What is a Group? | Abstract Algebra
Welcome to group theory! In today's lesson we'll be going over the definition of a group. We'll see the four group axioms in action with some examples, and some non-examples as well which violate the axioms and are thus not groups. In a fundamental way, groups are structures built from s
From playlist Abstract Algebra
Abstract Algebra: We define the notion of a subgroup and provide various examples. We also consider cyclic subgroups and subgroups generated by subsets in a given group G. Example include A4 and D8. U.Reddit course materials available at http://ureddit.com/class/23794/intro-to-group-
From playlist Abstract Algebra
Definition of a group Lesson 24
In this video we take our first look at the definition of a group. It is basically a set of elements and the operation defined on them. If this set of elements and the operation defined on them obey the properties of closure and associativity, and if one of the elements is the identity el
From playlist Abstract algebra
Group Definition (expanded) - Abstract Algebra
The group is the most fundamental object you will study in abstract algebra. Groups generalize a wide variety of mathematical sets: the integers, symmetries of shapes, modular arithmetic, NxM matrices, and much more. After learning about groups in detail, you will then be ready to contin
From playlist Abstract Algebra
Group Theory: The Center of a Group G is a Subgroup of G Proof
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Group Theory: The Center of a Group G is a Subgroup of G Proof
From playlist Abstract Algebra
A set and a binary operation will form a group if four conditions are satisfied. We take a look at the conditions of closure, associativity, identity and inverse.
From playlist Foundational Math
Group Theory for Physicists (Definitions with Examples)
In this video, we cover the most basic points that a physicist should know about group theory. Along the way, we'll give you lots of examples that illustrate each step. 00:00 Introduction 00:11 Definition of a Group 00:59 (1) Closure 01:34 (2) Associativity 02:02 (3) Identity Element 03:
From playlist Mathematical Physics
A group is (in a sense) the simplest structure in which we can do the familiar tasks associated with "algebra." First, in this video, we review the definition of a group.
From playlist Modern Algebra - Chapter 15 (groups)
Abstract Algebra: We introduce the notion of a group and describe basic properties. Examples given include familiar abelian groups and the symmetric groups. U.Reddit course materials available at http://ureddit.com/class/23794/intro-to-group-theory Master list at http://mathdoctorbob.o
From playlist Abstract Algebra
Lecture 1: Invitation to topos theory
This talk introduces the motivating question for this semester of the Curry-Howard seminar, which is how to organise mathematical knowledge using topoi. The approach sketched out in the talk is via first-order theories, their associated classifying topoi, and adjoint pairs of functors betw
From playlist Topos theory seminar
From Leashing a Dog, to Papers with Holes, to Rubik’s Cube-like Notations: My Favourite Puzzle
My entry to the 3Blue1Brown Summer of Mathematical Exposition Competition. In this video, I present an elegant solution to a puzzle equivalent to the picture-hanging puzzle, of “how to leash a dog to two stakes such that pulling either stake would release the dog?” The solution involves sh
From playlist Summer of Math Exposition Youtube Videos
Solitons and Symmetry - Michael Atiyah
75th Anniversary Celebration School of Mathematics Michael Atiyah March 11, 2005 More videos on http://video.ias.edu
From playlist Mathematics
Univalent foundations and the equivalence principle - Benedikt Ahrens
Vladimir Voevodsky Memorial Conference Topic: Univalent foundations and the equivalence principle Speaker: Benedikt Ahrens Affiliation: University of Birmingham Date: September 12, 2018 For more video please visit http://video.ias.edu
From playlist Vladimir Voevodsky Memorial Conference
On the structure of quantum Markov semigroups - F. Fagnola - PRACQSYS 2018 - CEB T2 2018
Franco Fagnola (Department of Mathematics, Politecnico di Milano, Italy) / 06.07.2018 On the structure of quantum Markov semigroups We discuss the relationships between the decoherence-free subalgebra and the structure of the fixed point subalgebra of a quantum Markov semigroup on B(h) w
From playlist 2018 - T2 - Measurement and Control of Quantum Systems: Theory and Experiments
Melchior Wirth: "From Entropic Curvature Bounds to Logarithmic Sobolev Inequalities"
Entropy Inequalities, Quantum Information and Quantum Physics 2021 "From Entropic Curvature Bounds to Logarithmic Sobolev Inequalities" Melchior Wirth - Institute of Science and Technology Austria (IST Austria), Department of Mathematics and Computer Science Abstract: One central questio
From playlist Entropy Inequalities, Quantum Information and Quantum Physics 2021
Instantons and Monopoles (Lecture 1) by Sergey Cherkis
Program: Quantum Fields, Geometry and Representation Theory ORGANIZERS : Aswin Balasubramanian, Saurav Bhaumik, Indranil Biswas, Abhijit Gadde, Rajesh Gopakumar and Mahan Mj DATE & TIME : 16 July 2018 to 27 July 2018 VENUE : Madhava Lecture Hall, ICTS, Bangalore The power of symmetries
From playlist Quantum Fields, Geometry and Representation Theory
From playlist Atelier PARI/GP 2016
Univalent Foundations of Mathematics - Vladimir Voevodsky
Univalent Foundations of Mathematics - Vladimir Voevodsky Institute for Advanced Study December 10, 2010 The correspondence between homotopy types and higher categorical analogs of groupoids which was first conjectured by Alexander Grothendieck naturally leads to a view of mathematics wh
From playlist Mathematics
Tim Steger: Construction of lattices defining fake projective planes - lecture 7
Recording during the meeting "Ball Quotient Surfaces and Lattices " the March 01, 2019 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathe
From playlist Algebraic and Complex Geometry
Now that we know what a quotient group is, let's take a look at an example to cement our understanding of the concepts involved.
From playlist Abstract algebra