Projective module

Rings 9 Projective modules

This lecture is part of an online course on rings and modules. We define projective modules, and give severalexamples of them, including the Moebius band, a non-principal ideal, and the tangent bundle of the sphere. For the other lectures in the course see https://www.youtube.com/playli

From playlist Rings and modules

Introduction to Projective Geometry (Part 1)

The first video in a series on projective geometry. We discuss the motivation for studying projective planes, and list the axioms of affine planes.

From playlist Introduction to Projective Geometry

algebraic geometry 15 Projective space

This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It introduces projective space and describes the synthetic and analytic approaches to projective geometry

From playlist Algebraic geometry I: Varieties

Commutative algebra 42 Projective modules

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 relation between locally free things (vector bundles) and projective things. In commutative algebra and differe

From playlist Commutative algebra

The projective Quadruple quad formula | Rational Geometry Math Foundations 148 | NJ Wildberger

In this video we introduce the projective version of the Quadruple quad formula, which not only controls the relationship between four projective points, but has a surprising connection with the geometry of the cyclic quadrilateral. The projective quadruple quad function is called R(a,b,

From playlist Math Foundations

What is a Module? (Abstract Algebra)

A module is a generalization of a vector space. You can think of it as a group of vectors with scalars from a ring instead of a field. In this lesson, we introduce the module, give a variety of examples, and talk about the ways in which modules and vector spaces are different from one an

From playlist Abstract Algebra

Projective geometry | Math History | NJ Wildberger

Projective geometry began with the work of Pappus, but was developed primarily by Desargues, with an important contribution by Pascal. Projective geometry is the geometry of the straightedge, and it is the simplest and most fundamental geometry. We describe the important insights of the 19

From playlist MathHistory: A course in the History of Mathematics

Projective and Injective Modules (part 1) - April, 28 2021

From playlist Course on Rings and Modules (Abstract Algebra 4) [Graduate Course]

Projective and Injective Modules (part 2) - April 30, 202

From playlist Course on Rings and Modules (Abstract Algebra 4) [Graduate Course]

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

Commutative algebra 43 (Stalkwise locally free modules)

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 rather technical concept of stalkwise locally free modules: those such that all localizations at primes are fre

From playlist Commutative algebra

Broué’s Abelian Defect Group Conjecture I - Jay Taylor

Seminar on Geometric and Modular Representation Theory Topic: Broué’s Abelian Defect Group Conjecture I Speaker: Jay Taylor Affiliation: University of Southern California; Member, School of Mathematics Date: September 9, 2020 For more video please visit http://video.ias.edu

From playlist Seminar on Geometric and Modular Representation Theory

Broué’s Abelian Defect Group Conjecture II - Daniel Juteau

Seminar on Geometric and Modular Representation Theory Topic: Broué’s Abelian Defect Group Conjecture II Speaker: Daniel Juteau Affiliation: Centre National de la Recherche Scientifique/Université Paris Diderot; Member, School of Mathematics Date: September 16, 2020 For more video please

From playlist Seminar on Geometric and Modular Representation Theory

Modular Representation Theory: Week Two

Presented by Chris Hone.

From playlist Modular Representation Theory

Dave Benson: Spectral methods in the representation theory of finite groups - Lecture 2

My intention is to develop the cohomology theory of finite groups and use it to discuss the stable module category and the homotopy category of complexes of injective modules, and to relate them to the modules over cochains on the classifying space. This video is part of a series of lectu

From playlist Summer School: Spectral methods in algebra, geometry, and topology

algebraic geometry 17 Affine and projective varieties

This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It covers the relation between affine and projective varieties, with some examples such as a cubic curve and the twisted cubic.

From playlist Algebraic geometry I: Varieties

MountainWest JavaScript 2014 - Browser Package Management by Guy Bedford

We still don't have a sensible package management workflow for the browser. Instead we have various pieces of package management tooling that may or may not play well together. The main reason for this is the lack of agreement on a module system and module loader for the browser. With the

From playlist MountainWest JavaScript 2014