Differential Forms on Manifolds

In course

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Description

This lecture covers the concept of differential forms on manifolds, introducing the tangent bundle, intersection pairings, and bilinear forms. The instructor explains the properties and applications of differential forms in the context of smooth manifolds.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_9mkhorij

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Ontological neighbourhood

Mathematics

Geometry: Differential geometry, Algebraic geometry, Euclidean geometry

Algebra: Linear algebra, Representation theory

Analysis: Differential anaysis, Calculus, Vector analysis

Theoretical computer science

Programming language theory: High-level programming languages

Logic

Classical logic: First-order logic

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