CONTENTS

1. Torsion of abelian schemes and rational points on moduli spaces (Algebraic Number Theory and Related Topics 2007)-----------------7

　　　　Institut de Mathematiques de Bordeaux, Universite Bordeaux / Research Institute for Mathematical Sciences, Kyoto University　　　CADORET,Anna / TAMAGAWA,Akio

　

2. Smallness of fundamental groups for arithmetic schemes : a resume (Algebraic Number Theory and Related Topics 2007)--------------31

　　　　Graduate School of Mathematics, Kyushu University　　　HARADA,Shinya

　

3. Realizations of the Elliptic Polylogarithm for CM elliptic curves (Algebraic Number Theory and Related Topics 2007)--------------33

　　　　Department of Mathematics, Keio University / Institute of Mathematics, Tohoku University / Graduate School of Mathematics, University of Tokyo　　　BANNAI,Kenichi / KOBAYASHI,Shinichi / TSUJI,Takeshi

　

4. $\ell$進層のSwan導手とunit-root overconvergent $F$-isocrystalの特性サイクルについて (Algebraic Number Theory and Related Topics 2007)---51

　　　　東京大学数理科学研究科　　　阿部 知行　(ABE,Tomoyuki)

　

5. Cycle classes, Lefschetz trace formula and integrality for $p$-adic cohomology (Algebraic Number Theory and Related Topics 2007)---57

　　　　Graduate School of Mathematics, Kyushu University　　　MIEDA,Yoichi

　

6. On the anabelian geometry of hyperbolic curves over finite fields (Algebraic Number Theory and Related Topics 2007)--------------67

　　　　School of Engineering, Computer Science, and Mathematics, University of Exeter / Research Institute for Mathematical Sciences, Kyoto University　　　SAIDI,Mohamed / TAMAGAWA,Akio

　

7. On the $K(\pi, 1)$-property for rings of integers in the mixed case (Algebraic Number Theory and Related Topics 2007)------------91

　　　　NWF I-Mathematik, Universitat Regensburg　　　SCHMIDT,Alexander

　

8. On elliptic curves of conductor $11^2$ and an open question of Ihara (Algebraic Number Theory and Related Topics 2007)----------101

　　　　Department of Mathematics & Computer Science, Wesleyan University　　　RASMUSSEN,Christopher

　

9. Around Kummer theories (Algebraic Number Theory and Related Topics 2007)--------------------------------------------------------115

　　　　Department of Mathematics, Chuo University　　　SUWA,Noriyuki

　

10. Prime divisors of the class number of the real $p^r$th cyclotomic field and characteristic polynomials attached to them (Algebraic Number Theory and Related Topics 2007)---149

　　　　Kanazawa Institute of Technology / Kanazawa Medical University　　　KOYAMA,Youichi / YOSHINO,Ken-ichi

　

11. Unramified extensions and geometric $\mathbb{Z}_p$-extensions of global function fields (Algebraic Number Theory and Related Topics 2007)---173

　　　　College of Science and Engineering, Ritsumeikan University　　　ITOH,Tsuyoshi

　

12. Local units are generated by certain cyclotomic units (Algebraic Number Theory and Related Topics 2007)------------------------183

　　　　Hokkaido University　　　ASAKURA,Masanori

　

13. On localizations of the characteristic classes of $\ell$-adic sheaves of rank 1 (Algebraic Number Theory and Related Topics 2007)---193

　　　　Graduate School of Mathematical Sciences, The University of Tokyo　　　TSUSHIMA,Takahiro

　

14. On a Problem of Hasse (Algebraic Number Theory and Related Topics 2007)--------------------------------------------------------209

　　　　Yatsushiro National College of Technology / Faculty of Science and Engineering, Saga University / Department of Sciences and Humanities, NUCES Peshawar Campus / Faculty of Science and Engineering, Saga University　　　MOTODA,Yasuo / NAKAHARA,Toru / SHAH,Syed Inayat Ali / UEHARA,Tsuyoshi

　

15. Construction of cyclic number fields with prime degree and their Frobenius automorphisms (Algebraic Number Theory and Related Topics 2007)---223

　　　　Faculty of Science and Technology, Sophia University　　　KOMATSU,Toru

　

16. On the field intersection problem of generic polynomials : a survey (Algebraic Number Theory and Related Topics 2007)----------231

　　　　Department of Mathematics, Rikkyo University / Department of Mathematics, School of Fundamental Science and Engineering, Waseda University　　　HOSHI,Akinari / MIYAKE,Katsuya

　

17. On a versal family of curves of genus two with $\sqrt{2}$-multiplication (Algebraic Number Theory and Related Topics 2007)-----249

　　　　Department of Pure and Applied Mathematics, Graduate School of Sci. Eng., Waseda University / Department of Pure and Applied Mathematics, Graduate School of Sci. Eng., Waseda University　　　HASHIMOTO,Kiichiro / SAKAI,Yukiko