Commutative algebra 25 Artinian rings
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 show that Artinian rings are Noetherian, probably the trickiest result of the course. As an application we
From playlist Commutative algebra
Commutative algebra 26 (Examples of Artinian rings)
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 give some examples or Artin rings and write them as products of local rings. The examples include some Arti
From playlist Commutative algebra
Commutative algebra 24 Artinian 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 define Artinian rings and modules, and give several examples of them. We then study finite length modules, show that they
From playlist Commutative algebra
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
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
Mathieu ANEL - Toposes are commutative rings
Abstract: In this talk, we shall develop the point of view comparing (higher) toposes to commutative rings. We shall then see how the corresponding integral and differential calculus are related respectively to Verdier duality and Goodwillie calculus of functors.
From playlist Topos à l'IHES
Ring Examples (Abstract Algebra)
Rings are one of the key structures in Abstract Algebra. In this video we give lots of examples of rings: infinite rings, finite rings, commutative rings, noncommutative rings and more! Be sure to subscribe so you don't miss new lessons from Socratica: http://bit.ly/1ixuu9W ♦♦♦♦♦♦♦♦♦
From playlist Abstract Algebra
Ideals in Ring Theory (Abstract Algebra)
An ideal of a ring is the similar to a normal subgroup of a group. Using an ideal, you can partition a ring into cosets, and these cosets form a new ring - a "factor ring." (Also called a "quotient ring.") After reviewing normal subgroups, we will show you *why* the definition of an ide
From playlist Abstract Algebra
Thomas Zink - Grothendieck-Messing deformation theory for Hyper-Kähler manifolds
This is joint work with Andreas Langer. Let 𝑅 be an artinian local ring with perfect residue class field 𝑘. We define Hyper-Kähler manifolds 𝑋 and their Beauville-Bogomolov form over 𝑅. We give a lifting criterion in the spirit of Grothendieck and Messing. Over the small Witt ring 𝑊̂ (𝑅) w
From playlist Journées de géométrie arithmétique de l'IHÉS
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
Integrality of the Betti Moduli Space - Johan De Jong
IAS/Princeton Arithmetic Geometry Seminar Topic: Integrality of the Betti Moduli Space Speaker: Johan De Jong Affiliation: Columbia University Date: February 13, 2023 Let X be a smooth projective variety over the complex numbers. Let M be the moduli space of irreducible representations o
From playlist Mathematics
cohomology of GL(N), adjoint Selmer groups and simplicial deformation rings by Jacques Tilouine
PERFECTOID SPACES ORGANIZERS: Debargha Banerjee, Denis Benois, Chitrabhanu Chaudhuri, and Narasimha Kumar Cheraku DATE & TIME: 09 September 2019 to 20 September 2019 VENUE: Madhava Lecture Hall, ICTS, Bangalore Scientific committee: Jacques Tilouine (University of Paris, France) Eknath
From playlist Perfectoid Spaces 2019
Math PhD Update: Uncertainty This Fall 2020 and Studying for a Qualifying Exam with No Context 🤓
There is a lot of uncertainty this fall 2020 especially with everything going on so I thought I would go ahead and give a chalkless math phd update about how things are currently going with my phd endeavors and how studying for a qualifying exam with no context is going. I spend a bit of t
From playlist Chalkless: Math PhD Updates
Commutative algebra 34 Geometry of normalizations
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 geometric meaning of finite morphisms and normal rings. Finite morphisms have the property that in the map of
From playlist Commutative algebra
In this video I will show you some of my math books. I hope you enjoy this video. Calculus by Spivak https://amzn.to/3Dqr04n Everyday Calculus https://amzn.to/3TXpnSR Sets, Sequences, and Mappings https://amzn.to/3DmoSL4 Abstract Algebra by Dummit and Foote https://amzn.to/3Fy0x7R A First
From playlist Book Reviews
This lecture is part of an online course on rings and modules. We define Noetherian rings, give several equivalent properties, and give some examples of rings that are or are not Noetherian. This will be continued in the next lecture about Hilbert's finiteness theorems. For the other
From playlist Rings and modules
This levitron manufactured by my friend İzzet Özgöçmen. We enjoyed playing with it.
From playlist Izzet Özgöçmen