The arithmetic of p adic hilbert modular forms and the geometry of moduli spaces of abelian varieties are related this relation is used to study q expansions of hilbert modular forms on the one hand and stratifications of moduli spaces on the other hand the book is addressed to graduate students and non experts. Arithmetic aspects of hilbert modular forms and varieties mladen dimitrov abstract hilbert modular forms and varieties are the natural gener alization of elliptic modular forms and curves when the ground field of the exposition follows the lectures given at the crm barcelona in. Buy lectures on hilbert modular varieties and modular forms crm monograph series on amazoncom free shipping on qualified orders. The present notes contain the material of the lectures given by the author at the summer school on modular forms and their applications at the sophus lie conference center in the summer of 2004 we give an introduction to the theory of hilbert modular forms and some geometric and arithmetic applications. P adic hilbert modular forms one can develop a theory of p adic hilbert modular forms as a uniform limit of q expansions of hilbert modular forms in the p adic metric for example for g 1 if f f 0mod pr integral normalized then k k0mod p 1pr 1 and so a p adic limit has weight in the completion of the characters z of g m at the
How it works:
1. Register Trial Account.
2. Download The Books as you like ( Personal use )