Categories 6 Monoidal categories
This lecture is part of an online course on categories. We define strict monoidal categories, and then show how to relax the definition by introducing coherence conditions to define (non-strict) monoidal categories. We finish by defining symmetric monoidal categories and showing how super
From playlist Categories for the idle mathematician
Geometry of Frobenioids - part 2 - (Set) Monoids
This is an introduction to the basic properties of Monoids. This video intended to be a starting place for log-schemes, Mochizuki's IUT or other absolute geometric constructions using monoids.
From playlist Geometry of Frobenioids
Rings and modules 2: Group rings
This lecture is part of an online course on rings and modules. We decribe some examples of rings constructed from groups and monoids, such as group rings and rings of Dirichlet polynomials. For the other lectures in the course see https://www.youtube.com/playlist?list=PL8yHsr3EFj52XDLrm
From playlist Rings and modules
Definition of a Ring and Examples of Rings
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Definition of a Ring and Examples of Rings - Definition of a Ring. - Definition of a commutative ring and a ring with identity. - Examples of Rings include: Z, Q, R, C under regular addition and multiplication The Ring of all n x
From playlist Abstract Algebra
What is the definition of a monomial and polynomials with examples
👉 Learn how to classify polynomials based on the number of terms as well as the leading coefficient and the degree. When we are classifying polynomials by the number of terms we will focus on monomials, binomials, and trinomials, whereas classifying polynomials by the degree will focus on
From playlist Classify Polynomials
Ring Theory: We define rings and give many examples. Items under consideration include commutativity and multiplicative inverses. Example include modular integers, square matrices, polynomial rings, quaternions, and adjoins of algebraic and transcendental numbers.
From playlist Abstract Algebra
Visual Group Theory, Lecture 7.1: Basic ring theory
Visual Group Theory, Lecture 7.1: Basic ring theory A ring is an abelian group (R,+) with a second binary operation, multiplication and the distributive law. Multiplication need not commute, nor need there be multiplicative inverses, so a ring is like a field but without these properties.
From playlist Visual Group Theory
Rings and midules 3: Burnside ring and rings of differential operators
This lecture is part of an online course on rings and modules. We discuss a few assorted examples of rings. The Burnside ring of a group is a ring constructed form the permutation representations. The ring of differentail operators is a ring whose modules are related to differential equat
From playlist Rings and modules
Andy Magid, University of Oklahoma
Andy Magid, University of Oklahoma Differential Brauer Monoids
From playlist Online Workshop in Memory of Ray Hoobler - April 30, 2020
Lecture 7: Hochschild homology in ∞-categories
In this video, we construct Hochschild homology in an arbitrary symmetric-monoidal ∞-category. The most important special case is the ∞-category of spectra, in which we get Topological Hochschild homology. Feel free to post comments and questions at our public forum at https://www.uni-mu
From playlist Topological Cyclic Homology
Higher Algebra 13: The Tate diagonal
In this video we discuss the Tate diagonal, which is a surprising feature of the world of spectra. For further details on this construction, see https://arxiv.org/pdf/1707.01799.pdf, section III.1. Feel free to post comments and questions at our public forum at https://www.uni-muenster
From playlist Higher Algebra
Andy Magid, University of Oklahoma (hybrid talk)
October 21, Andy Magid, University of Oklahoma Differential Projective Modules
From playlist Fall 2022 Online Kolchin seminar in Differential Algebra
Matt SZCZESNY - Toric Hall Algebras and infinite-dimentional Lie algebras
The process of counting extensions in categories yields an associative (and sometimes Hopf) algebra called a Hall algebra. Applied to the category of Feynman graphs, this process recovers the Connes-Kreimer Hopf algebra. Other examples abound, yielding various combinatorial Hopf algebras.
From playlist Algebraic Structures in Perturbative Quantum Field Theory: a conference in honour of Dirk Kreimer's 60th birthday
From Magmas to Fields: a trippy excursion through algebra - SoME2 3b1b
A gentle introduction to the most basic definitions in Algebra (and how to make them stick forever). If you always struggled to remember what a field is this video is for you. You will learn about: 0:00 This videos aim 1:20 Sets 1:52 Magmas 3:15 Semigroups 4:39 Monoids 5:22 Groups 6:04 Co
From playlist Summer of Math Exposition 2 videos
Jack Morava: On the group completion of the Burau representation
Abstract: On fundamental groups, the discriminant ∏i≠k(zi – zk) ∈ C^× of a finite collection of points of the plane defines the abelianization homomorphism sending a braid to its number of overcrossings less undercrossings or writhe. In terms of diffeomorphisms of the punctured plane, it
From playlist SMRI Algebra and Geometry Online
Patrick Popescu Pampu: A proof of Neumann-Wahl Milnor fibre Conjecture via logarithmic...- Lecture 4
HYBRID EVENT Recorded during the meeting "Milnor Fibrations, Degenerations and Deformations from Modern Perspectives" the September 10, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given
From playlist Algebraic and Complex Geometry
Polynomials - Classifying Monomials, Binomials & Trinomials - Degree & Leading Coefficient
This algebra video tutorial provides a basic introduction into polynomials. It explains how to identify a monomial, binomial, and a trinomial according to the number of terms present in an algebraic expression. it also explains how to identify all of the terms in a polynomial as well as
From playlist New Algebra Playlist