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
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
Ring Definition (expanded) - Abstract Algebra
A ring is a commutative group under addition that has a second operation: multiplication. These generalize a wide variety of mathematical objects like the integers, polynomials, matrices, modular arithmetic, and more. In this video we will take an in depth look at the definition of a rin
From playlist Abstract Algebra
Stirring the Mandelbrot Set: a checkerboard
http://code.google.com/p/mandelstir/
From playlist mandelstir
Recollections of I.M. Gelfand [2013]
RECOLLECTIONS Thursday, August 29 3:30PM – 5:45PM Gelfand Recollections session (room 34-101; to be continued at the conference banquet) Gelfand Centennial Conference: A View of 21st Century Mathematics MIT, Room 34-101, August 28 - September 2, 2013 http://math.mit.edu/conferences/Gelf
From playlist Mathematics
Representations of Galois algebras – Vyacheslav Futorny – ICM2018
Lie Theory and Generalizations Invited Lecture 7.3 Representations of Galois algebras Vyacheslav Futorny Abstract: Galois algebras allow an effective study of their representations based on the invariant skew group structure. We will survey their theory including recent results on Gelfan
From playlist Lie Theory and Generalizations
Saturn: Best Rings in the Solar System
I think that nine out of ten people, if you ask them to picture a planet in their minds, will picture Saturn. Why? It's those rings! They are irresistible. Rings are to planets as peanut butter is to chocolate. The perfect complement. But there is much more to Saturn than just its rings. T
From playlist Astronomy/Astrophysics
Categories 3 Natural transformations
This lecture is part of an online course on category theory. We define natural isomorphisms and natural transformations of functors, and give some examples. For the other lectures in the course see https://www.youtube.com/playlist?list=PL8yHsr3EFj51F9XZ_Ka4bLnQoxTdMx0AL
From playlist Categories for the idle mathematician
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
Drinfeld Module Basics - part 01
This is a very elementary introduction to Drinfeld Modules. We just give the definitions. My wife helped me with this. Any mistakes I make are my fault.
From playlist Drinfeld Modules
Gromov–Witten Invariants and the Virasoro Conjecture (Remote Talk) by Ezra Getzler
J-Holomorphic Curves and Gromov-Witten Invariants DATE:25 December 2017 to 04 January 2018 VENUE:Madhava Lecture Hall, ICTS, Bangalore Holomorphic curves are a central object of study in complex algebraic geometry. Such curves are meaningful even when the target has an almost complex stru
From playlist J-Holomorphic Curves and Gromov-Witten Invariants
The Mandelbrot set is a churning machine
Its job is to fling off the red pixels and hang onto the green ones. Audio by @Dorfmandesign
From playlist mandelstir
How to Create Order From Chaos, with Philippe Petit | Big Think
How to Create Order From Chaos, with Philippe Petit New videos DAILY: https://bigth.ink Join Big Think Edge for exclusive video lessons from top thinkers and doers: https://bigth.ink/Edge ---------------------------------------------------------------------------------- Working-class peop
From playlist Confessions of an Outlaw: A Creativity Workshop, with Philippe Petit
Jacob Lurie - Tamagawa Numbers and Nonabelian Poincare Duality, I [2013]
Jacob Lurie Wednesday, August 28 3:10PM Tamagawa Numbers and Nonabelian Poincare Duality, I Gelfand Centennial Conference: A View of 21st Century Mathematics MIT, Room 34-101, August 28 - September 2, 2013 Abstract: Let q and q0 be positive definite integral quadratic forms. We say that
From playlist Number Theory
algebraic geometry 14 Dimension
This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It covers the dimension of a topological space, algebraic set, or ring.
From playlist Algebraic geometry I: Varieties
How power affects the way you behave—and the way you’re punished | Michele Gelfand | Big Think
How power affects the way you behave—and the way you’re punished Watch the newest video from Big Think: https://bigth.ink/NewVideo Join Big Think Edge for exclusive videos: https://bigth.ink/Edge ---------------------------------------------------------------------------------- Rules, whe
From playlist Best Videos | Big Think
Ben Webster: Gelfand-Tsetlin theory and Coulomb branches
Abstract: The algebra U(gln) contains a famous and beautiful commutative subalgebra, called the Gelfand-Tsetlin subalgebra. One problem which has attracted great attention over the recent decades is to classify the simple modules on which this subalgebra acts locally finitely (the Gelfand-
From playlist Algebra
Karel Pravda-Starov: Sufficient geometric conditions for the null-controllability of evolution...
The lecture was held within the of the Hausdorff Trimester Program: Kinetic Theory Topic: Sufficient geometric conditions for the null-controllability of evolution equations enjoying Gelfand-Shilov smoothing properties Abstract: We consider evolution equations enjoying Gelfand-Shilov sm
From playlist HIM Lectures: Junior Trimester Program "Kinetic Theory"
Abstract Algebra: The definition of a Ring
Learn the definition of a ring, one of the central objects in abstract algebra. We give several examples to illustrate this concept including matrices and polynomials. Be sure to subscribe so you don't miss new lessons from Socratica: http://bit.ly/1ixuu9W ♦♦♦♦♦♦♦♦♦♦ We recommend th
From playlist Abstract Algebra