BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

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.

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