No.1523
保型表現・L函数・周期の研究
Automorphic representations, L-functions, and periods
RIMS 研究集会報告集
 
2006/01/23〜2006/01/27
池田 保
Tamotsu Ikeda
 
目 次
 
1. On the basis problem for Siegel modular forms of squarefree level(Automorphic representations, L-functions, and periods)----------1
       Bocherer, Siegfried
 
2. PROOF OF DOUBLE SHUFFLE RELATIONS FOR $p$-ADIC MULTIPLE ZETA VALUES(Automorphic representations, L-functions, and periods)-------12
    GRADUATE SCHOOL OF MATHEMATICS, NAGOYA UNIVERSITY   FURUSHO, HIDEKAZU
 
3. INTERSECTION NUMBERS OF HECKE CYCLES ON HILBERT MODULAR VARIETIES(Automorphic representations, L-functions, and periods)---------25
    DEPARTMENT OF MATHEMATICS, UW-MADISON   GETZ, JAYCE
 
4. Real Analytic Eisenstein series of weight k and index m with respect to the Jacobi Group on SL$_2(\mathbb{Z})$(Automorphic representations, L-functions, and periods)---29
    Dept. for the Promotion of General Education and Liberal Arts, Kyoto University   Hayashi, Yoshiki
 
5. Fourier-Jacobi expansion and Ikeda lifting(Automorphic representations, L-functions, and periods)--------------------------------44
    ジーゲン大学   林田 秀一 (Hayashida, Shuichi)
 
6. ON THE RELATION BETWEEN THE FORMAL DEGREE AND THE ADJOINT LOCAL FACTOR OF A DISCRETE SERIES REPRESENTATION OF A REDUCTIVE GROUP OVER A LOCAL FIELD(Automorphic representations, L-functions, and periods)---53
    DEPARTMENT OF MATHEMATICS, FACULTY OF SCIENCE, KYOTO UNIVERSITY / DEPARTMENT OF MATHEMATICS, GRADUATE SCHOOL OF SCIENCE, OSAKA CITY UNIVERSITY / DEPARTMENT OF MATHEMATICS, FACULTY OF SCIENCE, KYOTO UNIVERSITY   HIRAGA, KAORU / ICHINO, ATSUSHI / IKEDA, TAMOTSU
 
7. ON THE RESTRICTION OF AUTOMORPHIC FORMS ON AN ORTHOGONAL GROUP TO A SMALLER ORTHOGONAL GROUP AND THE GROSS-PRASAD CONJECTURE(Automorphic representations, L-functions, and periods)---63
    DEPARTMENT OF MATHEMATICS, GRADUATE SCHOOL OF SCIENCE, OSAKA CITY UNIVERSITY / GRADUATE SCHOOL OF MATHEMATICS, KYOTO UNIVERSITY   ICHINO, ATSUSHI / IKEDA, TAMOTSU
 
8. CLASS ONE WHITTAKER FUNCTIONS ON REAL SEMISIMPLE LIE GROUPS(Automorphic representations, L-functions, and periods)---------------70
    CHIBA INSTITUTE OF TECHNOLOGY   石井 卓 (ISHII, TAKU)
 
9. Hasse invariants for some unitary Shimura varieties and applications(Automorphic representations, L-functions, and periods)------79
    京都大学大学院理学研究科数学教室   伊藤 哲史 (Ito, Tetsushi)
 
10. Subrepresentation Theorem for $p$-adic Symmetric Spaces(Automorphic representations, L-functions, and periods)------------------95
    京都大学理学研究科 / 明石工業高等専門学校   加藤 信一 / 高野 啓児 (Kato, Shin-ichi / Takano, Keiji)
 
11. Borcherds products for higher level modular forms(Automorphic representations, L-functions, and periods)-----------------------109
    京都大学大学院理学研究科   河合 悠介 (KAWAI, YUSUKE)
 
12. On the Hecke eigenvalues of Siegel cusp forms of genus 2(Automorphic representations, L-functions, and periods)----------------115
    Universitat Heidelberg, Mathematisches Institut   Kohnen, Winfried
 
13. CAP forms on $U(2,2)$II. Cusp forms(Automorphic representations, L-functions, and periods)-------------------------------------117
    Graduate School of Mathematics, Kyushu University / Dept of Edu., Fukuoka University of Education   KONNO, Takuya / KONNO, Kazuko
 
14. An explicit arithmetic formula for the Fourier coefficients of Siegel-Eisenstein series of degree two with square free odd level(Automorphic representations, L-functions, and periods)---131
    Department of Mathematics, Keio University   Mizuno, Yoshinori
 
15. Commutation relation of Hecke operators for Arakawa lifting(Automorphic representations, L-functions, and periods)-------------148
    Department of Mathematical Sciences, Faculty of Science, Kyoto Sangyo University / Osaka City University, Advanced Mathematical Institute   Murase, Atsushi / Narita, Hiro-aki
 
16. GELFAND PAIRS AND BOUNDS FOR VARIOUS FOURIER COEFFICIENTS OF AUTOMORPHIC FUNCTIONS(Automorphic representations, L-functions, and periods)---158
    BAR ILAN UNIVERSITY   RENZNIKOV, ANDRE
 
17. Memorandum on Dimension Formulas for Spaces of Jacobi Forms(Automorphic representations, L-functions, and periods)-------------172
    Universitat Siegen, Fachbereich Mathematik   Skoruppa, Nils-Peter
 
18. Rankin-Selberg $L$ 関数, 及び symmetric square $L$ 関数の零点について(保型表現・L函数・周期の研究)-----------------------------184
    名古屋大学大学院多元数理科学研究科   鈴木 正俊 (Suzuki, Masatosi)
 
19. On the zeta function for the space of binary cubic forms and distributions of discriminants of cubic ring extensions(Automorphic representations, L-functions, and periods)---194
    東京大学大学院数理科学研究科   谷口 隆 (Taniguchi, Takashi)
 
20. A certain Galois action on modular forms with respect to any unitary group and the arithmeticity of Petersson inner products(Automorphic representations, L-functions, and periods)---204
    GRADUATE SCHOOL OF MATHEMATICS, NAGOYA UNIVERSITY   YAMAUCHI, Atsuo