Homological Algebra: Basics and Applications

In course

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Description

This lecture introduces the fundamental concepts of Homological algebra, which serves as a crucial tool in various algebra-related research areas such as topology, algebraic geometry, and group theory. The lecture covers the definition and significance of Ext modules, which are essential for understanding different (co-)homology theories used in modern mathematics. Through examples and explanations, students will grasp the importance of Homological algebra in defining and utilizing various (co-)homology theories in different mathematical fields.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_i0jfqcy5

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Ontological neighbourhood

Mathematics

Topology: Algebraic topology

Algebra: Abstract algebra

Geometry: Algebraic geometry

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