The Spectral Theorem
                        
                        The Complex Spectral Theorem and the Real Spectral Theorem, with examples.
                        
                        Sheldon Axler
                    
                 
                                                
                    
                    
                    
                        Alain Connes, « Why Four Dimensions and the Standard Model Coupled to Gravity ... »
                        
                        "Why Four Dimensions and the Standard Model Coupled to Gravity - A Tentative Explanation From the New Geometric Paradigm of NCG" by Alain Connes, ...
                        
                        ERC PhiloQuantumGravity
                    
                 
                                                
                    
                    
                    
                        Mod-06 Lec-21 Linear Functionals. The Dual Space. Dual Basis I
                        
                        Linear Algebra by Dr. K.C. Sivakumar,Department of Mathematics,IIT Madras.For more details on NPTEL visit http://nptel.ac.in.
                        
                        nptelhrd
                    
                 
                                                
                    
                    
                    
                        Self adjoint, Unitary and Normal operators
                        
                        Course Name:-Functional Analysis Subject:-Mathematics keywords:-SwayamPrabha.
                        
                        Ch 30 NIOS: Gyanamrit
                    
                 
                                                
                    
                    
                    
                        Lazaro Recht: Metric geometry in homogeneous spaces of the unitary group of a C* -algebra. 2
                        
                        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 ...
                        
                        Centre International de Rencontres Mathématiques
                    
                 
                                                
                    
                    
                    
                        Differential structures: the pivotal concept of tangent vector spaces - Lec 09 - Frederic Schuller
                        
                        This is from a series of lectures - "Lectures on the Geometric Anatomy of Theoretical Physics" delivered by Dr.Frederic P Schuller.
                        
                        Frederic Schuller
                    
                 
                                                
                    
                    
                    
                        Introduction to Noncommutative Metric Geometry-Chao Kusollerschariya (NU) at CU Math Seminar
                        
                        
                        
                        MathTalkComKorTalk
                    
                 
                                                
                    
                    
                    
                        Alexander Goncharov - 3/4 Quantum Geometry of Moduli Spaces of Local Systems...
                        
                        Quantum Geometry of Moduli Spaces of Local Systems and Representation Theory Lectures 1-3 are mostly based on our recent work with Linhui Shen. Given a ...
                        
                        Institut des Hautes Études Scientifiques (IHÉS)
                    
                 
                                                
                    
                    
                    
                        Kyoto U. "Integral equations, the spectral theorem and an introduction to noncommutative geometry"
                        
                        Top Global Course Special Lectures "Integral equations, the spectral theorem and an introduction to noncommutative geometry" Nigel Higson Pennsylvania ...
                        
                        Kyoto-U OCW
                    
                 
                                                
                    
                    
                    
                        An Introduction to Hilbert Spaces
                        
                        In this video, I introduce the Hilbert Space and describe its properties. Questions? Let me know in the comments! Prereqs: Previous video on vector spaces, ...
                        
                        Faculty of Khan
                    
                 
                                                
                    
                    
                    
                        Causality and Noncommutativity, Andrzej Sitarz
                        
                        In the quest for a mathematical model, which could be a suitable tool to describe the geometry of small scale physics (or quantum gravity physics) one ...
                        
                        Copernicus Center for Interdisciplinary Studies
                    
                 
                                                
                    
                    
                    
                        Mod-01 Lec-25 Hilbert Adjoint Operator
                        
                        Functional Analysis by Prof. P.D. Srivastava, Department of Mathematics, IIT Kharagpur. For more details on NPTEL visit http://nptel.iitm.ac.in.
                        
                        nptelhrd
                    
                 
                                                
                    
                    
                    
                        Covariant derivatives - Lec 25 - Frederic Schuller
                        
                        This is from a series of lectures - "Lectures on the Geometric Anatomy of Theoretical Physics" delivered by Dr.Frederic P Schuller.
                        
                        Frederic Schuller
                    
                 
                                                
                    
                    
                    
                        Linear Algebra 2k2: Linear Systems *Are* a Decomposition Problem
                        
                        This course is on Lemma: http://lem.ma Lemma looking for developers: http://lem.ma/jobs Other than http://lem.ma, I recommend Strang http://bit.ly/StrangYT, ...
                        
