This e-book grew out of 3 sequence of lectures given on the summer season tuition on "Modular kinds and their functions" on the Sophus Lie convention middle in Nordfjordeid in June 2004. the 1st sequence treats the classical one-variable idea of elliptic modular types. the second one sequence provides the idea of Hilbert modular varieties in variables and Hilbert modular surfaces. The 3rd sequence supplies an advent to Siegel modular kinds and discusses a conjecture via more durable. It additionally includes Harder's unique manuscript with the conjecture.
Each half treats a few appealing applications.
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