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
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
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
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
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
Center of a group in abstract algebra
After the previous video where we saw that two of the elements in the dihedral group in six elements commute with all the elements in the group, we finally get to define the center of a group. The center of a group is a subgroup and in this video we also go through the proof to show this.
From playlist Abstract algebra
Michael Wibmer: Etale difference algebraic groups
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Algebraic and Complex Geometry
Symmetric Groups (Abstract Algebra)
Symmetric groups are some of the most essential types of finite groups. A symmetric group is the group of permutations on a set. The group of permutations on a set of n-elements is denoted S_n. Symmetric groups capture the history of abstract algebra, provide a wide range of examples in
From playlist Abstract Algebra
Ramiro Lafuente: Non-compact Einstein manifolds with symmetry
Abstract: In this talk we will discuss recent joint work in collaboration with Christoph Böhm in which we obtain structure results for non-compact Einstein manifolds admitting a cocompact isometric action of a connected Lie group. As an application, we prove the Alekseevskii conjecture (19
From playlist MATRIX-SMRI Symposium: Singularities in Geometric Flows
Bourbaki - 24/01/15 - 4/4 - Philippe EYSSIDIEUX
Métriques de Kähler-Einstein sur les variétés de Fano [d'après Chen-Donaldson-Sun et Tian]
From playlist Bourbaki - 24 janvier 2015
Einstein's Quantum Riddle | Full Documentary | NOVA | PBS
Join scientists as they grab light from across the universe to prove quantum entanglement is real. #NOVAPBS Official Website: https://to.pbs.org/3vqiMpg Einstein called it “spooky action at a distance,” but today quantum entanglement is poised to revolutionize technology from computers t
From playlist Full episodes I NOVA
Foundations of General Relativity - Andrew Strominger
General Relativity at 100: Institute for Advanced Study and Princeton University Celebrate the Enduring Reach, Power and Mysteries of Einstein’s Theory Andrew Strominger - November 5, 2015 https://www.ias.edu/gr100 Albert Einstein’s general theory of relativity, a pillar of modern physi
From playlist General Relativity at 100
Rod Gover - Geometric Compactification, Cartan holonomy, and asymptotics
Conformal compactification has long been recognised as an effective geometric framework for relating conformal geometry, and associated field theories « at infinity », to the asymptotic phenomena of an interior (pseudo‐)‐Riemannian geometry of one higher dimension. It provides an effective
From playlist Ecole d'été 2014 - Analyse asymptotique en relativité générale
Bernd Ammann - Yamabe constants, Yamabe invariants, and Gromov-Lawson surgeries
In this talk I want to study the (conformal) Yamabe constant of a closed Riemannian (resp. conformal) manifold and how it is affected by Gromov-Lawson type surgeries. This yields information about Yamabe invariants and their bordism invariance. So far the talk gives an overview over older
From playlist Not Only Scalar Curvature Seminar
Thibaut Delcroix : Kähler-Einstein metrics on group compactifications
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Algebraic and Complex Geometry
Symmetry in Quantum Gravity by Hirosi Ooguri
DATE: 15 January 2018, 16:00 to 17:30 VENUE: Ramanujan Lecture Hall, ICTS Bangalore General relativity and quantum mechanics were crowning achievements of physics in the 20th century, and their unification has been left as our homework in the 21st century. Superstring theory is our best
From playlist Kavli Asian Winter School (KAWS) on Strings, Particles and Cosmology 2018
Jacob explains the fundamental concepts in group theory of what groups and subgroups are, and highlights a few examples of groups you may already know. Abelian groups are named in honor of Niels Henrik Abel (https://en.wikipedia.org/wiki/Niels_Henrik_Abel), who pioneered the subject of
From playlist Basics: Group Theory
Welcome Day 2021 - Robbert Dijkgraaf
From playlist Public Lectures