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ICTP Mathematics

Superficies Racionales sobre un Cuerpo - AGRA IV Minicourse 2, Lecture 1

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Exploración de superficies racionales sobre cuerpos: conceptos fundamentales y aplicaciones en geometría algebraica y teoría de números.
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1 Lesons
1 hour 5 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Iterated Beta Integrals - Generalizing Hyperlogarithms and Beta Integrals

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Explore iterated beta integrals, generalizing hyperlogarithms and beta integrals. Discover translation invariance property, yielding equalities between special values and resolving conjectures in mathematics.
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1 Lesons
55 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Asymptotic Behaviour of Rational Curves

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Explorez le comportement asymptotique des courbes rationnelles à travers une conférence mathématique approfondie présentée par Loïs Faisant au CIRM.
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1 Lesons
42 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Arranjos de Retas

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Explore arranjos de retas com Jorge Vitório Pereira, pesquisador do IMPA. Descubra conceitos matemáticos avançados e suas aplicações nesta palestra informativa.
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1 Lesons
17 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Private Frequency Estimation via Projective Geometry

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Explore private frequency estimation using projective geometry with insights from Jelani Nelson's conference talk at CIRM.
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1 Lesons
49 minutes
On-Demand
Free-Video
Insights into Mathematics

History of Geometry IV - The Emergence of Higher Dimensions - Sociology and Pure Maths

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Explore the emergence of higher dimensions in 19th-century geometry, including projective geometry, cyclography, and spaces of lines and curves, revolutionizing our understanding of mathematical spaces.
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7 Lesons
33 minutes
On-Demand
Free-Video
Insights into Mathematics

A Brief History of Geometry III - The 19th Century - Sociology and Pure Mathematics

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Explore the golden age of geometry in the 19th century, covering inversive, projective, non-Euclidean, and complex geometries. Understand key developments and their impact on modern mathematics.
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7 Lesons
53 minutes
On-Demand
Free-Video
Insights into Mathematics

Trigonometry in Elliptic Geometry II - Universal Hyperbolic Geometry - NJ Wildberger

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Explore elliptic trigonometry laws, including Spread, Cross, and Dual cross, using linear algebra. Learn proofs for Thales', Pythagoras', and Triple Quad formulas in elliptic geometry.
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7 Lesons
41 minutes
On-Demand
Free-Video
Insights into Mathematics

Trigonometry in Elliptic Geometry - Universal Hyperbolic Geometry

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Explore elliptic geometry's trigonometry, including projective points, quadrances, and spreads. Learn key laws connecting triangles and their polar counterparts in this fundamental mathematical realm.
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6 Lesons
42 minutes
On-Demand
Free-Video
Insights into Mathematics

Affine and Projective Geometry, and the Problem of Lines

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Explore affine and projective geometry, focusing on points, vector spaces, and lines in 2D. Learn to solve geometric problems using projective coordinates and understand curve representation.
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9 Lesons
51 minutes
On-Demand
Free-Video
Insights into Mathematics

Seminar- Five-Fold Symmetry, Schiffler Points and the Twisted Icosahedron

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Explore five-fold symmetry, Schiffler points, and the twisted icosahedron in this advanced geometry seminar. Delve into projective and triangle geometry, dihedral orderings, and remarkable conics arising from five points in the plane.
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6 Lesons
52 minutes
On-Demand
Free-Video
Insights into Mathematics

The Projective Quadruple Quad Formula - Rational Geometry Math Foundations

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Explore the projective Quadruple quad formula and its connection to cyclic quadrilateral geometry, advancing beyond classical trigonometry to a more powerful approach applicable to general fields.
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7 Lesons
31 minutes
On-Demand
Free-Video
Insights into Mathematics

The Triple Spread Formula, Circumcircles and Curvature - Rational Geometry Math Foundations

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Explores the Triple spread formula in Rational Trigonometry, relating it to circumcircles and curvature. Connects projective geometry with one and two-dimensional geometries through core circles and quadratic curvature.
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8 Lesons
24 minutes
On-Demand
Free-Video
Insights into Mathematics

Relativistic Velocity, Core Circles and Paul Miller's Protractor - Rational Geometry

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Exploring Paul Miller's protractor for efficient spread measurement in projective geometry, linking projective and affine measurements through core circles and the Triple quad formula.
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5 Lesons
39 minutes
On-Demand
Free-Video
Insights into Mathematics

