Norms and Valuations on Fields

In course

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Description

This lecture covers the construction of Qp, norms and valuations on fields, including the p-adic norm on rational numbers. It also discusses Ostrovski's theorem and the equivalence of non-trivial norms on fields. The lecture explores the properties of norms and valuations, such as the trivial norm and the torinal norm, and their significance in defining a metric space.

Official source

https://mediaspace.epfl.ch/media/0_b4awqd02

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Ontological neighbourhood

Mathematics

Analysis: Functional analysis

Algebra: Abstract algebra

Geometry: Euclidean geometry

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