CONTENTS

1. Serreの保型性予想の紹介 (Algebraic Number Theory and Related Topics 2008)---------------------------------------------------------7

　　　　九州大学大学院数理学研究院　　　田口 雄一郎　(TAGUCHI,Yuichiro)

　

2. Lifting Galois representations over arbitrary number fields : A resume (Algebraic Number Theory and Related Topics 2008)---------23

　　　　Graduate School of Mathematics, Kyushu University　　　TOMIYAMA,Yoshiyuki

　

3. Kisin conjecture on the moduli spaces of finite at models (Algebraic Number Theory and Related Topics 2008)----------------------25

　　　　Graduate School of Mathematical Sciences, the University of Tokyo　　　IMAI,Naoki

　

4. Ramification of truncated discrete valuation rings : a survey (Algebraic Number Theory and Related Topics 2008)------------------35

　　　　RIMS, Kyoto University　　　HIRANOUCHI,Toshiro

　

5. Purity of Stratifications of Shimura Varieties in Positive Characteristic (Algebraic Number Theory and Related Topics 2008)------45

　　　　Universite Paris 7, U.F.R. de mathematiques, Institut de mathematiques de Jussieu　　　NICOLE,Marc-Hubert

　

6. 組み合わせ論的カスプ化の単射性部分について (Algebraic Number Theory and Related Topics 2008)-------------------------------------81

　　　　京都大学数理解析研究所　　　星 裕一郎　(HOSHI,Yuichiro)

　

7. 計算代数システムMagmaによる代数構造の計算 (Algebraic Number Theory and Related Topics 2008)-------------------------------------107

　　　　電気通信大学数学教室　　　木田 雅成　(KIDA,Masanari)

　

8. Algebraic interpretation of Kawashima relation for multiple zeta values (Algebraic Number Theory and Related Topics 2008)-------117

　　　　Faculty of Mathematics, Kyushu University　　　TANAKA,Tatsushi

　

9. 保型表現の$\varepsilon$-因子と導手 (Algebraic Number Theory and Related Topics 2008)--------------------------------------------135

　　　　Department of Mathematics, Okayama University　　　石川 佳弘　(ISHIKAWA,Yoshi-hiro)

　

10. 楕円尖点形式に付随する$GL(3, R)$上のEisenstein級数のFourier展開 (Algebraic Number Theory and Related Topics 2008)--------------171

　　　　Graduate School of Mathematical Sciences, University of Tokyo　　　宮崎 直　(MIYAZAKI,Tadashi)

　

11. Stability and Arithmetic : An extract of essence (Algebraic Number Theory and Related Topics 2008)-----------------------------187

　　　　Graduate School of Mathematics, Kyushu University　　　WENG,Lin

　

12. On $L$-functions over function fields : Power-means of error-terms and distribution of $L^\prime/L$-values (Algebraic Number Theory and Related Topics 2008)---221

　　　　RIMS, Kyoto University / Graduate School of Mathematics, Nagoya University　　　IHARA,Yasutaka / MATSUMOTO,Kohji

　

13. Factorization of Shintani's ray class invariant for totally real fields (Algebraic Number Theory and Related Topics 2008)------249

　　　　Graduate School of Mathematical Sciences, University of Tokyo　　　YAMAMOTO,Shuji

　

14. Euler systems in the Iwasawa theory of ordinary modular forms : To Gerhard Frey, with gratitude (Algebraic Number Theory and Related Topics 2008)---255

　　　　Graduate school of science, Osaka University　　　FOUQUET,Olivier

　

15. On non-commutative Iwasawa theory of totally real number fields (Algebraic Number Theory and Related Topics 2008)--------------277

　　　　東京大学大学院数理科学研究科　　　原 隆　(HARA,Takashi)

　

16. Iwasawa Theory for nearly ordinary Hida deformations of Hilbert modular forms (Algebraic Number Theory and Related Topics 2008)---301

　　　　Department of Mathematics, Osaka University　　　OCHIAI,Tadashi