Relativistic Velocity, Core Circles, and Paul Miller's Protractor - Rational Geometry

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Explores core circles in rational geometry, connecting projective and Euclidean geometry. Covers parametrization, quadrances, and theorems, bridging abstract concepts with practical applications.
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8 Lesons
39 minutes
On-Demand
Free-Video
Insights into Mathematics

Relativistic Velocity, Core Circles and Paul Miller's Protractor - Rational Geometry

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Explore core circles in rational geometry, connecting projective and Euclidean concepts. Learn about relativistic velocity addition and its implications for Einstein's special theory of relativity.
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7 Lesons
33 minutes
On-Demand
Free-Video
Insights into Mathematics

Isometry Groups of the Projective Line III - Rational Geometry Math Foundations

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Exploring relativistic geometry in one dimension, extending projective geometry to incorporate Einstein's special theory of relativity and its impact on physics and mathematics.
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8 Lesons
31 minutes
On-Demand
Free-Video
Insights into Mathematics

Isometry Groups of the Projective Line - Rational Geometry Math Foundations

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Exploring finite field geometry: isometries, rotations, and reflections on the projective line, revealing connections to relativistic geometry and offering a new perspective on Euclidean concepts.
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8 Lesons
35 minutes
On-Demand
Free-Video
Insights into Mathematics

The Projective Triple Quad Formula - Rational Geometry Math Foundations

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Explores the projective Triple Quad Formula in rational geometry, relating three projective quadrances formed by projective 1-points. Highlights similarities to the Triple spread formula and its mathematical significance.
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9 Lesons
26 minutes
On-Demand
Free-Video
Insights into Mathematics

NJ's Pizza Model for Organizing Geometry - Rational Geometry Math Foundations

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Explore a systematic approach to organizing metrical geometry using a pizza-making analogy. Learn about various geometries, their interconnections, and key concepts in this comprehensive overview.
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10 Lesons
39 minutes
On-Demand
Free-Video
Insights into Mathematics

Teaching Connections Between Algebra and Geometry I - A MANSW Presentation

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Exploring connections between algebra and geometry, covering topics like Euclidean algorithm, continued fractions, and projective geometry. Aims to revitalize interest in geometry as a core subject for students.
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17 Lesons
32 minutes
On-Demand
Free-Video
Insights into Mathematics

The Triple Quad Formula in Universal Hyperbolic Geometry

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Explores the Triple quad formula in hyperbolic geometry, its proof, and related concepts. Compares with Euclidean geometry and discusses algebraic challenges, providing exercises for deeper understanding.
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9 Lesons
39 minutes
On-Demand
Free-Video
Insights into Mathematics

Quadrance and Spread - Universal Hyperbolic Geometry

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Introduces algebraic definitions of quadrance and spread in Universal Hyperbolic Geometry, comparing with Rational Trigonometry and exploring main laws and exercises in this advanced mathematical framework.
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8 Lesons
36 minutes
On-Demand
Free-Video
Insights into Mathematics

Extending Arithmetic to Infinity - Real Numbers and Limits Math Foundations

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Explore extending arithmetic to infinity using rational numbers and projective geometry. Learn about integral points, theorems, and distributive laws in this mathematical journey.
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10 Lesons
32 minutes
On-Demand
Free-Video
Insights into Mathematics

Elementary Projective Geometry - Elementary Mathematics Explained

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Explore elementary projective geometry, focusing on line geometry and basic concepts like joins, meets, and quadrangles. Learn through hands-on constructions and discover fascinating correspondences in geometry.
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6 Lesons
36 minutes
On-Demand
Free-Video
Insights into Mathematics

Pappus and Pascal - Elementary Mathematics Explained

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Explore Pappus' and Pascal's theorems in projective geometry, learning key concepts and historical context. Gain insights into reading mathematics and appreciating these fundamental results.
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5 Lesons
33 minutes
On-Demand
Free-Video
Insights into Mathematics

Projective Geometry - Math History - NJ Wildberger

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Explore the origins and development of projective geometry, from Pappus to Desargues and Pascal, and its fundamental role in mathematics and 3D space understanding.
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7 Lesons
1 hour 10 minutes
On-Demand
Free-Video
Insights into Mathematics

