Algebraic geometry

Fake projective space

In mathematics, a fake projective space is a complex algebraic variety that has the same Betti numbers as some projective space, but is not isomorphic to it. There are exactly 50 fake projective planes. found four examples of fake projective 4-folds, and showed that no arithmetic examples exist in dimensions other than 2 and 4. (Wikipedia).

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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

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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

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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

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​Donald Cartwright : ​Construction of lattices defining fake projective planes - lecture 1

Recording during the meeting "Ball Quotient Surfaces and Lattices " the February 25, 2019 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Ma

From playlist Algebraic and Complex Geometry

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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

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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

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An Intuitive Introduction to Projective Geometry Using Linear Algebra

This is an area of math that I've wanted to talk about for a long time, especially since I have found how projective geometry can be used to formulate Euclidean, spherical, and hyperbolic geometries, and a possible (and hopefully plausible) way projective geometry (specifically the model t

From playlist Summer of Math Exposition 2 videos

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Fake projective planes by JongHae Keum

PROGRAM ZARISKI-DENSE SUBGROUPS AND NUMBER-THEORETIC TECHNIQUES IN LIE GROUPS AND GEOMETRY (ONLINE) ORGANIZERS: Gopal Prasad, Andrei Rapinchuk, B. Sury and Aleksy Tralle DATE: 30 July 2020 VENUE: Online Unfortunately, the program was cancelled due to the COVID-19 situation but it will

From playlist Zariski-dense Subgroups and Number-theoretic Techniques in Lie Groups and Geometry (Online)

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From playlist Machine Learning Algorithms in Python (With Demo) | Edureka

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The Projective Perspective of Perspective Projection

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From playlist Summer of Math Exposition Youtube Videos

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From playlist Generative Adversarial Networks

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From playlist Complete List of Members-Only Videos

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From playlist Ethereum Q&A

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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

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Materials Project Seminars – Taylor Sparks, "Materials informatics: Moving beyond screening [...]"

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From playlist Materials Informatics

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From playlist Machine Learning Lectures | Simplilearn [2022 Updated]

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From playlist 🔥Machine Learning | Machine Learning Tutorial For Beginners | Machine Learning Projects | Simplilearn | Updated Machine Learning Playlist 2023

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Hidden Dimensions: Exploring Hyperspace

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From playlist Science

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David Krejčiřík: Spectrum of the Möbius strip: true, fake and not-so-fake

CIRM VIRTUAL EVENT Recorded during the meeting "Shape Optimization, Spectral Geometry and Calculus of Variations" the March 30, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worl

From playlist Virtual Conference

Related pages

Fake projective plane | Projective space | Betti number | Algebraic variety