Simple groups, Lie groups, and the search for symmetry I | Math History | NJ Wildberger
During the 19th century, group theory shifted from its origins in number theory and the theory of equations to describing symmetry in geometry. In this video we talk about the history of the search for simple groups, the role of symmetry in tesselations, both Euclidean, spherical and hyper
From playlist MathHistory: A course in the History of Mathematics
Cohomology of Arithmetic Groups and Endoscopy - Mathlide Gerbelli-Gauthier
Short Talks by Postdoctoral Members Cohomology of Arithmetic Groups and Endoscopy Mathlide Gerbelli-Gauthier Member, School of Mathematics Date: January 28, 2021 For more video please visit http://video.ias.edu
From playlist Mathematics
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
Simple groups, Lie groups, and the search for symmetry II | Math History | NJ Wildberger
This is the second video in this lecture on simple groups, Lie groups and manifestations of symmetry. During the 19th century, the role of groups shifted from its origin in number theory and the theory of equations to its role in describing symmetry in geometry. In this video we talk abou
From playlist MathHistory: A course in the History of Mathematics
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
The idea of a quotient group follows easily from cosets and Lagrange's theorem. In this video, we start with a normal subgroup and develop the idea of a quotient group, by viewing each coset (together with the normal subgroup) as individual mathematical objects in a set. This set, under
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
Frédéric Barbaresco : Sympletic and Poly-Sypectic Model of Souriau Lie-Groups Thermodynamics : ...
Recording during the thematic meeting : "Geometrical and Topological Structures of Information" the August 30, 2017 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent
From playlist Geometry
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
Univers Convergents 2020 - Séance 1/6 - Les derniers jours du monde
Les derniers jours du monde de Arnaud et Jean Marie Larrieu (France - 2009 - 2h10) Séance du 28 janvier 2020 Un débat en présence de : Arnaud et Jean-Marie Larrieu - Réalisateurs Cécilia Calheiros - Sociologue Rodolphe Turpault - Mathématicien Résumé : La fin du monde est imminente. Ro
From playlist Ciné-Club Univers Convergents
Gerald Dunne: Quantum geometry and resurgent perturbative/nonperturbative relations
Abstract: Certain quantum spectral problems have the remarkable property that the formal perturbative series for the energy spectrum can be used to generate all other terms in the entire trans-series, in a completely constructive manner. I explain a geometric all-orders WKB approach to the
From playlist Mathematical Physics
Alessandra Sarti, Old and new on the symmetry groups of K3 surfaces
VaNTAGe Seminar, Feb 9, 2021
From playlist Arithmetic of K3 Surfaces
Nicolas Rougerie - Bose gases at positive temperature and non-linear Gibbs measures
Nicolas Rougerie (ENS de Lyon) Bose gases at positive temperature and non-linear Gibbs measures. I shall discuss a certain mean-field limit for the positive temperature equilibria (Gibbs states) of the interacting Bose gas. This serves as a toy model for the understanding of the phase tr
From playlist Large-scale limits of interacting particle systems
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
Univers Convergents 2019 - Séance 6/6 - Assassination Nation
Assassination Nation de Sam Levinson (USA - 2018 - 1h48) Séance du 25 juin 2019 Un débat en présence de : Francis Bach, Chercheur en mathématiques et informatique, INRIA Matthieu Bouthors, Président de l’association HZV (Hackerzvoice) et de la Nuit des Hackeurs Résumé : Lily et ses tro
From playlist Ciné-Club Univers Convergents
Exotic patterns in Faraday waves by Laurette Tuckerman (Sorbonne University, France)
ICTS Special Colloquium Title: Exotic patterns in Faraday waves Speaker: Laurette Tuckerman (Sorbonne University, France) Date & Time: Thu, 20 February 2020, 11:30 to 13:00 Venue: Emmy Noether Seminar Room, ICTS Campus, Bangalore Abstract: For the Faraday instability, by which stand
From playlist ICTS Colloquia
Mathieu Henri: Monster Audio-Visual demos in a TCP packet | JSConf EU 2014
Whole new worlds come into life when the creative coding and technical madness of the Demoscene meet the breadth of optimization techniques of the web platform. In this talk we will step back from our day job, twist best practices, abuse JavaScript and web browsers, use good old smoke and
From playlist JSConf EU 2014
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
Anne TAORMINA - Mathieu Moonshine: Symmetry Surfing and Quarter BPS States at the Kummer Point
The elliptic genus of K3 surfaces encrypts an intriguing connection between the sporadic group Mathieu 24 and non-linear sigma models on K3, dubbed “Mathieu Moonshine”. By restricting to Kummer K3 surfaces, which may be constructed as Z2 orbifolds of complex 2-tori with blown up singularit
From playlist Integrability, Anomalies and Quantum Field Theory
Group Theory II Symmetry Groups
Why are groups so popular? Well, in part it is because of their ability to characterise symmetries. This makes them a powerful tool in physics, where symmetry underlies our whole understanding of the fundamental forces. In this introduction to group theory, I explain the symmetry group of
From playlist Foundational Math