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 actions in abstract algebra
In this first video on group actions, I use an example of some previous work on the symmetric group to give you some intuition about group actions. Beware when reading your textbook. It is probably unnecessary difficult just due to the dot notation that is used when describing group acti
From playlist Abstract algebra
What is a Group Action? : A Group as a Category and The Skeleton Operation ☠
This week I try to take a more Categorical approach to answering and expanding upon the question of "what is a group action". Along the way I'll go over thinking about a group as a category and eventually hit on the skeleton operation on a category and use it to present an example of the c
From playlist The New CHALKboard
Abstract Algebra: Motivation for the definition of a group
The definition of a group is very abstract. We motivate this definition with a simple, concrete example from basic algebra. Be sure to subscribe so you don't miss new lessons from Socratica: http://bit.ly/1ixuu9W ♦♦♦♦♦♦♦♦♦♦ Ways to support our channel: ► Join our Patreon : https:/
From playlist Abstract Algebra
Abstract Algebra: Group actions are defined as a formal mechanism that describes symmetries of a set X. A given group action defines an equivalence relation, which in turn yields a partition of X into orbits. Orbits are also described as cosets of the group. U.Reddit course materials a
From playlist Abstract Algebra
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)
Group automorphisms in abstract algebra
Group automorphisms are bijective mappings of a group onto itself. In this tutorial I define group automorphisms and introduce the fact that a set of such automorphisms can exist. This set is proven to be a subgroup of the symmetric group. You can learn more about Mathematica on my Udem
From playlist Abstract algebra
Visual Group Theory, Lecture 5.1: Groups acting on sets
Visual Group Theory, Lecture 5.1: Groups acting on sets When we first learned about groups as collections of actions, there was a subtle but important difference between actions and configurations. This is the tip of the iceberg of a more general and powerful concept of a group action. Ma
From playlist Visual Group Theory
Now that we have defined and understand quotient groups, we need to look at product groups. In this video I define the product of two groups as well as the group operation, proving that it is indeed a group.
From playlist Abstract algebra
Potential automorphy of Ĝ-local systems – Jack Thorne – ICM2018
Number Theory Invited Lecture 3.12 Potential automorphy of Ĝ-local systems Jack Thorne Abstract: Vincent Lafforgue has recently made a spectacular breakthrough in the setting of the global Langlands correspondence for global fields of positive characteristic, by constructing the ‘automor
From playlist Number Theory
Michael Drmota: (Logarithmic) densities for automatic sequences along primes and squares
CIRM VIRTUAL CONFERENCE Recorded during the meeting " Diophantine Problems, Determinism and Randomness" the November 23, 2020 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide
From playlist Virtual Conference
Henryk Iwaniec, Spectral Theory of Automorphic Forms and Analytic Number Theory [2001]
Slides for this talk: https://drive.google.com/file/d/1EDyLbE9Aqk_61njU26gbYoHoR93aetAq/view?usp=sharing Henryk Iwaniec (Rutgers Univ) Spectral Theory of Automorphic Forms and Analytic Number Theory WEDNESDAY, APRIL 4, 2001 11:00 - 12:00 Conference on Automorphic Forms: Concepts, Te
From playlist Number Theory
𝑝-adic variation of automorphic sheaves – A. Iovita & F. Andreatta & V. Pilloni – ICM2018
Number Theory Invited Lecture 3.3 𝑝-adic variation of automorphic sheaves Adrian Iovita & Fabrizio Andreatta & Vincent Pilloni Abstract: We review the construction of analytic families of Siegel modular cuspforms based on the notion of overconvergent modular forms of 𝑝-adic weight. We th
From playlist Number Theory
Examples of non-positively curved groups III - Kim Ruane
Women and Mathematics Title: Examples of non-positively curved groups III Speaker: Kim Ruane Affiliation: Tufts University Date: May 25, 2017 For more videos, please visit http://video.ias.edu
From playlist Mathematics
DEFCON 20: Owned in 60 Seconds: From Network Guest to Windows Domain Admin
Speaker: ZACK FASEL Their systems were fully patched, their security team watching, and the amateur pentesters just delivered their "compliant" report. They thought their Windows domain was secure. They thought wrong. Zack Fasel (played by none other than Angelina Jolie) brings a New Too
From playlist DEFCON 20
Automation Anywhere IQ Bots | IQ Bots - Automation Anywhere | Automation Anywhere Training | Edureka
** Automation Anywhere Training: https://www.edureka.co/automation-anywhere-certification-training ** This Edureka video on Automation Anywhere IQ Bots will cover the following topics: Introduction To Automation Anywhere 1:10 Introduction To Automation Anywhere 3: 00 Types of Bots 4:30 W
From playlist Automation Anywhere Tutorials | Edureka
DEFCON 20: Owned in 60 Seconds: From Network Guest to Windows Domain Admin
Speaker: ZACK FASEL Their systems were fully patched, their security team watching, and the amateur pentesters just delivered their "compliant" report. They thought their Windows domain was secure. They thought wrong. Zack Fasel (played by none other than Angelina Jolie) brings a New Too
From playlist DEFCON 20
Solvable descent for cuspidal automorphic representations of GL(n)’ - Laurent Clozel
Workshop on Motives, Galois Representations and Cohomology Around the Langlands Program Topic: Solvable descent for cuspidal automorphic representations of GL(n)’ Speaker: Laurent Clozel Affiliation: Yale University; Member, School of Mathematics Date: November 10, 2017 For more videos,
From playlist Mathematics
Abstract Algebra: The definition of a Group
Learn the definition of a group - one of the most fundamental ideas from abstract algebra. If you found this video helpful, please give it a "thumbs up" and share it with your friends! To see more videos on Abstract Algebra, please watch our playlist: https://www.youtube.com/watch?v=Qudb
From playlist Abstract Algebra
Ralf Meyer Symmetries in non commutative geometry 4
The lecture was held within the framework of the Hausdorff Trimester Program Non-commutative Geometry and its Applications. 11.9.2014
From playlist HIM Lectures: Trimester Program "Non-commutative Geometry and its Applications"