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Branched covering
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Related lectures (10)
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Ramified Extensions: Eisenstein Polynomials
Explores ramified extensions and Eisenstein polynomials, showcasing their applications in mathematical contexts.
Local Homeomorphisms and Coverings
Covers the concepts of local homeomorphisms and coverings in manifolds, emphasizing the conditions under which a map is considered a local homeomorphism or a covering.
PD Control: Pole Placement
Covers the design of a PD control system using pole placement techniques.
Localization Theorem in Dedekind Rings
Explores the Localization Theorem in Dedekind rings, isomorphism induced by injection, and ramification in field theory.
Hermite-Minkowski Theorems: Number Fields and Ideal Classes
Explores Hermite-Minkowski theorems in number fields and ideal classes.
Bounding the Poisson bracket invariant on surfaces
Covers the concept of bounding the Poisson bracket invariant on surfaces, exploring joint work with A. Logunov and S. Tanny.
Ramification and Structure of Finite Extensions
Explores ramification and structure of finite extensions of Qp, including unramified extensions and Galois properties.
Finite Extensions of Qp: Local Constancy
Discusses the classification of finite extensions of Qp and introduces Krassner's Lemma on root continuity.
Holomorphic Functions: Taylor Series Expansion
Covers the basic properties of holomorphic maps and Taylor series expansions in complex analysis.
Modular Curves: Genus and Mapping Theorems
Explores holomorphic maps, ramification points, and the genus of a modular curve.
