Knot invariants | Links (knot theory)
In knot theory, an area of mathematics, the link group of a link is an analog of the knot group of a knot. They were described by John Milnor in his Ph.D. thesis,. Notably, the link group is not in general the fundamental group of the link complement. (Wikipedia).
In this video, you’ll learn how to join groups on LinkedIn. Visit https://edu.gcfglobal.org/en/linkedin/keeping-up-with-linkedin/1/ for our text-based lesson. We hope you enjoy!
From playlist LinkedIn
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
Cyclic Groups (Abstract Algebra)
Cyclic groups are the building blocks of abelian groups. There are finite and infinite cyclic groups. In this video we will define cyclic groups, give a list of all cyclic groups, talk about the name “cyclic,” and see why they are so essential in abstract algebra. Be sure to subscribe s
From playlist Abstract Algebra
Lie Groups and Lie Algebras: Lesson 16 - representations, connectedness, definition of Lie Group
Lie Groups and Lie Algebras: Lesson 16 - representations, connectedness, definition of Lie Group We cover a few concepts in this lecture: 1) we introduce the idea of a matrix representation using our super-simple example of a continuous group, 2) we discuss "connectedness" and explain tha
From playlist Lie Groups and Lie Algebras
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
Group theory 15:Groups of order 12
This lecture is part of an online mathematics course on group theory. It uses the Sylow theorems to classify the groups of order 12, and finds their subgroups.
From playlist Group theory
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
Dihedral Group (Abstract Algebra)
The Dihedral Group is a classic finite group from abstract algebra. It is a non abelian groups (non commutative), and it is the group of symmetries of a regular polygon. This group is easy to work with computationally, and provides a great example of one connection between groups and geo
From playlist Abstract Algebra
Lie Groups and Lie Algebras: Lesson 13 - Continuous Groups defined
Lie Groups and Lie Algebras: Lesson 13 - Continuous Groups defined In this lecture we define a "continuous groups" and show the connection between the algebraic properties of a group with topological properties. Please consider supporting this channel via Patreon: https://www.patreon.co
From playlist Lie Groups and Lie Algebras
Dale Rolfsen: Braids, Orderings and Minimal Volume Cusped Hyperbolic 3-Manifolds
Dale Rolfsen, University of British Columbia Title: Braids, Orderings and Minimal Volume Cusped Hyperbolic 3-Manifolds The orderability properties of fundamental groups of minimal volume cusped hyperbolic 3-manifolds will be explored using the theory of braids and automorphisms of free gro
From playlist 39th Annual Geometric Topology Workshop (Online), June 6-8, 2022
Homological Algebra(Homo Alg) 5 by Graham Ellis
DATE & TIME 05 November 2016 to 14 November 2016 VENUE Ramanujan Lecture Hall, ICTS Bangalore Computational techniques are of great help in dealing with substantial, otherwise intractable examples, possibly leading to further structural insights and the detection of patterns in many abstra
From playlist Group Theory and Computational Methods
CAT(0) cube complexes and group theory (Lecture - 1) by Michah Sageev
Geometry, Groups and Dynamics (GGD) - 2017 DATE: 06 November 2017 to 24 November 2017 VENUE: Ramanujan Lecture Hall, ICTS, Bengaluru The program focuses on geometry, dynamical systems and group actions. Topics are chosen to cover the modern aspects of these areas in which research has b
From playlist Geometry, Groups and Dynamics (GGD) - 2017
IMT2681 - Cloud Computing, 2018 - Linux (2) - Part 02
Room A255
From playlist Archive - Cloud Computing
Manami Roy, Challenges and usefulness of creating a database of groups in LMFDB
VaNTAGe Seminar on Dec 8, 2020 License CC-BY-NC-SA
From playlist ICERM/AGNTC workshop updates
The Quasimorphism Question - Daniel Anthony Cristofaro-Gardiner
Joint IAS/Princeton University Symplectic Geometry Seminar Topic: The Quasimorphism Question Speaker: Daniel Anthony Cristofaro-Gardiner Affiliation: University of Maryland Date: March 14, 2022 I will discuss a recent work constructing quasimorphisms on the group of area and orientation
From playlist Mathematics
Using Canvas for Remote Teaching and Learning
Canvas features a variety of tools to support remote teaching and learning. In this video, I show real examples of how I use custom navigation, announcements, rubrics, discussions, chat, and groups to engage students, foster collaboration, and facilitate both teacher/student and student/st
From playlist Remote Teaching and Learning
High dimensional expanders - Part 2 - Shai Evra
Computer Science/Discrete Mathematics Seminar II Topic: High dimensional expanders - Part 2 Speaker: Shai Evra Affiliation: Princeton University Date: February 16, 2021 For more video please visit http://video.ias.edu
From playlist Mathematics
R5. Overview of Cross-Linking, Including Photo-Reactive Cross-Linking Methods
MIT 5.08J Biological Chemistry II, Spring 2016 View the complete course: https://ocw.mit.edu/5-08JS16 Instructor: Elizabeth Nolan Professor Nolan introduces crosslinking, and presents the different approaches and their strengths and limitations. License: Creative Commons BY-NC-SA More in
From playlist MIT 5.08J Biological Chemistry II, Spring 2016
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
Algebraic topology: Fundamental group of a knot
This lecture is part of an online course on algebraic topology. We calculate the fundamental group of (the complement of) a knot, and give a couple of examples. For the other lectures in the course see https://www.youtube.com/playlist?list=PL8yHsr3EFj52yxQGxQoxwOtjIEtxE2BWx
From playlist Algebraic topology