Iwasawa theory of Harse zeta functions

关于岩泽模型理论，我完成了预印本《模型的p-进Hoclge理论和Zeta函数的值》(244页)。在这篇文章中，我证明了岩泽主要猜想关于模形式的一半。作为应用，我得到了有理数域上椭圆曲线上的BSD分解的结果。对于具有Poeetre特征的整体域上的交换簇，我在假设Take-Shaturevich群的作用下证明了它。我通过与Takeshi Saito的合作证明了BLocn的导体公式，这也与Harse Zeta函数有关。我用对数几何的方法得到了关于对数Hodge理论和对数交换簇的结果。

Concerning Iwasawa theory of moduar forms, I completed the preprint "p-adic Hoclge theory and values of zeta funcions of moduar forms" (244 pages). In this paper, I proved the half of Iwasawa main conjecture for modular forms. (Half means one 【less than or equal】 in the conjecture which has the form of the equality "zeta side"="arithmetic group side.)As an application I obtained results on BSD confectures on elliptic curves over rational number field.Concerning BSD 'cong' for abelian varieties over global fields of poeetre characteristic, I proved it assuming the fimteness of Take-Shaturevich group (with F. Trihen).I proved Blocn's conductor formula by the joint work with Takeshi Saito, This is related also to Harse zeta functions.I obtained results on log Hodge theory and on log abelian varieties by using the method of log geometry.