Algebraic varieties

Homogeneous variety

In algebraic geometry, a homogeneous variety is an algebraic variety of the form G/P, G a linear algebraic group, P a parabolic subgroup. It is a smooth projective variety. If P is a Borel subgroup, it is usually called a flag variety. (Wikipedia).

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What is an isosceles triangle

πŸ‘‰ Learn the essential definitions of triangles. A triangle is a polygon with three sides. Triangles are classified on the basis of their angles or on the basis of their side lengths. The classification of triangles on the bases of their angles are: acute, right and obtuse triangles. The cl

From playlist Types of Triangles and Their Properties

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What is an acute triangle

πŸ‘‰ Learn the essential definitions of triangles. A triangle is a polygon with three sides. Triangles are classified on the basis of their angles or on the basis of their side lengths. The classification of triangles on the bases of their angles are: acute, right and obtuse triangles. The cl

From playlist Types of Triangles and Their Properties

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What are the names of different types of polygons based on the number of sides

πŸ‘‰ Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which at least one of its interior angles is greater than 1

From playlist Classify Polygons

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What is the difference between convex and concave

πŸ‘‰ Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which at least one of its interior angles is greater than 1

From playlist Classify Polygons

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What is an obtuse triangle

πŸ‘‰ Learn the essential definitions of triangles. A triangle is a polygon with three sides. Triangles are classified on the basis of their angles or on the basis of their side lengths. The classification of triangles on the bases of their angles are: acute, right and obtuse triangles. The cl

From playlist Types of Triangles and Their Properties

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What is a line bisector

πŸ‘‰ Learn the essential definitions of triangles. A triangle is a polygon with three sides. Triangles are classified on the basis of their angles or on the basis of their side lengths. The classification of triangles on the bases of their angles are: acute, right and obtuse triangles. The cl

From playlist Types of Triangles and Their Properties

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What is a right triangle

πŸ‘‰ Learn the essential definitions of triangles. A triangle is a polygon with three sides. Triangles are classified on the basis of their angles or on the basis of their side lengths. The classification of triangles on the bases of their angles are: acute, right and obtuse triangles. The cl

From playlist Types of Triangles and Their Properties

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Determining two angles that are supplementary

πŸ‘‰ Learn how to define and classify different angles based on their characteristics and relationships are given a diagram. The different types of angles that we will discuss will be acute, obtuse, right, adjacent, vertical, supplementary, complementary, and linear pair. The relationships

From playlist Angle Relationships From a Figure

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What are four types of polygons

πŸ‘‰ Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which at least one of its interior angles is greater than 1

From playlist Classify Polygons

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Rigidity and Flexibility of Schubert classes - Colleen Robles

Colleen Robles Texas A & M University; Member, School of Mathematics January 27, 2014 Consider a rational homogeneous variety X. The Schubert classes of X form a free additive basis of the integral homology of X. Given a Schubert class S in X, Borel and Haefliger asked: aside from the Schu

From playlist Mathematics

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Clelia Pech: Curve neighbourhoods for odd symplectic Grassmannians

CIRM VIRTUAL CONFERENCE Odd symplectic Grassmannians are a family of quasi-homogeneous varieties with properties nevertheless similar to those of homogeneous spaces, such as the existence of a Schubert-type cohomology basis. In this talk based on joint work with Ryan Shifler, I will expl

From playlist Virtual Conference

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Amos Nevo: Representation theory, effective ergodic theorems, and applications - Lecture 4

Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b

From playlist Dynamical Systems and Ordinary Differential Equations

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Nonlinear algebra, Lecture 2: "Algebraic Varieties", by Mateusz MichaΕ‚ek

This is the second lecture in the IMPRS Ringvorlesung, the advanced graduate course at the Max Planck Institute for Mathematics in the Sciences. In this lecture, Mateusz Michalek describes the main characters in algebraic geometry: algebraic varieties.

From playlist IMPRS Ringvorlesung - Introduction to Nonlinear Algebra

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algebraic geometry 17 Affine and projective varieties

This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It covers the relation between affine and projective varieties, with some examples such as a cubic curve and the twisted cubic.

From playlist Algebraic geometry I: Varieties

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Intrinsic Diophantine approximation (Lecture 2) by Amos Nevo

PROGRAM SMOOTH AND HOMOGENEOUS DYNAMICS ORGANIZERS: Anish Ghosh, Stefano Luzzatto and Marcelo Viana DATE: 23 September 2019 to 04 October 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Ergodic theory has its origins in the the work of L. Boltzmann on the kinetic theory of gases.

From playlist Smooth And Homogeneous Dynamics

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Benedict Gross: Rational points on hyperelliptic curves [2016]

Rational points on hyperelliptic curves Speaker: Benedict Gross, Harvard University Date and Time: Tuesday, November 1, 2016 - 10:00am to 11:00am Location: Fields Institute, Room 230 Abstract: One of Manjul Bhargava's most surprising results in arithmetic geometry is his proof that mos

From playlist Mathematics

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BAG2.2. Projective Toric Varieties - Part 2

Basic Algebraic Geometry: Continuing from the previous video, we give several equivalent conditions for when the cone over the projective toric variety X_A is equal to the affine toric variety Y_A.

From playlist Basic Algebraic Geometry

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Abstraction - Seminar 2 - Resolution I, blowing up

This seminar series is on the relations among Natural Abstraction, Renormalisation and Resolution. This week Daniel Murfet gives an introduction to blowing up an affine algebraic variety at a point. The webpage for this seminar is https://metauni.org/abstraction/ You can join this semina

From playlist Abstraction

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Structure of homogeneous spaces and applications to (...) - Demarche - Workshop 1 - CEB T2 2019

Cyril Demarche (IMJ-PRG, Sorbonne UniversitΓ©) / 21.05.2019 Structure of homogeneous spaces and applications to local- global principles (joint work with Giancarlo Lucchini-Arteche) We study the structure of homoge- neous spaces of linear algebraic groups over perfect fields and prove a

From playlist 2019 - T2 - Reinventing rational points

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What is a scalene triangle

πŸ‘‰ Learn the essential definitions of triangles. A triangle is a polygon with three sides. Triangles are classified on the basis of their angles or on the basis of their side lengths. The classification of triangles on the bases of their angles are: acute, right and obtuse triangles. The cl

From playlist Types of Triangles and Their Properties

Related pages

Symmetric space | Homogeneous space | Linear algebraic group | Projective variety | Algebraic variety | Symmetric variety