Representation theory of groups | Group theory
In mathematics, given a group G, a G-module is an abelian group M on which G acts compatibly with the abelian group structure on M. This widely applicable notion generalizes that of a representation of G. Group (co)homology provides an important set of tools for studying general G-modules. The term G-module is also used for the more general notion of an R-module on which G acts linearly (i.e. as a group of R-module automorphisms). (Wikipedia).
A review of the notes common to all formations of a G chord.
From playlist Music Lessons
Drinfeld Module Basics - part 01
This is a very elementary introduction to Drinfeld Modules. We just give the definitions. My wife helped me with this. Any mistakes I make are my fault.
From playlist Drinfeld Modules
Chapter 4 - Solving Linear Equations with Technology - IB Math Studies (Math SL)
Hello and welcome to What The Math. This is a Chapter 4 video about linear equations and using GDC to solve various linear functions. This is a part of Chapter 4 from Harris Publication version of IB math book by Haese.
From playlist IB Math Studies Chapter 4
From general etale (phi, Gamma)-modules to representations of G(Q_p) - Marie-France Vigneras
Marie-France Vigneras Institut de Mathematiques de Jussieu March 24, 2011 For more videos, visit http://video.ias.edu
From playlist Mathematics
AWESOME Bicycle wheel gyroscope (science experiments)
Physics (la physique)(science experiments)
From playlist MECHANICS
In this video we'll build something cool with Gyroids. A Gyroid is a minimal surface: a surface that minimizes its area for a given boundary. Minimal surfaces appear in nature as well, soap bubbles for minimal surfaces for example. The cool thing about Gyroids is that their distance functi
From playlist Shader Coding
Modular Forms | Modular Forms; Section 1 2
We define modular forms, and borrow an idea from representation theory to construct some examples. My Twitter: https://twitter.com/KristapsBalodi3 Fourier Theory (0:00) Definition of Modular Forms (8:02) In Search of Modularity (11:38) The Eisenstein Series (18:25)
From playlist Modular Forms
If you are interested in learning more about this topic, please visit http://www.gcflearnfree.org/ to view the entire tutorial on our website. It includes instructional text, informational graphics, examples, and even interactives for you to practice and apply what you've learned.
From playlist CRISPR
Geometric Algebra - Rotors and Quaternions
In this video, we will take note of the even subalgebra of G(3), see that it is isomorphic to the quaternions and, in particular, the set of rotors, themselves in the even subalgebra, correspond to the set of unit quaternions. This brings the entire subject of quaternions under the heading
From playlist Math
Commutative algebra 8 (Noetherian modules)
This lecture is part of an online course on commutative algebra, following the book "Commutative algebra with a view toward algebraic geometry" by David Eisenbud. In this lecture we define Noetherian modules over a ring, and use the to prove Noether's theorem that the agerba of invariants
From playlist Commutative algebra
Kazhdan-Lusztig category - Jin-Cheng Guu
Quantum Groups Seminar Topic: Kazhdan-Lusztig category Speaker: Jin-Cheng Guu Affiliation: Stony Brook University Date: May 06, 2021 For more video please visit http://video.ias.edu
From playlist Quantum Groups Seminar
Ilya Dumanski - Schubert varieties in the Beilinson-Drinfeld Grassmannian
Ilya Dumanski (MIT) The Borel-Weil theorem states that the space of sections of a certain line bundle on the flag variety is isomorphic to the irreducible representation of the corresponding reductive group. The classical result of Demazure describes the restriction of sections to the Sch
From playlist Azat Miftakhov Days Against the War
Rings 12 Duality and injective modules
This lecture is part of an online course on rings and modules. We descibe some notions of duality for modules generalizing the dual of a vector space. We first discuss duality for free and projective modules, which is very siilar to the vector space case. Then we discuss duality for finit
From playlist Rings and modules
Geordie Williamson: Langlands and Bezrukavnikov II Lecture 17
SMRI Seminar Series: 'Langlands correspondence and Bezrukavnikov’s equivalence' Geordie Williamson (University of Sydney) Abstract: The second part of the course focuses on affine Hecke algebras and their categorifications. Last year I discussed the local Langlands correspondence in bro
From playlist Geordie Williamson: Langlands correspondence and Bezrukavnikov’s equivalence
An introduction to group (and Galois) cohomology (part 1)
This is part 1 of an introduction to group (and Galois) cohomology, with a particular emphasis on the applications to the cohomology of fields, and elliptic curves.
From playlist An Introduction to the Arithmetic of Elliptic Curves
David Ben-Zvi: Geometric Langlands correspondence and topological field theory - Part 2
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 Algebraic and Complex Geometry
Sam Gunningham: Character stacks and (q−)geometric representation theory
Abstract: I will discuss applications of geometric representation theory to topological and quantum invariants of character stacks. In particular, I will explain how generalized Springer correspondence for class D-modules and Koszul duality for Hecke categories encode surprising structure
From playlist Algebraic and Complex Geometry
If you are interested in learning more about this topic, please visit http://www.gcflearnfree.org/ to view the entire tutorial on our website. It includes instructional text, informational graphics, examples, and even interactives for you to practice and apply what you've learned.
From playlist Graphic Design