This video contains the origins of group theory, the formal definition, and theoretical and real-world examples for those beginning in group theory or wanting a refresher :)
From playlist Summer of Math Exposition Youtube Videos
This is lecture 1 of an online mathematics course on group theory. This lecture defines groups and gives a few examples of them.
From playlist Group theory
Group theory 25: The transfer homomorphism
This video is part of an online mathematics course on group theory. It describes the transfer homomorphism between groups, and uses it to classify groups of order 30 and to show that the order of any simple group must be divisible by the square of some prime.
From playlist Group theory
This is lecture 3 of an online mathematics course on group theory. It gives a review of homomorphisms and isomorphisms and gives some examples of these.
From playlist Group theory
Transference is a very useful word from psychoanalysis which describes the process whereby we react to situations in the present according to a pattern laid down in the past, usually in childhood. Getting to know our own particular transferences is part of becoming a sane adult. If you lik
From playlist RELATIONSHIPS
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
This is lecture 5 of an online mathematics course on group theory. It classifies groups of order 4 and gives several examples of products of groups.
From playlist Group theory
This lecture is part of an online math course on group theory. We review free abelian groups, then construct free (non-abelian) groups, and show that they are given by the set of reduced words, and as a bonus find that they are residually finite.
From playlist Group theory
Problems in the theory of automorphic forms: 45 years later - Robert Langlands
Topic: Problems in the theory of automorphic forms: 45 years later Part I Speaker: Robert Langlands Date: 2014
From playlist Mathematics
Robert Langlands, Problems in the theory of automorphic forms: 45 years later (1/3) [2014]
For an Oxford conference last week, (https://www.maths.nottingham.ac.uk/personal/ibf/files/S&C-schedule.html) Langlands contributed a one-hour video talk, filmed in his office. One hour was not enough, so hours two and three are also available, as well as a separate text 9https://publicati
From playlist Number Theory
Endoscopic Transfer of Depth-Zero Suprcuspidal L-Packets - Tasho Kaletha
Endoscopic Transfer of Depth-Zero Suprcuspidal L-Packets - Tasho Kaletha Princeton University; Member, School of Mathematics November 18, 2010 In a recent paper, DeBacker and Reeder have constructed a piece of the local Langlands correspondence for pure inner forms of unramified p-adic gr
From playlist Mathematics
Difference Between Normalizer, Centralizer, and Stabilizer
An easy way to remember what is the normalizer and centralizer of a subgroup, and what is the stabilizer of an element under a group action. For people learning abstract algebra! Group Theory playlist: https://youtube.com/playlist?list=PLug5ZIRrShJHDvvls4OtoBHi6cNnTZ6a6 Subscribe to see
From playlist Group Theory
Benedikt Ahrens - Le principe d'univalence: le transfer du raisonnement à traver les equivalence
Le raisonnement à équivalence près est omniprésent en mathématique, et les mathématiciens le font implicitement. Pour les mathématiques sur ordinateurs, ce n'est pas si simple : il faut donner tous les détails éxplicitement. C'est pour cela que Voevodsky a créé les fondements univalents, a
From playlist Workshop Schlumberger 2022 : types dépendants et formalisation des mathématiques
Mike Hill - Real and Hyperreal Equivariant and Motivic Computations
Foundational work of Hu—Kriz and Dugger showed that for Real spectra, we can often compute as easily as non-equivariantly. The general equivariant slice filtration was developed to show how this philosophy extends from 𝐶2-equivariant homotopy to larger cyclic 2-groups, and this has some fa
From playlist Summer School 2020: Motivic, Equivariant and Non-commutative Homotopy Theory
Chris Godsil: Problems with continuous quantum walks
Continuous quantum walks are of great interest in quantum computing and, over the last decade, my group has been studying this topic intensively. As graph theorists, one of our main goals has been to get a better understanding of the relation between the properties of a walk and the proper
From playlist Combinatorics
Supercuspidal L-packets - Tasho Kaletha
Tasho Kaletha Member, School of Mathematics March 21, 2011 For more videos, visit http://video.ias.edu
From playlist Mathematics
Wein-Wei Li: Full stable trace formula for the group Mp(2n)
CIRM VIRTUAL EVENT Recorded during the meeting "Relative Aspects of the Langlands Program, L-Functions and Beyond Endoscopy the May 24, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Luca Récanzone Find this video and other talks given by w
From playlist Virtual Conference
Vaughan F. R. Jones: On the semicontinuous limit of quantum spin chains
Vaughan F. R. Jones: On the semicontinuous limit of quantum spin chains Abstract: In an attempt to produce a conformal field theory associated with any subfactor/fusion category we have constructed a Hilbert space corresponding to a scale invariant quantum spin chain on the dyadic rationa
From playlist HIM Lectures: Trimester Program "Von Neumann Algebras"
Group theory 2: Cayley's theorem
This is lecture 2 of an online mathematics course on group theory. It describes Cayley's theorem that every abstract group is the group of symmetries of something, and as examples shows the Cayley graphs of the Klein 4-group and the symmetric group on 3 points.
From playlist Group theory