Introduction to Projective Geometry (Part 1)
The first video in a series on projective geometry. We discuss the motivation for studying projective planes, and list the axioms of affine planes.
From playlist Introduction to Projective Geometry
The circle and projective homogeneous coordinates | Universal Hyperbolic Geometry 7a | NJ Wildberger
Universal hyperbolic geometry is based on projective geometry. This video introduces this important subject, which these days is sadly absent from most undergrad/college curriculums. We adopt the 19th century view of a projective space as the space of one-dimensional subspaces of an affine
From playlist Universal Hyperbolic Geometry
Elliptic curves: point at infinity in the projective plane
This video depicts point addition and doubling on elliptic curve in simple Weierstrass form in the projective plane depicted using stereographic projection where the point at infinity can actually be seen. Explanation is in the accompanying article https://trustica.cz/2018/04/05/elliptic-
From playlist Elliptic Curves - Number Theory and Applications
The circle and projective homogeneous coordinates (cont.) | Universal Hyperbolic Geometry 7b
Universal hyperbolic geometry is based on projective geometry. This video introduces this important subject, which these days is sadly absent from most undergrad/college curriculums. We adopt the 19th century view of a projective space as the space of one-dimensional subspaces of an affine
From playlist Universal Hyperbolic Geometry
algebraic geometry 15 Projective space
This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It introduces projective space and describes the synthetic and analytic approaches to projective geometry
From playlist Algebraic geometry I: Varieties
The projective Quadruple quad formula | Rational Geometry Math Foundations 148 | NJ Wildberger
In this video we introduce the projective version of the Quadruple quad formula, which not only controls the relationship between four projective points, but has a surprising connection with the geometry of the cyclic quadrilateral. The projective quadruple quad function is called R(a,b,
From playlist Math Foundations
Algebraic structure on the Euclidean projective line | Rational Geometry Math Foundations 137
In this video we look at some pleasant consequences of imposing a Euclidean structure on the projective line. We give a proof of the fundamental projective Triple quad formula, talk about the equal p-quadrances theorem, and see how the logistic map of chaos theory makes its appearance as t
From playlist Math Foundations
Projective Coordinates for Points and Lines | Algebraic Calculus One | Wild Egg and Anna Tomskova
Dr Anna Tomskova explains a more modern framework for projective geometry where the extra coordinate often associated with infinity is the first coordinate in a projective vector. This gives us a uniform way to associate to affine points and lines projective points and lines, with the adva
From playlist Algebraic Calculus One
Cristina Câmara: Truncated Toeplitz operators
Abstract: Toeplitz matrices and operators constitute one of the most important and widely studied classes of non-self-adjoint operators. In this talk we consider truncated Toeplitz operators, a natural generalisation of finite Toeplitz matrices. They appear in various contexts, such as the
From playlist Analysis and its Applications
Geometric Techniques in Knot Theory - Jessica S. Purcell
Jessica S. Purcell Brigham Young University; von Neumann Fellow, School of Mathematics October 20, 2015 https://www.math.ias.edu/seminars/abstract?event=83224 We will discuss methods of decomposing knot and link complements into polyhedra. Using hyperbolic geometry, angled structures, a
From playlist Geometric Structures on 3-manifolds
Introduction to Projective Geometry (Part 2)
The second video in a series about projective geometry. We list the axioms for projective planes, give an examle of a projective plane with finitely many points, and define the real projective plane.
From playlist Introduction to Projective Geometry
Nuria Fagella: Meromorphic maps of finite type: parameter space
HYBRID EVENT Recorded during the meeting "Advancing Bridges in Complex Dynamics" the September 22, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Luca Récanzone Find this video and other talks given by worldwide mathematicians on CIRM's Audi
From playlist Dynamical Systems and Ordinary Differential Equations
Simone WARZEL - Mathematical challenges and results related to fractional quantum systems
https://ams-ems-smf2022.inviteo.fr/
From playlist International Meeting 2022 AMS-EMS-SMF
Rose Kaplan-Kelly: Right-angled Links in Thickened Surfaces
Rose Kaplan-Kelly, Temple University Title: Right-angled Links in Thickened Surfaces Traditionally, alternating links are studied with alternating diagrams on $S^2$ in $S^3$. In this talk, we will consider links which are alternating on higher genus surfaces $S_g$ in $S_g \times I$. We wil
From playlist 39th Annual Geometric Topology Workshop (Online), June 6-8, 2022
Peter Benner: Matrix Equations and Model Reduction, Lecture 5
Peter Benner from the Max Planck Institute presents: Matrix Equations and Model Reduction; Lecture 5
From playlist Gene Golub SIAM Summer School Videos
Mioara Joldes: Validated symbolic-numerci algorithms and practical applications in aerospace
In various fields, ranging from aerospace engineering or robotics to computer-assisted mathematical proofs, fast and precise computations are essential. Validated (sometimes called rigorous as well) computing is a relatively recent field, developed in the last 20 years, which uses numerica
From playlist Probability and Statistics
Jacob Shapiro: "Two-Dimensional Time-Reversal-Invariant Topological Insulators via Fredholm Theory"
Theory and Computation for 2D Materials "Two-Dimensional Time-Reversal-Invariant Topological Insulators via Fredholm Theory" Jacob Shapiro, Princeton University Abstract: We study spinful non-interacting electrons moving in two-dimensional materials which exhibit a spectral gap about the
From playlist Theory and Computation for 2D Materials 2020
Francois Gygi - Generating Reference Data and Controlling Accuracy in DFT and Hybrid DFT Simulations
Recorded 03 May 2022. Francois Gygi of University of California, Davis, Computer Science, presents "Generating Reference Data and Controlling Accuracy in DFT and Hybrid DFT Simulations" at IPAM's Large-Scale Certified Numerical Methods in Quantum Mechanics Workshop. Abstract: Density Funct
From playlist 2022 Large-Scale Certified Numerical Methods in Quantum Mechanics
Arithmetic Fake Compact Hermitian Symmetric Spaces - Gopal Prasad
Gopal Prasad University of Michigan February 16, 2012 A fake projective plane is a smooth complex projective algebraic surface whose Betti numbers are same as those of the complex projective plane but which is not the complex projective plane. The first fake projective plane was constructe
From playlist Mathematics