In mathematics, the Clebsch diagonal cubic surface, or Klein's icosahedral cubic surface, is a non-singular cubic surface, studied by and , all of whose 27 exceptional linescan be defined over the real numbers. The term Klein's icosahedral surface can refer to either this surface or its blowup at the 10 Eckardt points. (Wikipedia).
MATH331: Riemann Surfaces - part 1
We define what a Riemann Surface is. We show that PP^1 is a Riemann surface an then interpret our crazy looking conditions from a previous video about "holomorphicity at infinity" as coming from the definition of a Riemann Surface.
From playlist The Riemann Sphere
An invitation to higher Teichmüller theory – Anna Wienhard – ICM2018
Geometry Invited Lecture 5.11 An invitation to higher Teichmüller theory Anna Wienhard Abstract: Riemann surfaces are of fundamental importance in many areas of mathematics and theoretical physics. The study of the moduli space of Riemann surfaces of a fixed topological type is intimatel
From playlist Geometry
Clebsch–Gordan Coefficients Explained
In this video, we will talk about Clebsch-Gordan coefficients. We'll discuss their definition, and explain how to use them. Clebsch-Gordan coefficients are named after the German mathematicians Alfred Clebsch and Paul Gordan. The coefficients are defined like this: Clebsch-Gordan coeffici
From playlist Quantum Mechanics, Quantum Field Theory
Here we show a quick way to set up a face in desmos using domain and range restrictions along with sliders. @shaunteaches
From playlist desmos
The (Coarse) Moduli Space of (Complex) Elliptic Curves | The Geometry of SL(2,Z), Section 1.3
We discuss complex elliptic curves, and describe their moduli space. Richard Borcherd's videos: Riemann-Roch Introduction: https://www.youtube.com/watch?v=uRfbnJ2a-Bs&ab_channel=RichardE.BORCHERDS Genus 1 Curves: https://www.youtube.com/watch?v=NDy4J_noKi8&ab_channel=RichardE.BORCHERDS
From playlist The Geometry of SL(2,Z)
Walter Neumann: Lipschitz embedding of complex surfaces
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
An introduction to surfaces | Differential Geometry 21 | NJ Wildberger
We introduce surfaces, which are the main objects of interest in differential geometry. After a brief introduction, we mention the key notion of orientability, and then discuss the division in the subject between algebraic surfaces and parametrized surfaces. It is very important to have a
From playlist Differential Geometry
Condon-Shortley Phase Convention | Clebsch-Gordan Gets Real
In this video, we will explain the Condon-Shortley phase convention. This is a widely used set of two statements, which together lead to the conclusion that all Clebsch-Gordan coefficients are purely real numbers. It's named after the US physicists Edward Condon and George Shortley, who in
From playlist Quantum Mechanics, Quantum Field Theory
Deriving Clebsch–Gordan Coefficients | Angular Momentum in Quantum Mechanics
In this video, we will show you how to explicitly calculate the Clebsch-Gordan coefficients for the simple case of two spin-1/2 particles. Note, that this is purely for fun, or educational purposes, since for a real calculation, you should always look up the relevant coefficient in a table
From playlist Quantum Mechanics, Quantum Field Theory
Wigner–Eckart Theorem | Clebsch-Gordan & Spherical Tensor Operators
In this video, we will explain the Wigner-Eckart theorem in theory and then explicitly show how to use it to solve a problem. This theorem is closely related to Clebsch-Gordan coefficients and spherical tensor operators. 𝗥𝗲𝗳𝗲𝗿𝗲𝗻𝗰𝗲𝘀: [1] Particle Data Group, "The Review of Particle Phy
From playlist Mathematical Physics
More general surfaces | Differential Geometry 22 | NJ Wildberger
This video follows on from DiffGeom21: An Introduction to surfaces, starting with ruled surfaces. These were studied by Euler, and Monge gave examples of how such surfaces arose from the study of curves, namely as polar developables. A developable surface is a particularly important and us
From playlist Differential Geometry
Spherical Tensor Operators | Wigner D-Matrices | Clebsch–Gordan & Wigner–Eckart
In this video, we will explain spherical tensor operators. They are defined like this: A spherical tensor operator T^(k)_q with rank k is a collection of 2k+1 operators that are numbered by the index q, which transform under rotations in the same way as spherical harmonics do. They are als
From playlist Quantum Mechanics, Quantum Field Theory
Visualizing Fluid Flow With Clebsch Maps | Two Minute Papers #170
The paper "Inside Fluids: Clebsch Maps for Visualization and Processing" and its source code are available here: http://multires.caltech.edu/pubs/Clebsch.pdf http://multires.caltech.edu/pubs/ClebschCodes.zip Recommended for you: Schrödinger's Smoke - https://www.youtube.com/watch?v=heY2gf
From playlist Fluid, Cloth and Hair Simulations (Two Minute Papers)
Risi Kondor: "Fourier space neural networks"
Machine Learning for Physics and the Physics of Learning 2019 Workshop IV: Using Physical Insights for Machine Learning "Fourier space neural networks" Risi Kondor - University of Chicago & Flatiron Institute, Computer Science Institute for Pure and Applied Mathematics, UCLA November 1
From playlist Machine Learning for Physics and the Physics of Learning 2019
Cubic surfaces and non-Euclidean geometry - William Goldman
Members’ Colloquium Topic: Cubic surfaces and non-Euclidean geometry Speaker: William Goldman Affiliation: University of Maryland; Member, School of Mathematics Date: January 24, 2022 The classification of geometric structures on manifolds naturally leads to actions of automorphism group
From playlist Mathematics
Tess Smidt: "Euclidean Neural Networks for Emulating Ab Initio Calculations and Generating Atomi..."
Machine Learning for Physics and the Physics of Learning 2019 Workshop I: From Passive to Active: Generative and Reinforcement Learning with Physics "Euclidean Neural Networks* for Emulating Ab Initio Calculations and Generating Atomic Geometries *also called Tensor Field Networks and 3D
From playlist Machine Learning for Physics and the Physics of Learning 2019
Ahlfors-Bers 2014 "Computing the image of Thurston's skinning map"
David Dumas (UIC): Thurston's skinning map is a holomorphic map between Teichmüller spaces that arises in the construction of hyperbolic structures on compact 3-manifolds. I will describe the theory and implementation of a computer program that computes the images of skinning maps in some
From playlist The Ahlfors-Bers Colloquium 2014 at Yale
Surface integrals are kind of like higher-dimensional line integrals, it's just that instead of integrating over a curve C, we are integrating over a surface S. This can be tricky, but it has lots of applications, so let's learn how to do these things! Script by Howard Whittle Watch the
From playlist Mathematics (All Of It)
My Quantum Mechanics Textbooks
Names and Authors of books in order: Quantum Physics Stephen Gasiorowicz Introduction to Quantum Mechanics Griffiths Principles of Quantum Mechanics R. Shankar Modern Quantum Mechanics J.J. Sakurai
From playlist Informative Videos For Physics Majors