Lie groups | Homogeneous spaces | Differential geometry | Harmonic analysis | Riemannian geometry
In mathematics, a weakly symmetric space is a notion introduced by the Norwegian mathematician Atle Selberg in the 1950s as a generalisation of symmetric space, due to Élie Cartan. Geometrically the spaces are defined as complete Riemannian manifolds such that any two points can be exchanged by an isometry, the symmetric case being when the isometry is required to have period two. The classification of weakly symmetric spaces relies on that of periodic automorphisms of complex semisimple Lie algebras. They provide examples of Gelfand pairs, although the corresponding theory of spherical functions in harmonic analysis, known for symmetric spaces, has not yet been developed. (Wikipedia).
A WEIRD VECTOR SPACE: Building a Vector Space with Symmetry | Nathan Dalaklis
We'll spend time in this video on a weird vector space that can be built by developing the ideas around symmetry. In the process of building a vector space with symmetry at its core, we'll go through a ton of different ideas across a handful of mathematical fields. Naturally, we will start
From playlist The New CHALKboard
This lecture is on Introduction to Higher Mathematics (Proofs). For more see http://calculus123.com.
From playlist Proofs
Teach Astronomy - Galaxy Environment
http://www.teachastronomy.com/ Galaxies cluster due to gravity, and so galaxies are not typically found isolated in space. Different galaxy types occupy different typical environments in the universe. Spiral galaxies tend particularly to be found in loose groups or weak concentrations.
From playlist 19. Galaxies 2
Symmetries show up everywhere in physics. But what is a symmetry? While the symmetries of shapes can be interesting, a lot of times, we are more interested in symmetries of space or symmetries of spacetime. To describe these, we need to build "invariants" which give a mathematical represen
From playlist Relativity
From playlist Unlisted LA Videos
Prove a Null Space is a Subspace
This video provides a basic proof that a null space is a subspace.
From playlist Column and Null Space
Spectra in locally symmetric spaces by Alan Reid
PROGRAM ZARISKI-DENSE SUBGROUPS AND NUMBER-THEORETIC TECHNIQUES IN LIE GROUPS AND GEOMETRY (ONLINE) ORGANIZERS: Gopal Prasad, Andrei Rapinchuk, B. Sury and Aleksy Tralle DATE: 30 July 2020 VENUE: Online Unfortunately, the program was cancelled due to the COVID-19 situation but it will
From playlist Zariski-dense Subgroups and Number-theoretic Techniques in Lie Groups and Geometry (Online)
Symmetric matrices - eigenvalues & eigenvectors
Free ebook http://tinyurl.com/EngMathYT A basic introduction to symmetric matrices and their properties, including eigenvalues and eigenvectors. Several examples are presented to illustrate the ideas. Symmetric matrices enjoy interesting applications to quadratic forms.
From playlist Engineering Mathematics
M2-branes and Supersymmetric Chern-Simons Theories, Part 3 - Daniel Jafferis
M2-branes and Supersymmetric Chern-Simons Theories, Part 3 Daniel Jafferis Institute for Advanced Study July 27, 2010
From playlist PiTP 2010
N=2 Dualities, Part 1 - Davide Gaiotto
N=2 Dualities, Part 1 Davide Gaiotto Institute for Advanced Study July 28, 2010
From playlist PiTP 2010
The Dark Side of the Universe by John Ellis
DATE : 06 June 2017, 09:15 to 10:30 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Lecture 1: June 5, Monday, 17:00 - 18:15 pm Title: The Dark Side of the Universe Astrophysicists and cosmologists tell us that most of the Universe is invisible - the stars in galaxies are held together by
From playlist Chandrasekhar Lectures
Dark Matter | Introductory Astronomy Course 9.03
Welcome to Astronomy: Exploring Time and Space, a course from Professor Impey, a University Distinguished Professor of Astronomy at the University of Arizona. Learn about the foundations of astronomy in this free online course here on YouTube. This video is part of module 9, Galaxies. Wan
From playlist Introductory Astronomy Module 9: Galaxies
Long time dynamics of 2d Euler and nonlinear inviscid damping - Hao Jia
Analysis Seminar Topic: Long time dynamics of 2d Euler and nonlinear inviscid damping Speaker: Hao Jia Affiliation: University of Minnesota Date: April 12, 2021 For more video please visit http://video.ias.edu
From playlist Mathematics
Quadratic forms and Hermite constant, reduction theory by Radhika Ganapathy
Discussion Meeting Sphere Packing ORGANIZERS: Mahesh Kakde and E.K. Narayanan DATE: 31 October 2019 to 06 November 2019 VENUE: Madhava Lecture Hall, ICTS Bangalore Sphere packing is a centuries-old problem in geometry, with many connections to other branches of mathematics (number the
From playlist Sphere Packing - 2019
This video explains the definition of a vector space and provides examples of vector spaces.
From playlist Vector Spaces
Weakly Commensurable Arithmetic Groups and Isospectral Locally Symmetric Spaces - Gopal Prasad
Gopal Prasad University of Michigan; Member, School of Mathematics February 27, 2012 Andrei Rapinchuk and I have introduced a new notion of ``weak-commensurability’’ of subgroups of two semi-simple groups. We have shown that existence of weakly-commensurable Zariski-dense subgroups in semi
From playlist Mathematics
Tensionless AdS/CFT (Lecture 1) by Matthias Gaberdiel
PROGRAM KAVLI ASIAN WINTER SCHOOL (KAWS) ON STRINGS, PARTICLES AND COSMOLOGY (ONLINE) ORGANIZERS Francesco Benini (SISSA, Italy), Bartek Czech (Tsinghua University, China), Dongmin Gang (Seoul National University, South Korea), Sungjay Lee (Korea Institute for Advanced Study, South Korea
From playlist Kavli Asian Winter School (KAWS) on Strings, Particles and Cosmology (ONLINE) - 2022
What is the Symmetric Difference of 2 Sets?
What is the symmetric difference of 2 sets? In this video we go over the symmetric difference of sets, explaining it in a couple ways including what is probably the briefest way. The symmetric difference of two sets A and B is (A union B)-(A intersect B). If you need to know what the defin
From playlist Set Theory
Dual spaces and linear functionals In this video, I introduce the concept of a dual space, which is the analog of a "shadow world" version, but for vector spaces. I also give some examples of linear and non-linear functionals. This seems like an innocent topic, but it has a huge number of
From playlist Dual Spaces