RIMS Kôkyûroku
No.1871
保型表現とその周辺
Automorphic Representations and Related Topics
RIMS 研究集会報告集
 　
2013/01/21〜2013/01/25
市野　篤史
Atsushi Ichino
　
目　次
　
1. PERIODS OF AUTOMORPHIC FORMS : THE CASE OF (GL$_{n+1}\times$ GL$_n$,GL$_n$) (Automorphic Representations and Related Topics)------1
　　　　京都大学理学研究科　　　市野 篤史　(ICHINO,ATSUSHI)
　
2. Periods of automorphic forms : the case of (U$_{n+1}\times$ U$_n$,U$_n$) (Automorphic Representations and Related Topics)---------6
　　　　九州大学大学院数理学研究院　　　山名 俊介　(Yamana,Shunsuke)
　
3. 階数2のシンプレクティック群に関するユニポテント軌道積分の係数について (保型表現とその周辺)---------------------------------------18
　　　　金沢大学理工研究域　　　若槻 聡　(Wakatsuki,Satoshi)
　
4. THE TWISTED SATAKE ISOMORPHISM AND CASSELMAN-SHALIKA FORMULA (Automorphic Representations and Related Topics)--------------------28
　　　　SCHOOL OF MATHEMATICS, BEN GURION UNIVERSITY OF THE NEGEV　　　GUREVICH,NADYA
　
5. THE REGULARIZED SIEGEL-WEIL FORMULA : A SECOND TERM IDENTITY (Automorphic Representations and Related Topics)--------------------37
　　　　NATIONAL UNIVERSITY OF SINGAPORE　　　GAN,WEE TECK
　
6. ON CONFLUENT HYPERGEOMETRIC FUNCTIONS AND REAL ANALYTIC SIEGEL MODULAR FORMS OF DEGREE 2 (Automorphic Representations and Related Topics)---48
　　　　慶應義塾大学理工学部　　　宮崎 琢也　(MIYAZAKI,TAKUYA)
　
7. $SU$(2,1)と$SU$(3,1)の離散系列表現の行列係数 (保型表現とその周辺)----------------------------------------------------------------54
　　　　北里大学一般教育部　　　宮崎 直　(Miyazaki,Tadashi)
　
8. Some remarks on the automorphic spectrum of the inner forms of SL$(N)$ (Automorphic Representations and Related Topics)----------65
　　　　Insitute [Institute] of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences　　　Li,Wen-Wei
　
9. THE Sp$_n\times$ Sp$_n$-PERIOD OF A PSEUDO-EISENSTEIN SERIES ON Sp$_{2n}$ (Automorphic Representations and Related Topics)-------75
　　　　INSTITUTE OF MATHEMATICS, HEBREW UNIVERSITY OF JERUSALEM / DEPARTMENT OF MATHEMATICS, TECHNION　　　LAPID,EREZ / OFFEN,OMER
　
10. WHITTAKER-FOURIER COEFFICIENTS OF CUSPIDAL REPRESENTATIONS ON CLASSICAL GROUPS (Automorphic Representations and Related Topics)---82
　　　　Hebrew U. Jerusalem / Rutgers U.　　　LAPID,EREZ / MAO,ZHENGYU
　
11. ARCHIMEDEAN $L$-FACTORS FOR STANDARD $L$-FUNCTIONS ATTACHED TO NON-HOLOMORPHIC SIEGEL MODULAR FORMS OF DEGREE 2 (Automorphic Representations and Related Topics)---84
　　　　成蹊大学理工学部　　　石井 卓　(ISHII,TAKU)
　
12. GL(2)の保型L関数の中心値の平均の漸近的な振る舞い (保型表現とその周辺)-----------------------------------------------------------90
　　　　大阪大学大学院理学研究科数学専攻　　　杉山 真吾　(SUGIYAMA,SHINGO)
　
13. Selberg zeta values of Schottky groups and the Mumford isomorphisms (Automorphic Representations and Related Topics)------------96
　　　　佐賀大学工学系研究科数理科学専攻　　　市川 尚志　(Ichikawa,Takashi)
　
