In invariant theory, a branch of algebra, given a group G, a covariant is a G-equivariant polynomial map between linear representations V, W of G. It is a generalization of a classical convariant, which is a homogeneous polynomial map from the space of binary m-forms to the space of binary p-forms (over the complex numbers) that is -equivariant. (Wikipedia).
What is a Tensor? Lesson 18: The covariant derivative continued
What is a Tensor? Lesson 18: The covariant derivative continued This lesson covers some of the "coordinate free" language used to describe the covariant derivative. As a whole this lecture is optional. However, becoming comfortable with coordinate free language is probably a good idea. I
From playlist What is a Tensor?
Lorentz Covariance VS Lorentz Invariance: What's the Difference? | Special Relativity
In special relativity, Lorentz covariance and Lorentz invariance are two very important concepts. But what exactly are these concepts? In this video, we will find out! Contents: 00:00 Definitions 00:51 Examples If you want to help us get rid of ads on YouTube, you can support us on Patr
From playlist Special Relativity, General Relativity
In this first video on cosets, I show you the equivalence relation on a group, G, that will turn out to create equivalence classes, which are actually cosets. We will prove later that these equivalence classes created by an element in the group, G, are equal to the set of element made up
From playlist Abstract algebra
Commutative algebra 4 (Invariant theory)
This lecture is part of an online course on commutative algebra, following the book "Commutative algebra with a view toward algebraic geometry" by David Eisenbud. This lecture is an informal historical summary of a few results of classical invariant theory, mainly to show just how complic
From playlist Commutative algebra
Newton’s Universal Gravitation vs Coulomb’s Law
This video explains the differences and similarities between Newton’s Universal Law of Gravitation and Coulomb’s Law for electrostatic forces. Newton’s Universal Law of Gravitation is used to calculate the magnitude of the force of attraction between two objects that have mass and Coulomb’
From playlist Coulomb's Law and the Electric Force
What is General Relativity? Lesson 14: The covariant derivative of a covector
We start by demonstrating that contraction commutes with directional covariant derivative and then derive the CFREE and COMP expressions for the covariant derivative of a covector.
From playlist What is General Relativity?
From playlist Courses and Series
Tensor Calculus 3a: The Covariant Basis
This course will eventually continue on Patreon at http://bit.ly/PavelPatreon Textbook: http://bit.ly/ITCYTNew Errata: http://bit.ly/ITAErrata McConnell's classic: http://bit.ly/MCTensors Table of Contents of http://bit.ly/ITCYTNew Rules of the Game Coordinate Systems and the Role of Te
From playlist Introduction to Tensor Calculus
An introduction to Invariant Theory - Harm Derksen
Optimization, Complexity and Invariant Theory Topic: An introduction to Invariant Theory Speaker: Harm Derksen Affiliation: University of Michigan Date: June 4, 2018 For more videos, please visit http://video.ias.edu
From playlist Mathematics
Lec 09. Einstein's General Relativity and Gravitation: General Relativity 5
UCI Physics 255 Einstein's General Relativity and Gravitation (Spring 2014) Lec 09. Einstein's General Relativity and Gravitation -- General Relativity -- Part 5 View the complete course: http://ocw.uci.edu/courses/einsteins_general_relativity_and_gravitation.html Instructor: Herbert W. Ha
From playlist Einstein's General Relativity and Gravitation
Homology cobordism and triangulations – Ciprian Manolescu – ICM2018
Geometry | Topology Invited Lecture 5.5 | 6.1 Homology cobordism and triangulations Ciprian Manolescu Abstract: The study of triangulations on manifolds is closely related to understanding the three-dimensional homology cobordism group. We review here what is known about this group, with
From playlist Geometry
Lec 08. Einstein's General Relativity and Gravitation: General Relativity 4
UCI Physics 255 Einstein's General Relativity and Gravitation (Spring 2014) Lec 08. Einstein's General Relativity and Gravitation -- General Relativity -- Part 4 View the complete course: http://ocw.uci.edu/courses/einsteins_general_relativity_and_gravitation.html Instructor: Herbert W. Ha
From playlist Einstein's General Relativity and Gravitation
Supersymmetry and Superspace, Part 2 - Jon Bagger
Supersymmetry and Superspace, Part 2 Jon Bagger Johns Hopkins University July 20, 2010
From playlist PiTP 2010
36: Lorentz transformations - Part 2
Jacob Linder: 08.03.2012, Classical Mechanics (TFY4345) , v2012 NTNU A full textbook covering the material in the lectures in detail can be downloaded for free here: http://bookboon.com/en/introduction-to-lagrangian-hamiltonian-mechanics-ebook
From playlist NTNU: TFY 4345 - Classical Mechanics | CosmoLearning Physics
Lecture 7 | New Revolutions in Particle Physics: Standard Model
(February 22, 2010) Professor Leonard Susskind discusses spontaneous symmetry breaking and gauge invariance. This course is a continuation of the Fall quarter on particle physics. The material will focus on the Standard Model of particle physics, especially quantum chromodynamics (the the
From playlist Lecture Collection | Particle Physics: Standard Model
G actions in SUSY QM; or, the Fukaya category of point/G by Tudor Dimofte
Program: Quantum Fields, Geometry and Representation Theory ORGANIZERS : Aswin Balasubramanian, Saurav Bhaumik, Indranil Biswas, Abhijit Gadde, Rajesh Gopakumar and Mahan Mj DATE & TIME : 16 July 2018 to 27 July 2018 VENUE : Madhava Lecture Hall, ICTS, Bangalore The power of symmetries
From playlist Quantum Fields, Geometry and Representation Theory
A Random Matrix Bayesian framework for out-of-sample quadratic optimization - Marc Potters
Marc Potters CFM November 6, 2013 For more videos, please visit http://video.ias.edu
From playlist Mathematics
Shannon 100 - 27/10/2016 - Anne AUGER
How information theory sheds new light on black-box optimization Anne Auger (INRIA) Black-box optimization problems occur frequently in many domains ranging from engineering to biology or medicine. In black-box optimization, no information on the function to be optimized besides current
From playlist Shannon 100
Pure Gauge Flux Tubes and Effective Strings by N.D. Hari Dass
PROGRAM NONPERTURBATIVE AND NUMERICAL APPROACHES TO QUANTUM GRAVITY, STRING THEORY AND HOLOGRAPHY (HYBRID) ORGANIZERS: David Berenstein (University of California, Santa Barbara, USA), Simon Catterall (Syracuse University, USA), Masanori Hanada (University of Surrey, UK), Anosh Joseph (II
From playlist NUMSTRING 2022
Introduction to geometric invariant theory 1: Noncommutative duality - Ankit Garg
Optimization, Complexity and Invariant Theory Topic: Introduction to geometric invariant theory 1: Noncommutative duality Speaker: Ankit Garg Affiliation: Microsoft Research New England Date: June 5. 2018 For more videos, please visit http://video.ias.edu
From playlist Mathematics