``
**Algebraic Number Theory and Related Topics" at RIMS,
December 10 - 14, 2007**

Organizers: Mamoru Asada (Kyoto Institute of Technology)

Hiroaki Nakamura (Okayama University)

pdf file Japanese

Banquet : December 12 (Wed) 18:00-20:00

at COOP "Hokuto"

10:00-10:50

Akio Tamagawa (Kyoto University, RIMS)

Torsion of abelian schemes and rational points on moduli spaces

(joint work with Anna Cadoret)

11:10-12:00

Shinya Harada (Kyushu University)

Smallness of fundamental groups for arithmetic schemes

(joint work with Toshiro Hiranouchi)

13:30-14:20

Kentaro Nakamura (University of Tokyo)

Classification of two dimensional trianguline representations

14:40-15:40

Kenichi Bannai (Nagoya University)

$p$-adic elliptic polylogarithm and the two-variable $p$-adic $L$-function for CM elliptic curves

16:10-17:00

Tomoyuki Abe (University of Tokyo)

Comparison between Swan conductors and characteristic cycles

10:00-10:50

Yoichi Mieda (University of Tokyo)

Cycle classes, Lefschetz trace formula and integrality for $p$-adic cohomology

11:10-12:00

Atsushi Shiho (University of Tokyo)

On the overconvergence of relative rigid cohomology

13:30-14:20

Mohamed Sa\"\i di (University of Exeter)

A survey on the anabelian geometry of hyperbolic curves over finite fields

14:40-15:40

Alexander Schmidt (University of Regensburg)

Rings of integers of type $K(\pi,1)$

16:10-17:00

Christopher Rasmussen (Kyoto University, RIMS)

A finiteness result for abelian varieties with constrained prime power torsion

10:00-10:50

Noriyuki Suwa (Chuo University)

Around Kummer theories

11:10-12:00

Youichi Koyama (Kanazawa Institute of Technology),

Ken-ichi Yoshino (Kanazawa Medical University)

On the prime divisors of the class numbers of the real $p^r$th cyclotomic fields

18:00-20:00

Banquet at COOP "Hokuto"

10:00-10:50

Tsuyoshi Itoh (Ritsumeikan University)

Unramified extensions and geometric $\mathbf{Z}_p$-extensions of global function fields

11:10-12:00

Masanori Asakura (Kyushu University)

Local units are generated by certain cyclotomic units

13:30-14:20

Takahiro Tsushima (University of Tokyo)

The Localization of the Characteristic Class of an $l$-adic sheaf and the Conductor formula

14:40-15:40

Yasuo Motoda (Yatsushiro National College of Technology),

Toru Nakahara, Tsuyoshi Uehara (Saga University),

Shah Syed Inayat Ali (University of Peshawar)

On a Problem of Hasse

16:10-17:00

Toru Komatsu (Sophia University)

Construction of cyclic number fields with prime degree and their Frobenius automorphisms

10:00-10:50

Yasuhiro Kishi (Fukuoka University of Education)

An infinite family of imaginary quadratic fields with class number divisible by $5$

11:10-12:00

Akinari Hoshi (Waseda University)

A geometric framework for the subfield problem of generic polynomials via Tschirnhausen transformation

(joint work with Katsuya Miyake)

13:30-14:20

Hidetaka Kitayama (Osaka University)

Inverse Galois problem for an extension of $PSp(2,F_{3})$

14:40-15:40

Hironori Shiga (Chiba University)

Arithmetic-Geometric means and some related theories

16:10-17:00

Ki-ichiro Hashimoto, Yukiko Sakai (Waseda University)

On generic family of genus $2$ curves with $\sqrt{2}$-multiplication

Program committee members: Mamoru Asada, Hiroaki Nakamura,

Hiroki Takahashi (University of Tokushima)