Analytic Geometry and the Continuum - Math History - NJ Wildberger

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Explores Cartesian geometry's development, merging numbers and geometry, and discusses issues with the continuum, irrational numbers, and decimal expansions, including pi's continued fraction approximations.
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5 Lesons
25 minutes
On-Demand
Free-Video
Insights into Mathematics

Analytic Geometry and the Continuum - Math History - NJ Wildberger

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Explore Cartesian geometry's development, merging numbers and geometry. Delve into conics, cubics, Bezout's theorem, and the continuum, discussing ancient Greek influences and challenges with irrational numbers and pi.
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11 Lesons
57 minutes
On-Demand
Free-Video
Insights into Mathematics

First Steps in Hyperbolic Geometry - Universal Hyperbolic Geometry

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Explore fundamental concepts of universal hyperbolic geometry, including perpendicularity, quadrance, spread, and key theorems, with a focus on projective study of circles and relativistic geometry.
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9 Lesons
37 minutes
On-Demand
Free-Video
Insights into Mathematics

Apollonius and Polarity - Universal Hyperbolic Geometry

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Explore Apollonius' polarity concept in hyperbolic geometry, focusing on the crucial role of circles and their relationship to points and lines in the projective plane.
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8 Lesons
41 minutes
On-Demand
Free-Video
Insights into Mathematics

Universal Hyperbolic Geometry - NJ Wildberger

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Discover a revolutionary approach to hyperbolic geometry, simplifying complex concepts using high school algebra and projective geometry, with connections to Einstein's special relativity theory.
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9 Lesons
23 minutes
On-Demand
Free-Video
Insights into Mathematics

Homeomorphism and the Group Structure on a Circle - Algebraic Topology 2 - NJ Wildberger

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Explore homeomorphisms, group structures on circles, and projective geometry in this algebraic topology lecture, blending fundamental concepts with novel approaches and historical insights.
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10 Lesons
52 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Perspectives in Math and Art by Supurna Sinha

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Explore the fascinating intersection of mathematics and art during the European Renaissance, focusing on Projective Geometry and its impact on artistic representation and mathematical development.
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1 Lesons
1 hour 7 minutes
On-Demand
Free-Video
IMSA

Hyperbolicity in Presence of a Large Local System

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Explore hyperbolicity in complex algebraic varieties with Yohan Brunebarbe. Learn about Green-Griffiths and Lang conjectures, and their validity for varieties with large complex local systems.
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1 Lesons
55 minutes
On-Demand
Free-Video
ICTP Mathematics

Superficies Racionales sobre un Cuerpo - AGRA IV Minicourse 2, Lecture 2

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Explora superficies racionales sobre cuerpos, profundizando en conceptos avanzados de geometría algebraica y teoría de números con expertos internacionales.
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1 Lesons
55 minutes
On-Demand
Free-Video
Insights into Mathematics

The Circle and Projective Homogeneous Coordinates - Universal Hyperbolic Geometry Lecture 7a

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Introduction to projective geometry and its relation to universal hyperbolic geometry, exploring concepts like affine spaces, perspective, and one-dimensional projective geometry.
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1 Lesons
38 minutes
On-Demand
Free-Video
Insights into Mathematics

The Circle and Projective Homogeneous Coordinates in Universal Hyperbolic Geometry - Lecture 7b

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Explores projective geometry as the foundation of universal hyperbolic geometry, focusing on the circle in projective homogeneous coordinates and its significance in mathematics and physics.
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1 Lesons
24 minutes
On-Demand
Free-Video
Insights into Mathematics

Pappus' Theorem and Cross Ratio in Projective Geometry - Universal Hyperbolic Geometry 3

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Explore Pappus' theorem, cross ratio, and key projective geometry concepts. Learn about invariance, transformations, and applications in hyperbolic geometry through theorems and exercises.
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10 Lesons
22 minutes
On-Demand
Free-Video
Insights into Mathematics

A Brief History of Geometry II: The European Epoch - From Cartesian to Differential Geometry

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Explore the European evolution of geometry, from Cartesian to differential, highlighting key developments and their impact on mathematics. Gain insights into this fundamental discipline's historical significance.
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6 Lesons
23 minutes
On-Demand
Free-Video
Insights into Mathematics

Sphere Geometry and Complex Analysis - Algebraic Topology Lecture 4

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Explore advanced concepts in sphere geometry, including inversive geometry, Riemann sphere, complex analysis, and projective lines, enhancing understanding of algebraic topology.
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8 Lesons
41 minutes
On-Demand
Free-Video
Insights into Mathematics

