Math 060 Linear Algebra 28 111914: Diagonalization of Matrices
Diagonalization of matrices; equivalence of diagonalizability with existence of an eigenvector basis; example of diagonalization; algebraic multiplicity; geometric multiplicity; relation between the two (geometric cannot exceed algebraic).
From playlist Course 4: Linear Algebra
Weil conjectures 7: What is an etale morphism?
This talk explains what etale morphisms are in algebraic geometry. We first review etale morphisms in the usual topology of complex manifolds, where they are just local homeomorphism, and explain why this does not work in algebraic geometry. We give a provisional definition of etale morphi
From playlist Algebraic geometry: extra topics
The Diagonalization of Matrices
This video explains the process of diagonalization of a matrix.
From playlist The Diagonalization of Matrices
Characterizations of Diagonalizability In this video, I define the notion of diagonalizability and show what it has to do with eigenvectors. Check out my Diagonalization playlist: https://www.youtube.com/playlist?list=PLJb1qAQIrmmCSovHY6cXzPMNSuWOwd9wB Subscribe to my channel: https://
From playlist Diagonalization
Every operator on a finite-dimensional complex vector space has a matrix (with respect to some basis of the vector space) that is a block diagonal matrix, with each block itself an upper-triangular matrix that contains only one eigenvalue on the diagonal.
From playlist Linear Algebra Done Right
algebraic geometry 25 Morphisms of varieties
This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It covers the definition of a morphism of varieties and compares algebraic varieties with other types of locally ringed spaces.
From playlist Algebraic geometry I: Varieties
Diagonal Matrices are Freaking Awesome
When you have a diagonal matrix, everything in linear algebra is easy Learning Objectives: 1) Solve systems, compute eigenvalues, etc for Diagonal Matrices This video is part of a Linear Algebra course taught by Dr. Trefor Bazett at the University of Cincinnati
From playlist Linear Algebra (Full Course)
Linear Algebra 1.7 Diagonal, Triangular, and Symmetric Matrices
My notes are available at http://asherbroberts.com/ (so you can write along with me). Elementary Linear Algebra: Applications Version 12th Edition by Howard Anton, Chris Rorres, and Anton Kaul
From playlist Linear Algebra
Schemes 21: Separated morphisms
This lecture is part of an online algebraic geometry course on schemes, based on chapter II of "Algebraic geometry" by Hartshorne.. We define separated and quasi-separated schemes and morphisms, give a few examples, and show that if a scheme has a separated morphism to an affine scheme the
From playlist Algebraic geometry II: Schemes
Bourbaki - 16/01/2016 - 4/4 - Benoît STROH
Benoît STROH La correspondance de Langlands sur les corps de fonctions, d’après V. Lafforgue La moitié de la correspondance de Langlands sur les corps de fonctions prédit qu’à toute représentation automorphe des points adéliques d’un groupe G on peut associer un système local sur un ouvert
From playlist Bourbaki - 16 janvier 2016
Noncommutative Geometric Invariant Theory (Lecture 2) by Arvid Siqveland
PROGRAM :SCHOOL ON CLUSTER ALGEBRAS ORGANIZERS :Ashish Gupta and Ashish K Srivastava DATE :08 December 2018 to 22 December 2018 VENUE :Madhava Lecture Hall, ICTS Bangalore In 2000, S. Fomin and A. Zelevinsky introduced Cluster Algebras as abstractions of a combinatoro-algebra
From playlist School on Cluster Algebras 2018
Julien Grivaux - The Lie algebra attached to a tame closed embedding
Abstract: If X is a smooth closed subscheme of an ambient smooth scheme Y, Calaque, Caldararu and Tu have endowed the shifted normal bundle NX/Y[−1] with a derived Lie algebroid structure. This structure generalizes the Lie algebra structure on the shifted tangent bundle TX[−1] on a smoot
From playlist Algebraic Analysis in honor of Masaki Kashiwara's 70th birthday
algebraic geometry 29 Automorphisms of space
This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It describes the automorphisms of affine and projective space, and gives a brief discussion of the Jacobian conjecture.
From playlist Algebraic geometry I: Varieties
Orthogonality and Orthonormality
We know that the word orthogonal is kind of like the word perpendicular. It implies that two vectors have an angle of ninety degrees or half pi radians between them. But this term means much more than this, as we can have orthogonal matrices, or entire subspaces that are orthogonal to one
From playlist Mathematics (All Of It)
Lie Fu: K-theoretical and motivic hyperKähler resolution conjecture
The lecture was held within the framework of the Hausdorff Trimester Program : Workshop "K-theory in algebraic geometry and number theory"
From playlist HIM Lectures: Trimester Program "K-Theory and Related Fields"
Guoliang Yu: Higher invariants in noncommutative geometry
Talk by Guoliang Yu in Global Noncommutative Geometry Seminar (Europe) http://www.noncommutativegeometry.nl/ncgseminar/ on November 30, 2020
From playlist Global Noncommutative Geometry Seminar (Europe)
The integral coefficient geometric Satake equivalence in mixed characteristic - Jize Yu
Virtual Workshop on Recent Developments in Geometric Representation Theory Topic: The integral coefficient geometric Satake equivalence in mixed characteristic Speaker: Jize Yu Affiliation: Member, School of Mathematics Date: November 16, 2020 For more video please visit http://video.ias
From playlist Virtual Workshop on Recent Developments in Geometric Representation Theory
A Relative Calabi-Yau Structure for Legendrian Contact Homology - Georgios Dimitroglou Rizell
Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar 9:15am|Remote Access Topic: A Relative Calabi-Yau Structure for Legendrian Contact Homology Speaker: Georgios Dimitroglou Rizell Affiliation: Uppsala University Date: March 31, 2023 The duality long exact sequence re
From playlist Mathematics
Katharine Turner (12/3/19): Why should q=p in the Wasserstein distance between persistence diagrams?
Title: Why should q=p in the Wasserstein distance between persistence diagrams? Let me count the ways. Abstract: The Wasserstein distance between persistence diagrams is an important generalisation of the bottleneck distance between persistence diagrams. However there is some variation wi
From playlist AATRN 2019
Linear Algebra 7.2 Orthogonal Diagonalization
My notes are available at http://asherbroberts.com/ (so you can write along with me). Elementary Linear Algebra: Applications Version 12th Edition by Howard Anton, Chris Rorres, and Anton Kaul A. Roberts is supported in part by the grants NSF CAREER 1653602 and NSF DMS 2153803.
From playlist Linear Algebra