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Siegel Modular Forms and Their Applications

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The 1-2-3 of Modular Forms

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Abstract

These are the lecture notes of the lectures on Siegel modular forms at the Nordfjordeid Summer School on Modular Forms and their Applications. We give a survey of Siegel modular forms and explain the joint work with Carel Faber on vector-valued Siegel modular forms of genus 2 and present evidence for a conjecture of Harder on congruences between Siegel modular forms of genus 1 and 2.

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  1. Korteweg-de Vries Instituut, Universiteit van Amsterdam, PlantageMuidergracht 24, 1018 TV, Amsterdam, Netherlands

    Gerard van der Geer

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  1. Gerard van der Geer
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  1. Department of Mathematics, University of Oslo, P.O. Box 1053 Blindern, 0316, Oslo, Norway

    Kristian Ranestad

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van der Geer, G. (2008). Siegel Modular Forms and Their Applications. In: Ranestad, K. (eds) The 1-2-3 of Modular Forms. Universitext. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74119-0_3

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