Teaching Connections Between Algebra and Geometry - Part 2

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Exploring connections between algebra and geometry, including Cartesian geometry, conics, projective geometry, triangle geometry, and rational trigonometry for a fresh approach to math education.
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1 Lesons
30 minutes
On-Demand
Free-Video
Insights into Mathematics

Relativistic Velocity and Core Circles in Rational Geometry - Lecture 4

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Exploring relativistic velocity and core circles in rational geometry, extending Paul Miller's protractor concept to projective quadrance and comparing Euclidean and relativistic geometries.
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6 Lesons
49 minutes
On-Demand
Free-Video
Insights into Mathematics

Isometry Groups of the Projective Line - Rational Geometry Math Foundations 138

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Explore isometry groups of the projective line, focusing on rotations and reflections. Learn about symmetry, group theory, and their algebraic relationships in a concrete, accessible way.
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7 Lesons
34 minutes
On-Demand
Free-Video
Insights into Mathematics

Algebraic Structure on the Euclidean Projective Line - Rational Geometry Math Foundations 137

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Explores algebraic structure on the Euclidean projective line, covering projective formulas, isometries, rotations, and their compositions. Connects to chaos theory and complex number multiplication.
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9 Lesons
41 minutes
On-Demand
Free-Video
Insights into Mathematics

The Projective Line, Circles and the CQQ Theorem - Part 2

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Explores advanced geometry concepts including general circles, complex numbers, and the Cyclic Quadrilateral Quadrea theorem, emphasizing projective parametrization and transformations in the complex plane.
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9 Lesons
37 minutes
On-Demand
Free-Video
Insights into Mathematics

Mathematical Space and Basic Duality in Geometry - Rational Geometry Math Foundations 122

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Exploring fundamental concepts of mathematical space, including the duality between affine and projective views, Cartesian geometry, and the relationship between affine and projective lines.
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1 Lesons
33 minutes
On-Demand
Free-Video
Insights into Mathematics

Complex Numbers and Curves in 19th Century Mathematics

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Explore complex numbers, algebraic curves, and their intersection with projective geometry and topology. Discover how these concepts revolutionized 19th-century mathematics and laid the foundation for modern algebraic geometry.
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1 Lesons
58 minutes
On-Demand
Free-Video
Insights into Mathematics

The Rational Number Line and Irrationalities - Famous Math Problems 19b

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Geometric approach to modeling the continuum using the rational number line. Explores properties, projective view, and introduces irrationalities through Euclidean geometry and polynomial equations.
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7 Lesons
38 minutes
On-Demand
Free-Video
Insights into Mathematics

More General Surfaces in Differential Geometry - Lecture 22

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Explores advanced surface types in differential geometry, including ruled and developable surfaces, minimal surfaces, algebraic surfaces, and projective constructions, with historical context and mathematical insights.
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11 Lesons
53 minutes
On-Demand
Free-Video
Insights into Mathematics

Curvature for the General Parabola - Differential Geometry Lecture 13

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Explores curvature of general parabolas using projective geometry, focus-directrix definition, and local behavior. Introduces formulas for parabola curvature as a foundation for understanding curvature of general curves.
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1 Lesons
48 minutes
On-Demand
Free-Video
Insights into Mathematics

Duality, Polarity and Projective Linear Algebra in Differential Geometry - Lecture 10

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Explore projective geometry's impact on differential geometry, focusing on conics, projective linear algebra, and duality between points and lines in the projective plane.
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9 Lesons
37 minutes
On-Demand
Free-Video
Insights into Mathematics

Duality, Polarity and Projective Linear Algebra - Differential Geometry Lecture 11

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Explores projective geometry, quadratic forms, and pole-polar duality in relation to the unit circle. Connects these concepts to Lorentz/Einstein/Minkowski geometry and Apollonius' work.
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1 Lesons
48 minutes
On-Demand
Free-Video
Insights into Mathematics

Projective View of Conics and Quadrics - Differential Geometry Lecture 9

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Explore projective geometry's application to conics and quadrics, using homogeneous coordinates to unify the study of algebraic curves and surfaces in plane and space.
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1 Lesons
39 minutes
On-Demand
Free-Video
Insights into Mathematics