                        MathTheBeautiful
                    
                 
                                                
                    
                    
                    
                        Linear Algebra Vignette 1a: Matrix Representation of a Linear Transformation
                        
                        This course is on Lemma: http://lem.ma Lemma looking for developers: http://lem.ma/jobs Other than http://lem.ma, I recommend Strang http://bit.ly/StrangYT, ...
                        
                        MathTheBeautiful
                    
                 
                                                
                    
                    
                    
                        Mod-01 Lec-18 Dual Spaces with Examples
                        
                        Functional Analysis by Prof. P.D. Srivastava, Department of Mathematics, IIT Kharagpur. For more details on NPTEL visit http://nptel.iitm.ac.in.
                        
                        nptelhrd
                    
                 
                                                
                    
                    
                    
                        Eigenvectors and eigenvalues | Essence of linear algebra, chapter 14
                        
                        Home page: https://www.3blue1brown.com/ A visual understanding of eigenvectors, eigenvalues, and the usefulness of an eigenbasis. Full series: ...
                        
                        3Blue1Brown
                    
                 
                                                
                    
                    
                    
                        Symplectic Dynamics of Integrable Hamiltonian Systems - Alvaro Pelayo
                        
                        Alvaro Pelayo Member, School of Mathematics April 4, 2011 I will start with a review the basic notions of Hamiltonian/symplectic vector field and of ...
                        
                        Institute for Advanced Study
                    
                 
                                                
                    
                    
                    
                        The music of shapes
                        
                        Lecture with Prof. Alain Connes.
                        
                        Université de Genève (UNIGE)
                    
                 
                                                
                    
                    
                    
                        Noncommutative Choquet simplices
                        
                        Speaker: Matthew Kennedy, University of Waterloo Event: The 48th Canadian Operator Symposium http://www.fields.utoronto.ca/activities/19-20/COSy Title: ...
                        
                        Fields Institute
                    
                 
                                                
                    
                    
                    
                        Quantum Mechanics -- a Primer for Mathematicians
                        
                        Juerg Frohlich ETH Zurich; Member, School of Mathematics, IAS December 3, 2012 A general algebraic formalism for the mathematical modeling of physical ...
                        
                        Institute for Advanced Study
                    
                 
                                                
                    
                    
                    
                        Eigenvalue Feature 3:  Nontrivial Null Space
                        
                        This course is on Lemma: http://lem.ma Lemma looking for developers: http://lem.ma/jobs Other than http://lem.ma, I recommend Strang http://bit.ly/StrangYT, ...
                        
                        MathTheBeautiful
                    
                 
                                                
                    
                    
                    
                        Linear functionals and adjoints part 2, self-adjoint maps
                        
                        
                        
                        Linear Algebra
                    
                 
                                                
                    
                    
                    
                        Mod-14 Lec-51 Normal Operators - Spectral Theorem
                        
                        Linear Algebra by Dr. K.C. Sivakumar,Department of Mathematics,IIT Madras.For more details on NPTEL visit http://nptel.ac.in.
                        
                        nptelhrd
                    
                 
                                                
                    
                    
                    
                        Bounds for character twists of L-functions - Paul Nelson
                        
                        Locally Symmetric Spaces Seminar Topic: Bounds for character twists of L-functions Speaker: Paul Nelson Affiliation: ETH Zurich Date: March 13, 2018 For more ...
                        
                        Institute for Advanced Study
                    
                 
                                                
                    
                    
                    
                        Discrete Differential Geometry - Lecture 18: The Laplace Operator
                        
                        Full playlist: https://www.youtube.com/playlist?list=PL9_jI1bdZmz0hIrNCMQW1YmZysAiIYSSS For more information see http://geometry.cs.cmu.edu/ddg.
                        
                        Keenan Crane
                    
                 
                                                
                    
                    
                    
                        Tensor Calculus Lecture 8c: The Curvature Tensor On The Sphere Of Radius R
                        
                        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: ...
                        
                        MathTheBeautiful
                    
                 
                                                
                    
                    
                    
                        Conferências Magnas: David Mumford - Geodesic warping of Euclidean space, its dynamics... (2012)
                        
                        Geodesic warping of Euclidean space, its dynamics, curvature and applications Speaker: David Mumford - Professor Emérito da Universidade de Brown Event ...
                        
