In this video, I define a cool operation called the symmetrization, which turns any matrix into a symmetric matrix. Along the way, I also explain how to show that an (abstract) linear transformation is one-to-one and onto. Finally, I show how to decompose and matrix in a nice way, sort of
From playlist Linear Transformations
Linear Algebra 15b: What Makes a Transformation Linear?
https://bit.ly/PavelPatreon https://lem.ma/LA - Linear Algebra on Lemma http://bit.ly/ITCYTNew - Dr. Grinfeld's Tensor Calculus textbook https://lem.ma/prep - Complete SAT Math Prep
From playlist Part 3 Linear Algebra: Linear Transformations
Suppose you have two bases of the same space and the matrix of a linear transformation with respect to one bases. In this video, I show how to find the matrix of the same transformation with respect to the other basis, without ever having to figure out what the linear transformation does!
From playlist Linear Transformations
See the new Star Wars-like display that could revolutionize virtual reality
Forget light sabers. Researchers on Earth have invented something far flashier: a Star Wars–like 3D display that simultaneously projects video, sound, and even the sensation of touch. The new displays can’t create holograms as complex as Princess Leia’s famous distress call. But with furth
From playlist Science Snippets
What is the Lorentz Transformation?
What is the Lorentz Transformation? It is a tool we use to relate the different experiences of different observers in special relativity. It is also one of the defining features of special relativity and what differentiates it from Galilean relativity. In this video, we will derive the Lor
From playlist Relativity
Francesca Balestrieri, The arithmetic of zero-cycles on products of K3 surfaces and Kummer varieties
VaNTAGe seminar, March 9, 2021
From playlist Arithmetic of K3 Surfaces
Showing something is a linear transformation Check out my Linear Equations playlist: https://www.youtube.com/playlist?list=PLJb1qAQIrmmD_u31hoZ1D335sSKMvVQ90 Subscribe to my channel: https://www.youtube.com/channel/UCoOjTxz-u5zU0W38zMkQIFw
From playlist Linear Transformations
Bianca Viray, The Brauer group and the Brauer-Manin obstruction on K3 surfaces
VaNTAGe seminar, February 23, 2021
From playlist Arithmetic of K3 Surfaces
Jean-Pierre Ramis - The Mano Decompositions...
The Mano Decompositions and the Space of Monodromy Data of the q-Painlevé V I Equation The talk is based upon a joint work with Y. OHYAMA and J. SAULOY. Classically the space of Monodromy data (or character variety) of PV I (the sixth Painlevé differential equation) is the space of linear
From playlist Resurgence in Mathematics and Physics
Gregory Sankaran: Moduli of deformation generalised Kummer varieties
Two of the four known types of compact hyperkahler manifolds arise from K3 surfaces and two from abelian surfaces. The moduli spaces of polarised varieties of the K3 types have been extensively studied, but less attention has been paid to the abelian types. I shall describe some work in pr
From playlist HIM Lectures: Junior Trimester Program "Algebraic Geometry"
Anabelian Geometry - Kummer Classes
To functions f we associate cohomology classes. Using galois sections we can evaluate these functions. Recovering the Kummer classes of the jacobi theta function
From playlist Anabelian Geometry
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
2.2.2 What is a linear transformation?
2.2.2 What is a linear transformation?
From playlist LAFF - Week 2
Alessandra Sarti, Old and new on the symmetry groups of K3 surfaces
VaNTAGe Seminar, Feb 9, 2021
From playlist Arithmetic of K3 Surfaces
Nori uniformization of algebraic stacks by Niels Borne
20 March 2017 to 25 March 2017 VENUE: Ramanujan Lecture Hall, ICTS, Bengaluru Complex analytic geometry is a very broad area of mathematics straddling differential geometry, algebraic geometry and analysis. Much of the interactions between mathematics and theoretical physics, especially
From playlist Complex Geometry
Toy Ind3 - Part 04 - Log Kummer Correspondences
We introduce the definition of the Log-Kummer Correspondence. While there is not direct definition we can point to this is used throughout IUT3 and is what gives rise to Ind3. This is actually quite tricky. For example, a Log-Kummer correspondence doesn't exist for tensor packets but is i
From playlist Toy Ind3
Linear Algebra 15c: The Reflection Transformation and Introduction to Eigenvalues
https://bit.ly/PavelPatreon https://lem.ma/LA - Linear Algebra on Lemma http://bit.ly/ITCYTNew - Dr. Grinfeld's Tensor Calculus textbook https://lem.ma/prep - Complete SAT Math Prep
From playlist Part 3 Linear Algebra: Linear Transformations
Galois theory: Kummer extensions
This lecture is part of an online graduate course on Galois theory. We describe Galois extensions with cyclic Galois group of order n in the case when the base field contains all n'th roots of unity and has characteristic not dividing n. We show that all such extensions are radical. As an
From playlist Galois theory
From playlist Transformations of the Number Line