11 Reflexive, symmetric, and transitive properties of relations
Relations have properties named the reflexive, symmetric, and transitive properties.
From playlist Abstract algebra
Determinant of an Operator and of a Matrix
Determinant of an operator. An operator is not invertible if and only if its determinant equals 0. Formula for the characteristic polynomial in terms of determinants. Determinant of a matrix. Connection between the two notions of determinant.
From playlist Linear Algebra Done Right
15 Properties of partially ordered sets
When a relation induces a partial ordering of a set, that set has certain properties with respect to the reflexive, (anti)-symmetric, and transitive properties.
From playlist Abstract algebra
Reflexive Relations and Examples
Let A be a set. A relation R on A is a subset of A x A. Let R be a relation on A. We say R is reflexive of aRa for all a in A. In this video we go over this definition more carefully and we do several examples where we determine if the relation is reflexive. I hope this helps someone who i
From playlist Relations
Definition of Binary Operation, Commutativity, and Examples Video
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Definition of Binary Operation, Commutativity, and Examples Video. This is video 1 on Binary Operations.
From playlist Abstract Algebra
Determine if the Binary Operation Defined by the Table is Commutative and Associative
In this video we determine whether or not a binary operation is commutative and associative. The binary operation is actually defined by a table in this example. I hope this video helps someone.
From playlist Abstract Algebra
In this video we look at the commutative and associative types of operations on the two example sets from the previous video.
From playlist Abstract algebra
Workshop 1 "Operator Algebras and Quantum Information Theory" - CEB T3 2017 - E.Effros
Edward Effros (UC Los Angeles) / 13.09.17 Title: Some remarkable gems and persistent difficulties in quantized functional analysis (QFA) Abstract: QFA was a direct outgrowth of the Heisenberg and von Neumann notions of quantized random variables. Thus, one replaces n-tuples of reals by c
From playlist 2017 - T3 - Analysis in Quantum Information Theory - CEB Trimester
Some 20+ year old problems about Banach spaces and operators on them – W. Johnson – ICM2018
Analysis and Operator Algebras Invited Lecture 8.17 Some 20+ year old problems about Banach spaces and operators on them William Johnson Abstract: In the last few years numerous 20+ year old problems in the geometry of Banach spaces were solved. Some are described herein. © Internatio
From playlist Analysis & Operator Algebras
Camell Kachour - Globular perspective for Grothendieck ∞-topos and Grothendieck (∞,n)-topos
In this short talk we first briefly recall [4] how to build, for each integers n0, monads Tn on the category Glob of globular sets which algebras are globular models of (1; n)-categories, which have the virtue to be weak 1-categories of Penon and thus also to be weak 1-categories of Batani
From playlist Topos à l'IHES
Equaivalent statements about the determinant. Evaluating elementary matrices.
From playlist Linear Algebra
Gilles Pisier: The lifting property for C*-algebras
Talk by Gilles Pisier in Global Noncommutative Geometry Seminar (Americas) on January 14, 2022 in https://globalncgseminar.org/talks/the-lifting-property-for-c-algebras/
From playlist Global Noncommutative Geometry Seminar (Americas)
Bourgain–Delbaen ℒ_∞-spaces and the scalar-plus-compact property – R. Haydon & S. Argyros – ICM2018
Analysis and Operator Algebras Invited Lecture 8.16 Bourgain–Delbaen ℒ_∞-spaces, the scalar-plus-compact property and related problems Richard Haydon & Spiros Argyros Abstract: We outline a general method of constructing ℒ_∞-spaces, based on the ideas of Bourgain and Delbaen, showing how
From playlist Analysis & Operator Algebras
Gilles Pisier - Propriétés de relèvement pour les 𝐶^∗-algèbres : du local au global ?
The main problem we will consider is whether the local lifting property (LLP) of a $C^*$-algebra implies the (global) lifting property (LP). Kirchberg showed that this holds if the Connes embedding problem has a positive solution, but it might hold even if its solution is negative. We will
From playlist Annual meeting “Arbre de Noël du GDR Géométrie non-commutative”
Constructive Type Theory and Homotopy - Steve Awodey
Steve Awodey Institute for Advanced Study December 3, 2010 In recent research it has become clear that there are fascinating connections between constructive mathematics, especially as formulated in the type theory of Martin-Löf, and homotopy theory, especially in the modern treatment in
From playlist Mathematics
Higgs bundles, harmonic maps, and applications by Richard Wentworth
Higgs bundles URL: http://www.icts.res.in/program/hb2016 DATES: Monday 21 Mar, 2016 - Friday 01 Apr, 2016 VENUE : Madhava Lecture Hall, ICTS Bangalore DESCRIPTION: Higgs bundles arise as solutions to noncompact analog of the Yang-Mills equation. Hitchin showed that irreducible solutio
From playlist Higgs Bundles
Marie Kerjean: Differential linear logic extended to differential operators
HYBRID EVENT Recorded during the meeting Linear Logic Winter School" the January 28, 2022 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual
From playlist Logic and Foundations
Thierry COQUAND - Logic and topology
The logic of topos is naturally described using intuitionistic higher-order logic, an intuitionistic version of a simple theory of types, a formal system designed by A. Church (1940). Two important axioms of this formal system are the axiom of extensionality and the axiom of description. R
From playlist Topos à l'IHES
19 Defining the types of binary operations
The two types of binary operations discussed in this video are commutative and associative. We saw them in the previous video and here we define them specifically so that we can build on our repertoire to use in proofs. Remember, it is by filling up our toolbox with these definitions that
From playlist Abstract algebra