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Computing actions on cusp forms Zywina, David
Description
We describe how to explicitly compute the natural action of $SL_2(\mathbb{Z})$ on the space of cusp forms $S_k(\Gamma(N))$. This action is useful for finding equations of modular curves via their canonical embedding. It will reduce to studying Atkin-Lehner involutions and the arithmetic of the underlying modular curves.
Item Metadata
Title |
Computing actions on cusp forms
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2017-05-29T15:03
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Description |
We describe how to explicitly compute the natural action of $SL_2(\mathbb{Z})$ on the space of cusp forms $S_k(\Gamma(N))$. This action is useful for finding equations of modular curves via their canonical embedding. It will reduce to studying Atkin-Lehner involutions and the arithmetic of the underlying modular curves.
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Extent |
45 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: Cornell University
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Series | |
Date Available |
2017-11-26
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0360727
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Faculty
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Rights URI | |
Aggregated Source Repository |
DSpace
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Rights
Attribution-NonCommercial-NoDerivatives 4.0 International