P-adic Expansion: Unique Representations and Power Series

Related lectures (30)

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Covers the GAGA principle, stating that any morphism on projective varieties is constant.

Covers defining morphisms between affine algebraic varieties and constructing morphisms using algebraic homomorphisms.

Covers the uniqueness of norm extension in finite fields and the construction of norms on finite extensions of Qp.

Explores group homomorphisms, isomorphisms, and generators in abstract algebra.

Explores Laurent series, regularity, singularities, and residues in complex analysis.

Provides a recap of group theory, defining a group as a set with a multiplication operation.

Covers direct sums of abelian groups, group actions, and vector spaces, including coproducts and homomorphisms.

Covers sequences, series, subsequence, convergence, open and closed sets in mathematics.

Covers the Chinese remainder theorem for commutative rings and integers, polynomial rings, and Euclidean domains.

Explores transcendence degree in algebraic fields and classical analytic functions.