Restriction of Siegel modular forms to modular curves
نویسندگان
چکیده
منابع مشابه
Siegel Modular Forms
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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This paper explicitly describes the procedure of associating an automorphic representation of PGSp(2n, A) with a Siegel modular form of degree n for the full modular group Γn = Sp(2n, Z), generalizing the well-known procedure for n = 1. This will show that the so-called “standard” and “spin” L-functions associated with such forms are obtained as Langlands L-functions. The theory of Euler produc...
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Siegel modular forms can be thought of as modular forms in more than one variable. Introduced in the 1930’s by Siegel in his analytic study of quadratic forms, they nowadays occur naturally in many unexpected places. We develop the basic theory from scratch, assuming only that the listener/reader has seen some rudiments of modular forms in one variable. We list some of the many applications and...
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ژورنال
عنوان ژورنال: Bulletin of the Australian Mathematical Society
سال: 2002
ISSN: 0004-9727,1755-1633
DOI: 10.1017/s0004972700020281