Extended Rational Numbers in Practice - Real Numbers and Limits

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Explore extended rational numbers, their applications in mathematics, and connections to projective geometry. Gain insights into graphing polynomials, parametrizing circles, and visualizing infinity in novel ways.
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9 Lesons
39 minutes
On-Demand
Free-Video
Insights into Mathematics

Rational Number Arithmetic with Infinity - Extended Rational Numbers and Limits

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Explore arithmetic operations on integral points, extended rational numbers, and the intriguing concept of 0/0. Gain insights into projective geometry and homogeneous coordinates in this mathematical journey.
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10 Lesons
37 minutes
On-Demand
Free-Video
Insights into Mathematics

The Perspective Image of a Square - Number Theoretic Approach - Lecture 18d

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Explores the number theoretic aspects of perspective images of squares, including algebraic solutions, quadratic equations, and harmonic ranges, with applications to spheres and algebraic theorems.
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6 Lesons
27 minutes
On-Demand
Free-Video
Insights into Mathematics

Perspective Image of a Square - More Projective Geometry - Lecture 18b

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Explore advanced projective geometry concepts, including perspective images, vanishing points, and Desargues' theorem, with applications in 2D and 3D space.
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7 Lesons
29 minutes
On-Demand
Free-Video
Insights into Mathematics

The Perspective Image of a Square - Famous Math Problems 18a

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Explore projective geometry concepts like quadrilaterals, quadrangles, duality, and cross ratios in relation to perspective images of squares. Novel approach using planar vector cross products.
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1 Lesons
33 minutes
On-Demand
Free-Video
Insights into Mathematics

Extending Archimedes' Parabolic Area Formula to Cubics - Algebraic Calculus

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Extending Archimedes' parabolic area formula to cubics using Algebraic Calculus and projective geometry. Explores unique aspects of cubic functions and their areas without relying on infinite processes.
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8 Lesons
42 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Incidences and Dimers in Projective Geometry - Statistical Mechanics and Discrete Geometry

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Explore the connection between linear incidence theorems in projective geometry and bipartite graphs on surfaces, incorporating dimer model dynamics to derive dynamic linear incidence theorems.
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1 Lesons
48 minutes
On-Demand
Free-Video
Wolfram

Mathematical Games - Episode 14: Hexagrammum Mysticum

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Explore mathematical games and puzzles involving hexagrammum mysticum with Ed Pegg Jr. in this engaging 48-minute episode.
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1 Lesons
48 minutes
On-Demand
Free-Video
NCCR SwissMAP

Algebraic Geometry and Pythagorean Triples

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Explore algebraic geometry through Pythagorean triples, bridging classical mathematics with modern perspectives for a broad audience.
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1 Lesons
46 minutes
On-Demand
Free-Video
NPTEL-NOC IITM

Perspectivities are Well Defined - Video 7C

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Explore the concept of well-defined perspectivities in mathematics with Prof. Vijay Ravikumar, delving into their properties and applications in geometric transformations.
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1 Lesons
18 minutes
On-Demand
Free-Video
NPTEL-NOC IITM

Perspectivities: The Maps That Shift Perspective - Video 7A

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Explore perspectivities and their role in shifting geometric perspectives, enhancing understanding of mathematical transformations and spatial relationships.
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1 Lesons
11 minutes
On-Demand
Free-Video
Centrum Fizyki Teoretycznej PAN

Symmetries, Conservation Laws and Variational Principles - Part III

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Explore symmetries, conservation laws, and variational principles in mathematics, focusing on Noether Theorems and their applications in various geometric structures and physical systems.
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10 Lesons
1 hour 15 minutes
On-Demand
Free-Video
Centrum Fizyki Teoretycznej PAN

Symmetries, Conservation Laws and Variational Principles - Part II

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Explore advanced mathematics of Noether Theorems in calculus of variations, covering symmetries, conservation laws, and variational principles. Gain insights into differential geometric structures and their applications.
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1 Lesons
1 hour 6 minutes
On-Demand
Free-Video
Centrum Fizyki Teoretycznej PAN

Symmetries, Conservation Laws and Variational Principles

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Explore symmetries, conservation laws, and variational principles in mathematics, focusing on Noether Theorems and their applications in calculus of variations and differential geometry.
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1 Lesons
54 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Divisible Convex Sets with Properly Embedded Cones

