Lecture

Modular Forms: Dimension Formula

In course

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Description

This lecture delves into the concept of modular forms, focusing on the pullback map of differentials between the upper half plane and modular curve. The instructor explains the uniqueness of meromorphic differentials and introduces the Riemann-Roch theorem, a crucial tool for proving the dimension formula for spaces of modular forms.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_7mrex2jm

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Ontological neighbourhood

Mathematics

Analysis: Complex analysis, Functional analysis

Algebra: Abstract algebra

Geometry: Algebraic geometry

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