Lecture

Modular Curves: Genus and Mapping Theorems

In course

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Description

This lecture covers the concept of holomorphic maps between Riemann surfaces, including the definition of holomorphic maps, isomorphisms, and ramification points. It also explores the Open Mapping Theorem, the Degree of a holomorphic map, and the Riemann-Hurwitz formula. The lecture concludes with a detailed proof regarding the genus of a modular curve.

Instructor

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Official source

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

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Mathematics

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