positive-definite symplectic four-manifolds - Jennifer Hom
Jennifer Hom, IAS 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 academic yea
From playlist Workshop on Flows, Foliations and Contact Structures
A hitchin-kobayashi correspondance for generalized seiberg-witten equations by Varun Thakre
Program : Integrable systems in Mathematics, Condensed Matter and Statistical Physics ORGANIZERS : Alexander Abanov, Rukmini Dey, Fabian Essler, Manas Kulkarni, Joel Moore, Vishal Vasan and Paul Wiegmann DATE & TIME : 16 July 2018 to 10 August 2018 VENUE : Ramanujan L
From playlist Integrable systems in Mathematics, Condensed Matter and Statistical Physics
Michael Atiyah, Seminars Geometry and Topology 1/2 [2009]
Seminars on The Geometry and Topology of the Freudenthal Magic Square Date: 9/10/2009 Video taken from: http://video.ust.hk/Watch.aspx?Video=98D80943627E7107
From playlist Mathematics
We introduce spin in the x-direction, and its relation to spin in the z-direction.
From playlist Quantum Mechanics Uploads
Benjamin Stamm - Acceleration of quantum mechanical systems by exploiting similarity - IPAM at UCLA
Recorded 05 May 2022. Benjamin Stamm of RWTH Aachen University presents "Acceleration of quantum mechanical systems by exploiting similarity" at IPAM's Large-Scale Certified Numerical Methods in Quantum Mechanics Workshop. Abstract: In this talk, we will present two examples of exploiting
From playlist 2022 Large-Scale Certified Numerical Methods in Quantum Mechanics