Equivalences of Categories

In course

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Description

This lecture starts by studying examples of existence and non-existence of natural transformations, then moves on to the concept of equivalence of categories, exploring concrete examples such as equivalences between categories of the form BG for G a group. Towards the end, the notion of adjunction is introduced, along with a first class of specific examples, where one of the categories involved is Un.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_8k725l1m

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Ontological neighbourhood

Mathematics

Algebra: Abstract algebra, Representation theory, Category theory

Topology: Algebraic topology

Physics

Quantum mechanics: Quantum gravity

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