Group actions (mathematics) | Topological spaces | Topology
In mathematics, equivariant topology is the study of topological spaces that possess certain symmetries. In studying topological spaces, one often considers continuous maps , and while equivariant topology also considers such maps, there is the additional constraint that each map "respects symmetry" in both its domain and target space. The notion of symmetry is usually captured by considering a group action of a group on and and requiring that is equivariant under this action, so that for all , a property usually denoted by . Heuristically speaking, standard topology views two spaces as equivalent "up to deformation," while equivariant topology considers spaces equivalent up to deformation so long as it pays attention to any symmetry possessed by both spaces. A famous theorem of equivariant topology is the Borsuk–Ulam theorem, which asserts that every -equivariant map necessarily vanishes. (Wikipedia).
Linear Algebra: Ch 3 - Eigenvalues and Eigenvectors (5 of 35) What is an Eigenvector?
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain and show (in general) what is and how to find an eigenvector. Next video in this series can be seen at: https://youtu.be/SGJHiuRb4_s
From playlist LINEAR ALGEBRA 3: EIGENVALUES AND EIGENVECTORS
10A An Introduction to Eigenvalues and Eigenvectors
A short description of eigenvalues and eigenvectors.
From playlist Linear Algebra
The method of determining eigenvalues as part of calculating the sets of solutions to a linear system of ordinary first-order differential equations.
From playlist A Second Course in Differential Equations
Linear Algebra: Ch 3 - Eigenvalues and Eigenvectors (2 of 35) What Are Eigenvalues? (Part 2)
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain and show the eigenvalue, lambda, is derived from a matrix (Part 2). Next video in this series can be seen at: https://youtu.be/A_unWhKa7Sw
From playlist LINEAR ALGEBRA 3: EIGENVALUES AND EIGENVECTORS
Linear Algebra: Ch 3 - Eigenvalues and Eigenvectors (3 of 35) What Are Eigenvalues? (Example 1)
Visit http://ilectureonline.com for more math and science lectures! In this video I will, using the trace of matrix A, find the eigenvalues, lambda1=? and lambda2=?, given a 2x2 matrix (example 1). Next video in this series can be seen at: https://youtu.be/kHH1tjWtDAU
From playlist LINEAR ALGEBRA 3: EIGENVALUES AND EIGENVECTORS
Linear Algebra: Ch 3 - Eigenvalues and Eigenvectors (10 of 35) Bases and Eigenvalues: 2
Visit http://ilectureonline.com for more math and science lectures! In this video I will explore and give an example of finding the basis for the eigenspace associated with matrix A and eigenvalue=1. Next video in this series can be seen at: https://youtu.be/Bz9BUM1fRe0
From playlist LINEAR ALGEBRA 3: EIGENVALUES AND EIGENVECTORS
Teena Gerhardt - 3/3 Algebraic K-theory and Trace Methods
Algebraic K-theory is an invariant of rings and ring spectra which illustrates a fascinating interplay between algebra and topology. Defined using topological tools, this invariant has important applications to algebraic geometry, number theory, and geometric topology. One fruitful approac
From playlist Summer School 2020: Motivic, Equivariant and Non-commutative Homotopy Theory
Mark Grant (10/22/20): Bredon cohomology and LS-categorical invariants
Title: Bredon cohomology and LS-categorical invariants Abstract: Farber posed the problem of describing the topological complexity of aspherical spaces in terms of algebraic invariants of their fundamental groups. In Part One of this talk, I’ll discuss joint work with Farber, Lupton and O
From playlist Topological Complexity Seminar
Linear Algebra: Ch 3 - Eigenvalues and Eigenvectors (7 of 35) Given the Eigenvector, Eigenvalues=?
Visit http://ilectureonline.com for more math and science lectures! In this video I will find eigenvalues=?, lambda1=? and lambda2=?, given a 2x2 matrix and 2 eigenvectors. Next video in this series can be seen at: https://youtu.be/hoxxwzU-kA4
From playlist LINEAR ALGEBRA 3: EIGENVALUES AND EIGENVECTORS
Act globally, compute...points and localization - Tara Holm
Tara Holm Cornell University; von Neumann Fellow, School of Mathematics October 20, 2014 Localization is a topological technique that allows us to make global equivariant computations in terms of local data at the fixed points. For example, we may compute a global integral by summing inte
From playlist Mathematics
Teena Gerhardt - 2/3 Algebraic K-theory and Trace Methods
Algebraic K-theory is an invariant of rings and ring spectra which illustrates a fascinating interplay between algebra and topology. Defined using topological tools, this invariant has important applications to algebraic geometry, number theory, and geometric topology. One fruitful approac
From playlist Summer School 2020: Motivic, Equivariant and Non-commutative Homotopy Theory
Dianel Isaksen - 3/3 Motivic and Equivariant Stable Homotopy Groups
Notes: https://nextcloud.ihes.fr/index.php/s/4N5kk6MNT5DMqfp I will discuss a program for computing C2-equivariant, ℝ-motivic, ℂ-motivic, and classical stable homotopy groups, emphasizing the connections and relationships between the four homotopical contexts. The Adams spectral sequence
From playlist Summer School 2020: Motivic, Equivariant and Non-commutative Homotopy Theory
Linear Algebra: Ch 3 - Eigenvalues and Eigenvectors (18 of 35) Checking Eigenvectors
Visit http://ilectureonline.com for more math and science lectures! In this video I will show an interesting property of multiplying the original matrix by its eigenvector, the resultant vector will be a multiple of the eigenvector. Next video in this series can be seen at: https://youtu
From playlist LINEAR ALGEBRA 3: EIGENVALUES AND EIGENVECTORS
Graph Nets: The Next Generation - Max Welling
Seminar on Theoretical Machine Learning Topic: Graph Nets: The Next Generation Speaker: Max Welling Affiliation: University of Amsterdam Date: July 21, 2020 For more video please visit http://video.ias.edu
From playlist Mathematics
Cyclic homology and S1S1-equivariant symplectic cohomology - Sheel Ganatra
Sheel Ganatra Stanford University November 21, 2014 In this talk, we study two natural circle actions in Floer theory, one on symplectic cohomology and one on the Hochschild homology of the Fukaya category. We show that the geometric open-closed string map between these two complexes is S
From playlist Mathematics
Linear Algebra - Lecture 33 - Eigenvectors and Eigenvalues
In this lecture, we define eigenvectors and eigenvalues of a square matrix. We also prove a couple of useful theorems related to these concepts.
From playlist Linear Algebra Lectures
Teena Gerhardt - 1/3 Algebraic K-theory and Trace Methods
Algebraic K-theory is an invariant of rings and ring spectra which illustrates a fascinating interplay between algebra and topology. Defined using topological tools, this invariant has important applications to algebraic geometry, number theory, and geometric topology. One fruitful approac
From playlist Summer School 2020: Motivic, Equivariant and Non-commutative Homotopy Theory
Sheel Ganatra: The Floer theory of a cotangent bundle, the string topology of the base and...
Find 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, bibliographies,
From playlist Jean-Morlet Chair - Lalonde/Teleman
Linear Algebra: Ch 3 - Eigenvalues and Eigenvectors (6 of 35) How to Find the Eigenvector
Visit http://ilectureonline.com for more math and science lectures! In this video I will find eigenvectors=? given a 2x2 matrix and 2 eigenvalues. Next video in this series can be seen at: https://youtu.be/EaormewNDpM
From playlist LINEAR ALGEBRA 3: EIGENVALUES AND EIGENVECTORS