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
Abstract Algebra: The definition of a Subgroup
Learn the definition of a subgroup. 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://www.patreon.com/socratica ► Make a one-time PayPal donation: https://www.paypal.me/socr
From playlist Abstract Algebra
Fractal Moonlight Sonata Just more fractals and even more Beethoven. Eventually all these could be put into some sort of playlist. Maybe. Who knows! #Beethoven #Fractal
From playlist Nerdy Rodent Uploads!
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
Phylum Rotifera Part 2: Four Major Clades
Now that we understand the general characteristics of phylum Rotifera, let's dig into some of the clades within this phylum. These would be Bdelloidea, Seisonidea, Monogononta, Acanthocephala. Their relationships and phylogeny are still not firmly known, but let's talk about what we do kno
From playlist Zoology
Phylum Rotifera Part 1: General Characteristics
It's time to wrap up our study of Gnathifera, and this means investigating phylum Rotifera. These are the wheel animals, and we will need a few tutorials to get through them all. Some species are free-living and some are parasitic, and you've probably had some in your body, since they're p
From playlist Zoology
mandelbrot fractal animation 5
another mandelbrot/julia fractal animation/morph.
From playlist Fractal
Abstract Algebra: We define the notion of a subgroup and provide various examples. We also consider cyclic subgroups and subgroups generated by subsets in a given group G. Example include A4 and D8. U.Reddit course materials available at http://ureddit.com/class/23794/intro-to-group-
From playlist Abstract Algebra
Fractional Distillation of Diglyme #Shorts
#Chemistry #Distillation #Vigreaux Column #Shorts #Science
From playlist Rad Chemistry Experiments
Differential Isomorphism and Equivalence of Algebraic Varieties Board at 49:35 Sum_i=1^N 2/(x-phi_i(y,t))^2
From playlist Fall 2017
Gianluca Paolini: Torsion-free Abelian groups are Borel complete
HYBRID EVENT Recorded during the meeting "XVI International Luminy Workshop in Set Theory" the September 14, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicia
From playlist Logic and Foundations
(Optional lecture) - Towards a classification of adelic Galois representations of ell. curves (BU)
This is a lecture I gave at Boston University's Number Theory Seminar, on April 5th, 2021, on adelic Galois representations. While not a part of the graduate course on elliptic curves, it is a nice complement to some of the material we have seen on the Tate module.
From playlist An Introduction to the Arithmetic of Elliptic Curves
An explicit supercuspidal local Langlands correspondence - Tasho Kaletha
Joint IAS/Princeton University Number Theory Seminar Topic: An explicit supercuspidal local Langlands correspondence Speaker: Tasho Kaletha Affiliation: University of Michigan; von Neumann Fellow, School of Mathematics Date: October 29, 2020 For more video please visit http://video.ias.e
From playlist Mathematics
Mazur's program B. - Zureick-Brown - Workshop 2 - CEB T2 2019
David Zureick-Brown (Emory University, Atlanta USA) / 25.06.2019 Mazur's program B. I’ll discuss recent progress on Mazur’s “Program B” – the problem of classifying all possibilities for the “image of Galois” for an elliptic curve over Q (equivalently, classification of all rational poi
From playlist 2019 - T2 - Reinventing rational points
Christoph Winges: Automorphisms of manifolds and the Farrell Jones conjectures
The lecture was held within the framework of the Hausdorff Trimester Program: K-Theory and Related Fields. Building on previous work of Bartels, Lück, Reich and others studying the algebraic K-theory and L-theory of discrete group rings, the validity of the Farrell-Jones Conjecture has be
From playlist HIM Lectures: Trimester Program "K-Theory and Related Fields"
Commensurators of thin Subgroups by Mahan M. J.
PROGRAM SMOOTH AND HOMOGENEOUS DYNAMICS ORGANIZERS: Anish Ghosh, Stefano Luzzatto and Marcelo Viana DATE: 23 September 2019 to 04 October 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Ergodic theory has its origins in the the work of L. Boltzmann on the kinetic theory of gases.
From playlist Smooth And Homogeneous Dynamics
Uri Bader - 1/4 Algebraic Representations of Ergodic Actions
Ergodic Theory is a powerful tool in the study of linear groups. When trying to crystallize its role, emerges the theory of AREAs, that is Algebraic Representations of Ergodic Actions, which provides a categorical framework for various previously studied concepts and methods. Roughly, this
From playlist Uri Bader - Algebraic Representations of Ergodic Actions
Peter PATZT - High dimensional cohomology of SL_n(Z) and its principal congruence subgroups 1
Group cohomology of arithmetic groups is ubiquitous in the study of arithmetic K-theory and algebraic number theory. Rationally, SL_n(Z) and its finite index subgroups don't have cohomology above dimension n choose 2. Using Borel-Serre duality, one has access to the high dimensions. Church
From playlist École d'Été 2022 - Cohomology Geometry and Explicit Number Theory
Representations of finite groups of Lie type (Lecture 1) by Dipendra Prasad
PROGRAM : GROUP ALGEBRAS, REPRESENTATIONS AND COMPUTATION ORGANIZERS: Gurmeet Kaur Bakshi, Manoj Kumar and Pooja Singla DATE: 14 October 2019 to 23 October 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Determining explicit algebraic structures of semisimple group algebras is a fun
From playlist Group Algebras, Representations And Computation
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