Lecture

Harmonic Forms and Riemann Surfaces

In course

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Description

This lecture covers the concept of harmonic forms on Riemann surfaces, exploring the Main Theorem of compact Riemann surfaces and the uniqueness of solutions to harmonic equations. It delves into the properties of holomorphic and anti-holomorphic forms, as well as the Riemann bilinear identity. The instructor discusses the representation of differential forms and the conjugation operator. The lecture emphasizes the importance of harmonic differential forms and their applications in complex analysis.

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Instructor

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Official source

https://mediaspace.epfl.ch/media/0_6loogmtt

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Ontological neighbourhood

Mathematics

Analysis: Complex analysis, Functional analysis, Vector analysis, Differential anaysis, Calculus

Algebra: Linear algebra, Abstract algebra

Geometry: Differential geometry, Algebraic geometry

Logic

Classical logic: First-order logic

Mechanical engineering

Aerospace engineering: Spacecrafts

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