Algebraic Fields: Transcendence Degree

Related lectures (27)

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Covers affine algebraic sets, hypersurfaces, elliptic curves, ideals, and Noetherian rings in algebraic geometry.

Covers matrix calculations, basis change, field extensions, complex numbers modulus, and polar decomposition.

Explores Schur's lemma and its applications in representations of an associative algebra over an algebraically closed field.

Explores the intersection of sets, defining it and discussing its properties.

Explores the Riemann zeta function, its properties, applications, and analogies in number theory and algebraic geometry.

Explores ideals with finite sets of points and Hilberts Nullstellensatz in algebraic fields.

Explores the properties and applications of finite fields, including isomorphism and cyclic properties.

Covers the basics of analysis, including proofs, sets, rational and real numbers, and the concept of infimum.

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

Covers the concept of forms in algebraic geometry and the implications of constructing Bloch(A) from glued copies of A.