Algebraic Geometry

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Related lectures (34)

Polynomials: Theory and Operations Log in to Mediaspace to watch this video

Covers the theory and operations related to polynomials, including ideals, minimal polynomials, irreducibility, and factorization.

Linear Combinations and Vector Spaces Log in to Mediaspace to watch this video

Introduces linear combinations in vector spaces, operations, and polynomials of degree 2.

Polynomials: Operations and Properties Log in to Mediaspace to watch this video

Explores polynomial operations, properties, and subspaces in vector spaces.

Algebraic Geometry: Rings and Bodies Log in to Mediaspace to watch this video

Explores algebraic geometry, focusing on rings, bodies, quotient rings, and irreducible polynomials.

Linear Algebra: Abstract Concepts Log in to Mediaspace to watch this video

Introduces abstract concepts in linear algebra, focusing on operations with vectors and matrices.

Polynomials on a Field: Basics and Operations Log in to Mediaspace to watch this video

Introduces the basics of polynomials on a field, focusing on definitions, operations, and properties.

Vector Spaces: Properties and Operations Log in to Mediaspace to watch this video

Covers the properties and operations of vector spaces, including addition and scalar multiplication.

Vector Spaces: Examples and Subspaces Log in to Mediaspace to watch this video

Covers examples of vector spaces and the concept of subspaces, emphasizing key properties and verification methods.

Ample Invertible Sheaves Log in to Mediaspace to watch this video

Introduces ample invertible sheaves and their properties in algebraic geometry.

Polynomial Rings and Irreducibility Criteria Log in to Mediaspace to watch this video

Covers polynomial rings, irreducibility criteria, and algebraic structures in fields.

Ramified Extensions: Eisenstein Polynomials Log in to Mediaspace to watch this video

Explores ramified extensions and Eisenstein polynomials, showcasing their applications in mathematical contexts.

Vector Space Polynomial: Parameter b Log in to Mediaspace to watch this video

Explores the polynomial q(t) = bt - 1² in a vector space context.

Dimension theory of rings Log in to Mediaspace to watch this video

Covers the dimension theory of rings, including additivity of dimension and height, Krull's Hauptidealsatz, and the height of general complete intersections.

Mechanics: Introduction and Calculus Log in to Mediaspace to watch this video

Introduces mechanics, differential and vector calculus, and historical perspectives from Aristotle to Newton.

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