Lecture

The Discriminant and Ideal Class Group in Mathematics

In course

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Description

This lecture covers the concept of the discriminant in mathematics, focusing on its role in matrices and fields. It also explores the link between the discriminant and the ideal class group of a quadratic order, discussing optimal embeddings and equidistribution. The instructor presents key theorems and propositions, illustrating the finite nature of certain sets and the bijection between different mathematical structures.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_bv8n0tl3

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Ontological neighbourhood

Mathematics

Algebra: Abstract algebra

Mathematical logic: Set theory

Logic

Classical logic: First-order logic

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