No.884

1993/10/04〜1993/10/6 1994/3/28--1994/3/30

伊原 康隆

Yasutaka Ihara

目　次

1. Filtrations of topological and pro-l mapping class groups of surfaces and their use(Moduli spaces, Galois representations and L-functions)---1

　　　　東京電機大学工学部　　　朝田 衛　(Asada, Mamoru)

　

2. Shintani Functions and Automorphic L-functions(Moduli spaces, Galois representations and L-functions)----------------------------14

　　　　京都産業大学理学部 / 広島大学理学部　　　村瀬 篤 / 菅野 孝史　(Murase, Atsushi / Sugano, Takashi)

　

3. Representations and Pseudo-representations(Moduli spaces, Galois representations and L-functions)--------------------------------24

　　　　Institut de Recherche Mathematique Avancee, Universite Louis Pasteur et C.N.R.S.　　　CARAYOL, Henri

　

4. $K_2$ OF A FERMAT QUOTIENT AND THE VALUE OF ITS $L$ FUNCTION(Moduli spaces, Galois representations and L-functions)--------------27

　　　　東京大学数理科学研究科　　　木村 健一郎　(KIMURA, KEN-ICHIRO)

　

5. Introduction to the filtered Galois representation theory in $\pi_1(\mathbb{P}^1 - { 0, 1, \infty })^{pro-l}$(Moduli spaces, Galois representations and L-functions)---39

　　　　RESEARCH INSTITUTE FOR MATHEMATICAL SCEICNES, KYOTO UNIVERSITY　　　MATSUMOTO, MAKOTO

　

6. Galois representations in the pro-$l$ fundamental groups of punctured elliptic curves(Moduli spaces, Galois representations and L-functions)---46

　　　　東京大学数理科学研究科　　　中村 博昭　(NAKAMURA, HIROAKI)

　

7. Ramification of the Galois representation on the pro-$l$ fundamental group of an algebraic curve(Moduli spaces, Galois representations and L-functions)---54

　　　　京都大学数理解析研究所　　　玉川 安騎男　(TAMAGAWA, AKIO)

　

8. The 5-cycle relation for iterated integrals Monodromy of iterated integrals(Moduli spaces, Galois representations and L-functions)---58

　　　　Universite de Nice-Sophia Antipolis, Department de Mathematiques, Laboratoire Jean Alexandre Dieudonne　　　Wojtkowiak, Zdzislaw

　

9. ON THE RATIONALITY OF THE DETERMINANT OF PEROID INTEGRALS(Moduli spaces, Galois representations and L-functions)-----------------86

　　　　東京都立大学　　　寺杣 友秀　(TERASOMA, TOMOHIDE)

　

10. On positively ramified extensions of algebraic number fields(Moduli spaces, Galois representations and L-functions)-------------94

　　　　　　　WINGBERG, KAY

　

11. Modular Stacks : Generalizing dihedral group-modular curve connections(Moduli spaces, Galois representations and L-functions)---102

　　　　UC IRVINE　　　FRIED, MICHAEL D.

　

12. Coverings of $\mathbb{P}^1-{0, 1, \infty $} with restricted "vertical " ramifications.(Moduli spaces, Galois representations and L-functions)---105

　　　　RIMS, Kyoto University　　　Ihara, Yasutaka

　

13. Fields of difnition of Teichmuller modular function fields and Oda's problem(Moduli spaces, Galois representations and L-functions)---112

　　　　東京大学数理科学研究科 / 京都大学数理解析研究所 / 京都大学数理解析研究所　　　中村 博昭 / 高尾 尚武 / 上野 亮一　(Nakamura, Hiroaki / Takao, Naotake / Ueno, Ryoichi)

　

14. On the existence of unramified $p$-extensions of exponent $p$(Moduli spaces, Galois representations and L-functions)-----------124

　　　　金沢大学自然科学研究科　　　野村 明人　(Nomura, Akito)

　

15. 1点抜き楕円曲線に付随するGalois表現(モジュライ空間、ガロア表現およびL関数)-----------------------------------------------------129

　　　　早稲田大学理工学部　　　角皆 宏　(TSUNOGAI, Hiroshi)

　

16. On p-adic Hodge theory for semi-stable families(Moduli spaces, Galois representations and L-functions)-------------------------141

　　　　Research Institute for Mathematical Sciences, Kyoto University　　　Tsuji, Takeshi

　

17. Generalization of Anderson's $t$-motives and Tate conjecture(Moduli spaces, Galois representations and L-functions)------------154

　　　　京都大学数理解析研究所　　　玉川 安騎男　(TAMAGAWA, AKIO)

　

18. Galois Representations on Profinite Braid Groups on Curves(Moduli spaces, Galois representations and L-functions)--------------160

　　　　RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, KYOTO UNIVERSITY　　　MATSUMOTO, MAKOTO

　

19. ON FREE PRO-p-EXTENSIONS OF ALGEBRAIC NUMBER FIELDS(Moduli spaces, Galois representations and L-functions)---------------------172

　　　　東京大学大学院数理科学研究科　　　山岸 正和　(YAMAGISHI, MASAKAZU)

　

20. On Compact of Drinfeld Moduli Schemes(Moduli spaces, Galois representations and L-functions)-----------------------------------178

　　　　Max-Planck-Institut fur Mathematik　　　Pink, Richard

　

21. On the residue of the Eisenstein series and the Siegel-Weil formula(Moduli spaces, Galois representations and L-functions)-----184

　　　　京都大学理学部　　　池田 保

　

22. ON A CONJECTURE OF SHIMURA CONCERNING PERIODS OF HILBERT MODULAR FORMS(Moduli spaces, Galois representations and L-functions)---192

　　　　Department of Mathematics, Faculty of Science, Kyoto University　　　YOSHIDA, HIROYUKI

　

23. Liftings of Frobenius, degeneracies of Hodge-de Rham spectral sequences, and ordinarities(Moduli spaces, Galois representations and L-functions)---209

　　　　東京大学数理科学科　　　Nakkajima{Nakajima}, Yukiyoshi