                        Instituto de Matemática Pura e Aplicada
                    
                 
                                                
                    
                    
                    
                        Free Entropy - Philippe Biane
                        
                        Philippe Biane Université Paris-Est Marne-la-Vallée April 22, 2014 Free entropy is a quantity introduced 20 years ago by D. Voiculescu in order to investigate ...
                        
                        Institute for Advanced Study
                    
                 
                                                
                    
                    
                    
                        Linear Algebra Vignette 3b: Easy Eigenvalues - Diagonal Entry
                        
                        This course is on Lemma: http://lem.ma Lemma looking for developers: http://lem.ma/jobs Other than http://lem.ma, I recommend Strang http://bit.ly/StrangYT, ...
                        
                        MathTheBeautiful
                    
                 
                                                
                    
                    
                    
                        Simone Warzel - 2/3 Topics in random operator theory
                        
                        
                        
                        Institut des Hautes Études Scientifiques (IHÉS)
                    
                 
                                                
                    
                    
                    
                        An Introduction to Liouville Theory - Antti Kupiainen
                        
                        Special Mathematics Physics Seminar Topic: An Introduction to Liouville Theory Speaker: Antti Kupiainen Affiliation: University of Helsinki Date: May 15, 2018 ...
                        
                        Institute for Advanced Study
                    
                 
                                                
                    
                    
                    
                        Mod-01 Lec-35 Eigenvalues and Eigenvectors
                        
                        Elementary Numerical Analysis by Prof. Rekha P. Kulkarni,Department of Mathematics,IIT Bombay.For more details on NPTEL visit http://nptel.ac.in.
                        
                        nptelhrd
                    
                 
                                                
                    
                    
                    
                        Workshop 1 "Operator Algebras and Quantum Information Theory" - CEB T3 2017 - A.Gheondea
                        
                        Aurelian Gheondea (Bilkent University, Ankara) / 11.09.17 Title: Symmetry versus Conservation Laws in Dynamical Quantum Systems: A Unifying Approach ...
                        
                        Institut Henri Poincaré
                    
                 
                                                
                    
                    
                    
                        Vaughan Jones | July 21, 2020 | Applied von Neumann algebra
                        
                        Speaker: Vaughan Jones Title: Applied von Neumann algebra Abstract: We are interested in mathematical results which are stated entirely without reference to ...
                        
                        Mathematical Picture Language
                    
                 
                                                
                    
                    
                    
                        Konstantin Khanin: Between mathematics and physics
                        
                        Abstract: Over the past few decades we have witnessed an unparalleled process of unification between mathematics and physics. In this talk we shall discuss ...
                        
                        The Abel Prize
                    
                 
                                                
                    
                    
                    
                        Mod-01 Lec-36 Spectral Theorem
                        
                        Elementary Numerical Analysis by Prof. Rekha P. Kulkarni,Department of Mathematics,IIT Bombay.For more details on NPTEL visit http://nptel.ac.in.
                        
                        nptelhrd
                    
                 
                                                
                    
                    
                    
                        The Hypoelliptic Laplacian: An Introduction - Jean-Michel Bismut
                        
                        Jean-Michel Bismut Universite de Paris-Sud March 26, 2013 For more videos, visit http://video.ias.edu.
                        
                        Institute for Advanced Study
                    
                 
                                                
                    
                    
                    
                        Sept. 17, Chapter 4 (Linear algebra)
                        
                        
                        
                        Peter Woit
                    
                 
                                                
                    
                    
                    
                        Spectral geometry and spectral action, Bruno Iochum
                        
                        The lecture entitled "Spectral geometry & spectral action" delivered by Bruno Iochum during the workshop "Noncommutative Geometry and Cosmology" ...
                        
                        Copernicus Center for Interdisciplinary Studies
                    
                 
                                                
                    
                    
                    
                        Hilbert Space Techniques in Complex Analysis and Geometry  (Lecture 5) by Dror Varolin
                        
                        PROGRAM CAUCHY-RIEMANN EQUATIONS IN HIGHER DIMENSIONS ORGANIZERS: Sivaguru, Diganta Borah and Debraj Chakrabarti DATE: 15 July 2019 ...
                        
                        International Centre for Theoretical Sciences
                    
                 
                                                
                    
                    
                    
                        Sept. 22, Chapter 5 (Lie Algebras and Lie Algebra Representations)
                        
                        
                        
                        Peter Woit