14. Supercuspidal representations in the cohomology of the Rapoport-Zink space for the unitary group in three variables (Automorphic Representations and Related Topics)---105
　　　　京都大学理学研究科　　　伊藤 哲史　(Ito,Tetsushi)
　
15. ON THE DIMENSION DATUM OF A SUBGROUP (Automorphic Representations and Related Topics)------------------------------------------117
　　　　LMAM, SCHOOL OF MATHEMATICAL SCIENCES, PEKING UNIVERSITY / INSTITUTE OF MATHEMATICAL SCIENCES, THE CHINESE UNIVERSITY OF HONG KONG / SCHOOL OF MATHEMATICS, INSTITUTE FOR ADVANCED STUDY, PRINCETON　　　AN,JINPENG / YU,JIU-KANG / YU,JUN
　
16. FINITE QUADRATIC MODULES OVER NUMBER FIELDS AND THEIR ASSOCIATED WEIL REPRESENTATIONS (Automorphic Representations and Related Topics)---125
　　　　Istanbul Universitesi, Fen Fakultesi, Matematik Bolumu　　　BOYLAN,HATICE
　
17. On the growth of Fourier coefficients of Siegel modular forms (Automorphic Representations and Related Topics)-----------------136
　　　　Institut fur Mathematik, Universitat Mannheim / Department of Mathematics, Indian Institute of Science　　　Bocherer,Siegfried / Das,Soumya
　
18. SOME REMARKS ON THE GL(2) CONVERSE THEOREM : JOINT WITH MUTHU KRISHNAMURTHY (Automorphic Representations and Related Topics)---145
　　　　U. Bristol　　　BOOKER,ANDREW R.
　
19. GLOBAL COEFFICIENTS IN THE FINE GEOMETRIC EXPANSION OF ARTHUR'S TRACE FORMULA FOR GL$(n)$ (Automorphic Representations and Related Topics)---153
　　　　MATHEMATISCHES INSTITUT, RHEINISCHE FRIEDRICH-WILHELMS-UNIVERSITAT BONN　　　MATZ,JASMIN
　
20. THE LIMIT MULTIPLICITY PROBLEM FOR CONGRUENCE SUBGROUPS OF ARITHMETIC LATTICES AND THE TRACE FORMULA (Automorphic Representations and Related Topics)---164
　　　　FREIE UNIVERSITAT BERLIN, INSTITUT FUR MATHEMATIK　　　FINIS,TOBIAS
　
21. $K$3曲面の周期写像を通して見たHilbertモジュラー関数 (保型表現とその周辺)-------------------------------------------------------177
　　　　早稲田大学基幹理工学部数学科　　　永野 中行　(Nagano,Atsuhira)
　
22. Explicit modular map for abelian surfaces via $K$3 surfaces (Automorphic Representations and Related Topics)-------------------189
　　　　千葉大学理学研究科　　　志賀 弘典　(SHIGA,Hironori)
　
23. ON THETA CORRESPONDENCES FOR (GSp$_4$, GSO$_{4,2}$) (Automorphic Representations and Related Topics)---------------------------203
　　　　大阪市立大学理学研究科　　　森本 和輝　(MORIMOTO,KAZUKI)
　
24. ON A CERTAIN SIMPLE RELATIVE TRACE FORMULA FOR GSp(4) : JOINT WORK WITH KIMBALL MARTIN (Automorphic Representations and Related Topics)---207
　　　　大阪市立大学理学研究科　　　古澤 昌秋　(FURUSAWA ,MASAAKI)
　
25. STRUCTURES AND DIMENSIONS OF VECTOR VALUED JACOBI FORMS, AND CONJECTURES OF SHIMURA TYPE AND HARDER TYPE (Automorphic Representations and Related Topics)---214
　　　　大阪大学理学研究科　　　伊吹山 知義　(IBUKIYAMA,TOMOYOSHI)