Author(s): Katsuya Miyake, ed.
Series: Advanced Studies in Pure Mathematics 30
Publisher: Mathematical Society of Japan
Year: 2001
Language: English
Pages: 648
Front Cover ......Page 1
Title ......Page 2
Copyright ......Page 3
Preface ......Page 4
Acknowledgement ......Page 6
Program ......Page 8
CONTENTS ......Page 12
Shokichi IYANAGA - Memories of Professor Teiji Takagi ......Page 14
Maruti Ram MURTY - On Artin L-Functions ......Page 26
G?nther FREI - How Hasse was led to the Theory of Quadratic Forms, the Local-Global Principle, the Theory of the Norm Residue Symbol, the Reciprocity Laws, and to Class Field Theory ......Page 44
Ivan FESENKO - Nonabelian Local Reciprocity Maps ......Page 76
Akito NOMURA - Embedding Problems with restricted Ramifications and the Class Number of Hilbert Class Fields ......Page 92
Helmut KOCH - The History of the Theorem of Shafarevich in the Theory of Class Formations ......Page 100
Masakazu YAMAGISHI - A Survey of p-Extensions ......Page 120
Thong NGUYEN QUANG Do - Galois Module Stucture of p-Class Formations ......Page 136
Thomas ZINK - A Dieudonne Theory for p-Divisible Groups ......Page 152
Peter STEVENHAGEN - Hilbert's 12th Problem, Complex Multiplication and Shimura Reciprocity ......Page 174
David R. KOHEL - Hecke Module Structure of Quaternions ......Page 190
Ichiro SATAKE - On Classification of Semisimple Algebraic Groups ......Page 210
Bill CASSELMAN - The L-Group ......Page 230
Roland GILLARD - Groupe des Obstructions pour les Deformations de Representations Galoisiennes ......Page 272
Rene SCHOOF - Abelian Varieties over Q( sqrt{6}) with Good Reduction Everywhere ......Page 300
Hiromichi YANAl - Hodge Cycles and Unramified Class Fields ......Page 320
Noriyuki OTSUBO - Recent Progress on the Finiteness of Torsion Algebraic Cycles ......Page 326
Kanetomo SATO - Finiteness of a certain Motivic Cohomology Group of Varieties over Local and Global Fields ......Page 338
Ralph GREENBERG - Iwasawa Theory - Past and Present ......Page 348
Manabu OZAKI - Iwasawa Invariants of Z_p-Extensions over an Imaginary Quadratic Field ......Page 400
Hisao TAYA - On p-Adic Zeta Functions and Class Groups of Z_p-Extensions of certain Totally Real Fields ......Page 414
Winfried KOHNEN - Class Numbers of Imaginary Quadratic Fields ......Page 428
Ryotaro OKAZAKI - On Parities of Relative Class Numbers of certain CM-Extensions ......Page 432
Sang Geun HAHN and Dong Hoon LEE - Some Congruences for Binomial Coefficients ......Page 458
Jean COUGNARD - Stably Free and Not Free Rings of Integers ......Page 476
Mohammed AYADI, Abdelmalek AZIZI and Moulay CHRIF ISMAILI - The Capitulation Problem for certain Number Fields ......Page 480
Hiroshi SUZUKI - On the Capitulation Problem ......Page 496
Masanori MORISHITA and Takao WATANABE - Adele Geometry of N umbers ......Page 522
Takashi ONO - On Shafarevich-Tate Sets ......Page 550
Peter ROQUETTE - Class Field Theory in Characteristic p, its Origin and Development ......Page 562
