In mathematics, an exceptional isomorphism, also called an accidental isomorphism, is an isomorphism between members ai and bj of two families, usually infinite, of mathematical objects, that is not an example of a pattern of such isomorphisms. These coincidences are at times considered a matter of trivia, but in other respects they can give rise to other phenomena, notably exceptional objects. In the following, coincidences are listed wherever they occur. (Wikipedia).
Group Isomorphisms in Abstract Algebra
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Group Isomorphisms in Abstract Algebra - Definition of a group isomorphism and isomorphic groups - Example of proving a function is an Isomorphism, showing the group of real numbers under addition is isomorphic to the group of posit
From playlist Abstract Algebra
Isomorphisms in abstract algebra
In this video I take a look at an example of a homomorphism that is both onto and one-to-one, i.e both surjective and injection, which makes it a bijection. Such a homomorphism is termed an isomorphism. Through the example, I review the construction of Cayley's tables for integers mod 4
From playlist Abstract algebra
Chapter 6: Homomorphism and (first) isomorphism theorem | Essence of Group Theory
The isomorphism theorem is a very useful theorem when it comes to proving novel relationships in group theory, as well as proving something is a normal subgroup. But not many people can understand it intuitively and remember it just as a kind of algebraic coincidence. This video is about t
From playlist Essence of Group Theory
Isomorphisms (Abstract Algebra)
An isomorphism is a homomorphism that is also a bijection. If there is an isomorphism between two groups G and H, then they are equivalent and we say they are "isomorphic." The groups may look different from each other, but their group properties will be the same. Be sure to subscribe s
From playlist Abstract Algebra
Linear Algebra 8.3 Isomorphism
My notes are available at http://asherbroberts.com/ (so you can write along with me). Elementary Linear Algebra: Applications Version 12th Edition by Howard Anton, Chris Rorres, and Anton Kaul A. Roberts is supported in part by the grants NSF CAREER 1653602 and NSF DMS 2153803.
From playlist Linear Algebra
Abstract Algebra | Properties of isomorphisms.
We prove some important properties of isomorphisms. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Abstract Algebra
Abstract Algebra: In analogy with bijections for sets, we define isomorphisms for groups. We note various properties of group isomorphisms and a method for constructing isomorphisms from onto homomorphisms. We also show that isomorphism is an equivalence relation on the class of groups.
From playlist Abstract Algebra
23 Algebraic system isomorphism
Isomorphic algebraic systems are systems in which there is a mapping from one to the other that is a one-to-one correspondence, with all relations and operations preserved in the correspondence.
From playlist Abstract algebra
Homomorphisms in abstract algebra
In this video we add some more definition to our toolbox before we go any further in our study into group theory and abstract algebra. The definition at hand is the homomorphism. A homomorphism is a function that maps the elements for one group to another whilst maintaining their structu
From playlist Abstract algebra
Sophie Morel - 2/3 Shimura Varieties
Depending on your point of view, Shimura varieties are a special kind of locally symmetric spaces, a generalization of moduli spaces of abelian schemes with extra structures, or the imperfect characteristic 0 version of moduli spaces of shtuka. They play an important role in the Langlands
From playlist 2022 Summer School on the Langlands program
Lie Fu: K-theoretical and motivic hyperKähler resolution conjecture
The lecture was held within the framework of the Hausdorff Trimester Program : Workshop "K-theory in algebraic geometry and number theory"
From playlist HIM Lectures: Trimester Program "K-Theory and Related Fields"
Eyal Markman: Hyperholomorphic sheaves and generalized deformations of K3 surfaces
This talk will elaborate on the role hyperholomorphic sheaves play in generalized deformations of K3 surfaces, described in the talk of Sukhendu Mehrotra. The lecture was held within the framework of the Junior Hausdorff Trimester Program Algebraic Geometry. (12.2.2014)
From playlist HIM Lectures: Junior Trimester Program "Algebraic Geometry"
Identifying Isomorphic Trees | Source Code | Graph Theory
Source code for identifying isomorphic trees Related videos: Tree Isomorphism video: https://youtu.be/OCKvEMF0Xac Tree center(s) video: https://youtu.be/Fa3VYhQPTOI Rooting a tree video: https://youtu.be/2FFq2_je7Lg Source code repository: https://github.com/williamfiset/algorithms#tree
From playlist Tree Algorithms
Marcello Bernardara: Semiorthogonal decompositions and birational geometry of geometrically rational
Abstract:This is a joint work in progress with A. Auel. Let S be a geometrically rational del Pezzo surface over a field k. In this talk, I will show how the k-rationality of S is equivalent to the existence of some semiorthogonal decompositions of its derived category. In particular, the
From playlist HIM Lectures: Junior Trimester Program "Algebraic Geometry"
25. Interactive Proof Systems, IP
MIT 18.404J Theory of Computation, Fall 2020 Instructor: Michael Sipser View the complete course: https://ocw.mit.edu/18-404JF20 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP60_JNv2MmK3wkOt9syvfQWY Quickly reviewed last lecture. Introduced the interactive proof syste
From playlist MIT 18.404J Theory of Computation, Fall 2020
Strong approximation for the Markoff equation via nonabelian level structures...- William Chen
Joint IAS/Princeton University Number Theory Seminar Topic: Strong approximation for the Markoff equation via nonabelian level structures on elliptic curves Speaker: William Chen Affiliation: Columbia University Date: November 5, 2020 For more video please visit http://video.ias.edu
From playlist Mathematics
Galois theory: Algebraic closure
This lecture is part of an online graduate course on Galois theory. We define the algebraic closure of a field as a sort of splitting field of all polynomials, and check that it is algebraically closed. We hen give a topological proof that the field C of complex numbers is algebraically
From playlist Galois theory
Winter School JTP: Homological mirror symmetry for log Calabi-Yau surfaces, Ailsa Keating
Given a log Calabi-Yau surface Y with maximal boundary D, I’ll explain how to construct a mirror Landau-Ginzburg model, and sketch a proof of homological mirror symmetry for these pairs when (Y,D) is distinguished within its deformation class (this is mirror to an exact manifold). I’ll exp
From playlist Winter School on “Connections between representation Winter School on “Connections between representation theory and geometry"
Algebra 1M - international Course no. 104016 Dr. Aviv Censor Technion - International school of engineering
From playlist Algebra 1M