"Algebraic Number Theory and Related Topics 2007"

RIMS Kokyuroku Bessatsu B12
Edited by M. Asada, H. Nakamura and H. Takahashi
Table of contents (PDF)
Articles in PDF (online free)


`` 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"



December 10 (Mon)

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

December 11 (Tue)

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

December 12 (Wed)

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"

December 13 (Thu)

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

December 14 (Fri)

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)