This is an informal talk on sporadic groups given to the Archimedeans (the Cambridge undergraduate mathematical society). It discusses the classification of finite simple groups and some of the sporadic groups, and finishes by briefly describing monstrous moonshine. For other Archimedeans
From playlist Math talks
The Thompson Gun: From Gangland Weapon to Military Icon
The Thompson submachine gun, also known as the "Tommy Gun," is a historical firearm with an interesting and lengthy history. John T. Thompson created it in the early 1900s with the intention of using it for military purposes, but it quickly gained popularity among law enforcement and civil
From playlist Combat Tech
Mark Sapir: On subgroups of the R. Thompson group F
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 Algebra
Simple Groups - Abstract Algebra
Simple groups are the building blocks of finite groups. After decades of hard work, mathematicians have finally classified all finite simple groups. Today we talk about why simple groups are so important, and then cover the four main classes of simple groups: cyclic groups of prime order
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
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
Morphine & Heroin - Periodic Table of Videos
Morphine and heroin are among the strongest painkillers known to science. More links in description below ↓↓↓ Support Periodic Videos on Patreon: https://www.patreon.com/periodicvideos A video on every element: http://bit.ly/118elements More at http://www.periodicvideos.com/ Follow us
From playlist Molecular Videos - Periodic Videos
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
The Abel Prize announcement 2008 - John Thompson and Jacques Tits
0:00 Welcome by chair of the Mathematics group in The Norwegian Academy of Science and Letters, Tom Lyche 1:45 The Abel Prize announced by Ole Didrik Lærum, President of The Norwegian Academy of Science and Letters 2:41 Citation by Kristian Seip, Chair of the Abel committee 8:18 Professor
From playlist John Griggs Thompson
Marcus du Sautoy: Symmetry explained
Marcus Peter Francis du Sautoy is a British mathematician, author, and populariser of science and mathematics. You can view more content of Marcus du Sautoy here: https://www.youtube.com/channel/UCYF21Xc9fSdqVWRxpBAOleQ/featured This video is a clip from the Abel Prize Announcement 2008.
From playlist Popular presentations
John Thompson and Jacques Tits - The Abel Prize interview 2008
0:21 Interest in and contributions to mathematics in childhood / early youth 3:56 Group theory and Niels Henrik Abel 5:46 Why simple groups are important for classification for finite groups in general - Decomposition theorem 6:52 Group theory: Peter Ludwig Mejdell Sylow and Sophus Lie 7:2
From playlist John Griggs Thompson
Can't you just feel the Moonshine? - Ken Ono (Emory University) [2017]
Stony Brook Mathematics Colloquium Video Can't you just feel the Moonshine? Ken Ono, Emory University March 30, 2017 http://www.math.stonybrook.edu/Videos/Colloquium/video.php?f=20170330-Ono
From playlist Number Theory
This is an expository talk on the monstrous moonshine conjectures about the monster simple group in mathematics.
From playlist Math talks
A quick definition of groups on the periodic table. Chem Fairy: Louise McCartney Director: Michael Harrison Written and Produced by Kimberly Hatch Harrison ♦♦♦♦♦♦♦♦♦♦ Ways to support our channel: ► Join our Patreon : https://www.patreon.com/socratica ► Make a one-time PayPal donation
From playlist Chemistry glossary
GT23. Composition and Classification
Abstract Algebra: We use composition series as another technique for studying finite groups, which leads to the notion of solvable groups and puts the focus on simple groups. From there, we survey the classification of finite simple groups and the Monster group.
From playlist Abstract Algebra
Math talk: Sporadic groups and number theory
This talk was the introduction to the Berkeley graduate number theory discussion seminar on 2020-10-28, and the aim was to explain why number theorists might be interested in sporadic simple groups. We give a brief summary of monstrous moonshine relating sporadic groups to modular functi
From playlist Math talks
Representation Theory(Repn Th) 2 by Gerhard Hiss
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
Arsenic - Periodic Table of Videos
A brand new video on the element Arsenic. More links and info in full description ↓↓↓ Featuring Sir Martyn Poliakoff and Neil Barnes. Arsenic life: https://youtu.be/rQ8jHM8QhU8 With thanks to the AP Archive. Support us on Patreon: https://www.patreon.com/periodicvideos More chemis
From playlist All Chemical Elements in Order - Periodic Videos
Michel Broué: Building Cathedrals and breaking down Reinforced Concrete Walls
This lecture was held at The University of Oslo, May 21, 2008 and was part of the Abel Prize Lectures in connection with the Abel Prize Week celebrations. Program for the Abel Lectures 2008 1. Abel Laureate John Thompson: “Dirichlet series and SL(2,Z)" 2. Abel Laureate Jacques Tits: “Alg
From playlist Abel Lectures