Lecture

Abélianization: Fundamental Groups

In course

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Description

This lecture covers the concept of abélianization, which aims to show that the fundamental group of commutative spaces is abelian. It explores the classification theorem for non-isomorphic fundamental groups and the process of taking the quotient to obtain abelian groups. Examples and proofs are provided to illustrate the universal property of abélianization.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_w9gzum37

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Ontological neighbourhood

Mathematics

Algebra: Abstract algebra, Representation theory

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