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Related lectures (29)
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Finite Element Method: Quadratic Elements
Explores the precision of finite element models and higher order asymptotic estimates.
Embeddings of Number Fields
Explores embeddings of number fields, types, signatures, lattices, and determinants.
The Class Number Formula: Counting and Lipschitz Principle
Covers the Class Number Formula and a counting problem related to the lattice and Lipschitz principle.
Ramification Theory: Residual Fields and Discriminant Ideal
Explores ramification theory, residual fields, and discriminant ideals in algebraic number theory.
Algebra: Fundamental Theorem
Covers a general introduction and discusses algebra, emphasizing the importance of unique factorization in algebraic structures.
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Residue Fields and Quadratic Forms
Explores residue fields, quadratic forms, discriminants, and Dedekind recipes in algebraic number theory.
Ramification Theory: Dedekind Recipe
Explores ramification theory, residue fields, Galois extensions, and decomposition groups in algebraic number theory.
Ramification and Structure of Finite Extensions
Explores ramification and structure of finite extensions of Qp, including unramified extensions and Galois properties.