Concept
Cyclotomic field
Related lectures (14)
Cyclotomic Extensions: Norms, Ideals, and Primes
Explores cyclotomic extensions, prime numbers, and ideal norms in number theory.
Decomposition & Inertia: Group Actions and Galois Theory
Explores decomposition groups, inertia subgroups, Galois theory, unramified primes, and cyclotomic fields in group actions and field extensions.
Finite Extensions of Qp: Local Constancy
Discusses the classification of finite extensions of Qp and introduces Krassner's Lemma on root continuity.
Orthogonal Projections and Best Approximation
Explains orthogonal matrices, Gram-Schmidt process, and best vector approximation in subspaces.
Temperature-Independent References
Covers the design of bandgap references focusing on temperature-independent references.
Ramification and Structure of Finite Extensions
Explores ramification and structure of finite extensions of Qp, including unramified extensions and Galois properties.
The Topological Künneth Theorem
Explores the topological Künneth Theorem, emphasizing commutativity and homotopy equivalence in chain complexes.