Homotopy theory | Algebraic topology

Highly structured ring spectrum

In mathematics, a highly structured ring spectrum or -ring is an object in homotopy theory encoding a refinement of a multiplicative structure on a cohomology theory. A commutative version of an -ring is called an -ring. While originally motivated by questions of geometric topology and bundle theory, they are today most often used in stable homotopy theory. (Wikipedia).

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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

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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

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RNT1.1. Definition of Ring

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

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Spectrum of Hg Lamp / amazing science experiment

Identify the spectral lines of Hg lamp Enjoy the amazing colors! Music: https://www.bensound.com/

From playlist Optics

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Commutative algebra 11 (Spectrum of a ring)

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 define the spectrum of a ring as the space of prime ideals, and give a few examples. Reading: Lectures 9

From playlist Commutative algebra

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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

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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

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Lecture 15: TC of F_p (corrected)

In this video, we compute TC of the field F_p with p-elements. As an application of this computation we deduce that THH of F_p-algebras is in a highly compatible fashion an Module over HZ. This relates to fundamental work of Kaledin and has some subtle aspects to it, which we carefully dis

From playlist Topological Cyclic Homology

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Sequential Spectra- PART 2: Preliminary Definitions

We cover one definition of sequential spectra, establish the smash tensoring and powering operations, as well as some adjunctions. Credits: nLab: https://ncatlab.org/nlab/show/Introdu... Animation library: https://github.com/3b1b/manim Music: ► Artist Attribution • Music By: "KaizanBlu"

From playlist Sequential Spectra

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Markus Land - L-Theory of rings via higher categories III

For questions and discussions of the lecture please go to our discussion forum: https://www.uni-muenster.de/TopologyQA/index.php?qa=k%26l-conference This lecture is part of the event "New perspectives on K- and L-theory", 21-25 September 2020, hosted by Mathematics Münster: https://go.wwu

From playlist New perspectives on K- and L-theory

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Chem 203. Lecture 20: The Nuclear Overhauser Effect in Stereochemical and Structure Determination

Full Chem 203 Playlist: https://www.youtube.com/playlist?list=PLqOZ6FD_RQ7nUiPCa47zSrMWArKAdwfcD UCI Chem 203 Organic Spectroscopy (Fall 2020) Lecture 20: The Nuclear Overhauser Effect in Stereochemical and Structure Determination Instructor: James S. Nowick, Ph.D. License: Creative Commo

From playlist Chemistry 203, Organic Spectroscopy (2020)

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The Jet in the Galactic Center: Future Role of mm-VLBI by H. Falcke

Extragalactic Relativistic Jets: Cause and Effect PROGRAM LINK: www.icts.res.in/program/ERG2015 DATES: Monday 12 Oct, 2015 - Tuesday 20 Oct, 2015 VENUE: Ramanujan Lecture Hall, ICTS Bangalore DESCRIPTION : Active Galactic Nuclei (AGN) are the luminous centers of galaxies that are belie

From playlist Extragalactic Relativistic Jets: Cause and Effect

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Charles Rezk: Elliptic cohomology and elliptic curves (Part 1)

The lecture was held within the framework of the Felix Klein Lectures at Hausdorff Center for Mathematics on the 1. June 2015

From playlist HIM Lectures 2015

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Bjørn Dundas: The trace map

The lecture was held within the framework of the (Junior) Hausdorff Trimester Program Topology: Workshop "Hermitian K-theory and trace methods"

From playlist HIM Lectures: Junior Trimester Program "Topology"

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Digression: THH of the integers (corrected)

In this video, we explain how to compute THH of the integers. In order to do this we compute it first relative to the element p and then use a spectral sequence to deduce the final result. This is a corrected version of the old video, in which I got the Hasse-squares at 13:10 and 24:20 w

From playlist Topological Cyclic Homology

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Kristian Moi: Real topological Hochschild homology

The lecture was held within the framework of the Hausdorff Trimester Program: K-Theory and Related Fields. Abstract: Topological Hochschild homology (THH) was introduced by Bökstedt in order to make computations of algebraic K-theory of rings and ring spectra. For rings with anti-involuti

From playlist HIM Lectures: Trimester Program "K-Theory and Related Fields"

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Carlo Barenghi: Classical and non-classical flows of superfluids

Abstract: Superfluids are remarkable because they lack mechanisms of viscous dissipations, and because vorticity is concentrated in thin vortex lines - a property which arises from the existence and uniqueness of a macroscopic wave function. In this talk I shall review recent experiments a

From playlist Numerical Analysis and Scientific Computing

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Schemes 9: Spec R is a locally ringed space

This lecture is part of an online algebraic geometry course on schemes, based on chapter II of "Algebraic geometry" by Hartshorne. It gives the proof that the spectrum of a ring R is a locally ringed space, by checking the sheaf property.

From playlist Algebraic geometry II: Schemes

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Spectra by Mohammed Abouzaid

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

Related pages

Steenrod algebra | En-ring | Loop space | Topological modular forms | Stable homotopy category | Suspension (topology) | Cohomology | Elliptic cohomology | Symmetric monoidal category | Symmetric group | Algebraic K-theory | Homotopy theory | Algebra | Simplicial set | C*-algebra | Stable model category | Morava K-theory | Geometric topology | Cup product | Quillen adjunction | Smash product | Triangulated category | Hochschild homology | Limit (category theory) | Commutative ring spectrum | Monoidal category | Stable homotopy theory | Operad | Monoid | Brown–Peterson cohomology | Model category