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Explore divisible convex sets, their theory, and new examples in projective geometry. Delve into connections with dynamical systems, geometric group theory, and Riemannian geometry.
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9 Lesons
1 hour 5 minutes
On-Demand
Free-Video
Stony Brook Mathematics

Billiards in Conics Revisited

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Explore optical properties of conics, billiard reflections, and geometric consequences. Delve into classic results, Ivory's lemma, Poncelet Porism, and related theorems in projective geometry.
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1 Lesons
1 hour 7 minutes
On-Demand
Free-Video
BIMSA

Duality Between the Pseudoeffective and the Movable Cone on a Projective Manifold

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Explore duality between pseudoeffective and movable cones on projective manifolds, including recent developments and connections to non-Archimedean Calabi-Yau theorem.
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1 Lesons
52 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Higher Dimensional Fano Varieties - Lecture 4

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Explore higher dimensional Fano varieties in algebraic geometry. Delve into advanced concepts and recent developments in this field with expert insights from UCLA researcher Joaquín Moraga.
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1 Lesons
1 hour 34 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Higher Dimensional Fano Varieties - Lecture 1

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Explore higher dimensional Fano varieties in this advanced algebraic geometry lecture. Delve into complex mathematical concepts and theories presented by expert Joaquín Moraga from UCLA.
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1 Lesons
1 hour 24 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Foliation Theory and Algebraic Geometry

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Explore degrees of foliation space components via P1xP1 pullbacks. Dive into advanced algebraic geometry and holomorphic foliation theory with expert Viviana Ferrer.
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1 Lesons
34 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Cox Rings of Algebraic Surfaces

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Explore Cox rings of algebraic surfaces in this panoramic talk by Michela Artebani, part of the V Latin American School of Algebraic Geometry. Gain insights into advanced algebraic geometry concepts.
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1 Lesons
47 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Asymptotic Structures at Timelike Infinity from Projective Geometry

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Explore asymptotic structures at timelike infinity using projective geometry in this advanced physics lecture by Jack Borthwick.
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1 Lesons
43 minutes
On-Demand
Free-Video
Models of Consciousness Conferences

Towards a Mathematical Theory of Pre-Reflective Self-Consciousness: From Metamathematics to the Projective Consciousness Model

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Explore mathematical approaches to modeling pre-reflective self-consciousness, examining theories from metamathematics to projective geometry and their implications for understanding subjective experience.
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1 Lesons
22 minutes
On-Demand
Free-Video
Models of Consciousness Conferences

Integrating Multimodal Sensory Information through the Projective Consciousness Model - A Framework for Spatial Perception and Action Planning

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Explore how the Projective Consciousness Model explains multimodal sensory integration, spatial perception, and action planning through 3D projective geometry and embodied cognition principles.
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1 Lesons
23 minutes
On-Demand
Free-Video
NPTEL-NOC IITM

Two-View Stereo: Algebraic Representation of Epipolar Geometry - Lecture 3

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Explore algebraic representation of epipolar geometry and homogeneous representation of points and lines in two-view stereo.
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1 Lesons
13 minutes
On-Demand
Free-Video
Isaac Newton Institute for Mathematical Sciences

From the Origins of Twistor Theory to Bi-Twistors and Curved Space-Times

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Explore the origins and evolution of twistor theory, from its quantum field theory roots to applications in curved space-times, with Professor Roger Penrose.
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1 Lesons
1 hour 13 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Billiards in Conics Revisited - Optical Properties and Geometric Consequences

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Explore optical properties of conics, billiard reflections, and geometric consequences. Delve into classic results, Ivory's lemma, Poncelet Porism, and related theorems in projective geometry.
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1 Lesons
1 hour 11 minutes
On-Demand
Free-Video
Centrum Fizyki Teoretycznej PAN

Geometry of Quantum Correlations

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Explore the geometric description of quantum correlations using symplectic and algebraic tools. Gain insights into quantum entanglement and its unique features distinguishing quantum from classical systems.
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1 Lesons
1 hour 14 minutes
On-Demand
Free-Video
Centrum Fizyki Teoretycznej PAN

Geometry of Quantum Correlations - Part II

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Explore quantum correlations using symplectic and algebraic geometry. Delve into entanglement, nonlocal properties, and the Einstein-Podolsky-Rosen analysis of quantum theory completeness.
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1 Lesons
1 hour 15 minutes
On-Demand
Free-Video