Superficies Racionales sobre un Cuerpo - AGRA IV Minicourse 2, Lecture 1
Exploración de superficies racionales sobre cuerpos: conceptos fundamentales y aplicaciones en geometría algebraica y teoría de números.
Iterated Beta Integrals - Generalizing Hyperlogarithms and Beta Integrals
Explore iterated beta integrals, generalizing hyperlogarithms and beta integrals. Discover translation invariance property, yielding equalities between special values and resolving conjectures in mathematics.
Asymptotic Behaviour of Rational Curves
Explorez le comportement asymptotique des courbes rationnelles à travers une conférence mathématique approfondie présentée par Loïs Faisant au CIRM.
Arranjos de Retas
Explore arranjos de retas com Jorge Vitório Pereira, pesquisador do IMPA. Descubra conceitos matemáticos avançados e suas aplicações nesta palestra informativa.
Private Frequency Estimation via Projective Geometry
Explore private frequency estimation using projective geometry with insights from Jelani Nelson's conference talk at CIRM.
History of Geometry IV - The Emergence of Higher Dimensions - Sociology and Pure Maths
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.
A Brief History of Geometry III - The 19th Century - Sociology and Pure Mathematics
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.
Trigonometry in Elliptic Geometry II - Universal Hyperbolic Geometry - NJ Wildberger
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.
Trigonometry in Elliptic Geometry - Universal Hyperbolic Geometry
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.
Affine and Projective Geometry, and the Problem of Lines
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.
Seminar- Five-Fold Symmetry, Schiffler Points and the Twisted Icosahedron
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.
The Projective Quadruple Quad Formula - Rational Geometry Math Foundations
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.
The Triple Spread Formula, Circumcircles and Curvature - Rational Geometry Math Foundations
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.
Relativistic Velocity, Core Circles and Paul Miller's Protractor - Rational Geometry
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.
Relativistic Velocity, Core Circles, and Paul Miller's Protractor - Rational Geometry
Explores core circles in rational geometry, connecting projective and Euclidean geometry. Covers parametrization, quadrances, and theorems, bridging abstract concepts with practical applications.
Relativistic Velocity, Core Circles and Paul Miller's Protractor - Rational Geometry
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.
Isometry Groups of the Projective Line III - Rational Geometry Math Foundations
Exploring relativistic geometry in one dimension, extending projective geometry to incorporate Einstein's special theory of relativity and its impact on physics and mathematics.
Isometry Groups of the Projective Line - Rational Geometry Math Foundations
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.
The Projective Triple Quad Formula - Rational Geometry Math Foundations
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.
NJ's Pizza Model for Organizing Geometry - Rational Geometry Math Foundations
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.
Teaching Connections Between Algebra and Geometry I - A MANSW Presentation
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.