Graded Ring Structure on Cohomology

In course

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Description

This lecture discusses the graded ring structure on cohomology, focusing on the associativity and commutativity of the cup product. The instructor explains the proof of the associative property and the graded commutativity, emphasizing the use of free ZG-resolution. The lecture concludes with the application of these concepts in the context of H*(Q8; Z), showcasing a class and an isomorphism for isomorphic morphisms.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_j7w8dglx

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Ontological neighbourhood

Mathematics

Algebra: Abstract algebra, Linear algebra, Representation theory

Topology: Algebraic topology

Analysis: Tensor analysis, Functional analysis

Theoretical computer science

Programming language theory: High-level programming languages

Education

Educational stages: Higher education

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