Math 131 Fall 2018 120318 Equicontinuity and Uniform Convergence
Review of previous results. Equicontinuity. Exercise: finite set of uniformly continuous functions is equicontinuous. A uniformly convergent sequence of continuous functions on a compact set is equicontinuous. Theorem of Ascoli-Arzela: a pointwise bounded sequence of equicontinuous fun
From playlist Course 7: (Rudin's) Principles of Mathematical Analysis (Fall 2018)
Symmetric Groups (Abstract Algebra)
Symmetric groups are some of the most essential types of finite groups. A symmetric group is the group of permutations on a set. The group of permutations on a set of n-elements is denoted S_n. Symmetric groups capture the history of abstract algebra, provide a wide range of examples in
From playlist Abstract Algebra
Marcin Sabok: Perfect matchings in hyperfinite graphings
Recorded during the meeting "XVI International Luminy Workshop in Set Theory" the September 16, 2021 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 Au
From playlist Probability and Statistics
Stefaan Vaes: "Outer actions of amenable groups on von Neumann algebras"
Actions of Tensor Categories on C*-algebras 2021 Mini Course: "Outer actions of amenable groups on von Neumann algebras" Stefaan Vaes - KU Leuven Abstract: I will give a survey lecture on the classification of outer actions of amenable groups on von Neumann algebras with the main focus b
From playlist Actions of Tensor Categories on C*-algebras 2021
Christopher Schafhauser: On the classification of nuclear simple C*-algebras, Lecture 4
Mini course of the conference YMC*A, August 2021, University of Münster. Abstract: A conjecture of George Elliott dating back to the early 1990’s asks if separable, simple, nuclear C*-algebras are determined up to isomorphism by their K-theoretic and tracial data. Restricting to purely i
From playlist YMC*A 2021
Geometric Algebra - Rotors and Quaternions
In this video, we will take note of the even subalgebra of G(3), see that it is isomorphic to the quaternions and, in particular, the set of rotors, themselves in the even subalgebra, correspond to the set of unit quaternions. This brings the entire subject of quaternions under the heading
From playlist Math
8ECM Invited Lecture: Stuart White
From playlist 8ECM Invited Lectures
Commutative algebra 27 (Associated primes)
This lecture is part of an online course on commutative algebra, following the book "Commutative algebra with a view toward algebraic geometry" by David Eisenbud. We show that every finitely generated module M over a Noetherian ring R can broken up into modules of the form R/p for p prime
From playlist Commutative algebra
Kristin Courtney: "The abstract approach to classifying C*-algebras"
Actions of Tensor Categories on C*-algebras 2021 Mini Course: "The abstract approach to classifying C*-algebras" Kristin Courtney - Westfälische Wilhelms-Universität Münster Institute for Pure and Applied Mathematics, UCLA January 21, 2021 For more information: https://www.ipam.ucla.edu
From playlist Actions of Tensor Categories on C*-algebras 2021
Jesse Peterson: Von Neumann algebras and lattices in higher-rank groups, Lecture 2
Mini course of the conference YMC*A, August 2021, University of Münster. Lecture 2: Some approximation properties. Abstract: We discuss some approximation properties that are common in "rank 1" groups: Weak amenability and biexactness. YMC*A is an annual conference organised for and by ma
From playlist YMC*A 2021
Luca Giorgetti: "Distortion for II_1 multifactor inclusions and bimodules"
Actions of Tensor Categories on C*-algebras 2021 "Distortion for II_1 multifactor inclusions and bimodules" Luca Giorgetti - Università degli Studi di Roma "Tor Vergata" Abstract: We introduce an invariant, called distortion, for inclusions of II_1 von Neumann algebras with finite index
From playlist Actions of Tensor Categories on C*-algebras 2021
Commutative algebra 47: Colimits and exactness
This lecture is part of an online course on commutative algebra, following the book "Commutative algebra with a view toward algebraic geometry" by David Eisenbud. We discuss the question of when a colimit of exact sequences is exact. We first show that a colimit of right exact sequences i
From playlist Commutative algebra
Abstract Algebra 1.4 : Kernels and Normal Subgroups
In this video, I prove that kernels are normal subgroups and that normal subgroups are kernels. Email : fematikaqna@gmail.com Code : https://github.com/Fematika/Animations Notes : None yet
From playlist Abstract Algebra
Workshop 1 "Operator Algebras and Quantum Information Theory" - CEB T3 2017 - Reinhard F. Werner
Reinhard F. Werner (Hannover) / 12.09.17 Title: Alice and Bob and von Neumann Abstract: Alice and Bob stand for the separated labs scenario, a standard setting for many quantum informational tasks, where two labs are not connected by quantum interactions, but are capable of arbitrary loc
From playlist 2017 - T3 - Analysis in Quantum Information Theory - CEB Trimester
FIT4.1. Galois Group of a Polynomial
EDIT: There was an in-video annotation that was erased in 2018. My source (Herstein) assumes characteristic 0 for the initial Galois theory section, so separability is an automatic property. Let's assume that unless noted. In general, Galois = separable plus normal. Field Theory: We
From playlist Abstract Algebra
Commutative algebra 21 Tensor products and exactness
This lecture is part of an online course on commutative algebra, following the book "Commutative algebra with a view toward algebraic geometry" by David Eisenbud. In this lecture we study when taking tensor product preserves exactness. We also show that tensor products preserve direct lim
From playlist Commutative algebra
Matthew Lorentz: The Hochschild cohomology of uniform Roe algebras
Talk by Jonathan Rosenberg in Global Noncommutative Geometry Seminar (Americas) http://www.math.wustl.edu/~xtang/NCG-Seminar.html on October 28, 2020.
From playlist Global Noncommutative Geometry Seminar (Americas)