RIMS Kôkyûroku

No.2120

2018/05/21〜2018/05/23

金子　昌信

Masanobu Kaneko

目　次

1. FROM THE DELIGNE-IHARA CONJECTURE TO MULTIPLE MODULAR VALUES (Profinite monodromy, Galois representations, and Complex functions)---1

　　　　All Souls College, Oxford University　　　 　(BROWN,FRANCIS)

　

2. A MULTI-VARIABLE VERSION OF THE COMPLETED RIEMANN ZETA FUNCTION AND OTHER $L$-FUNCTIONS (Profinite monodromy, Galois representations, and Complex functions)---25

　　　　All Souls College, Oxford University　　　BROWN,FRANCIS

　

3. THE $p$-ADIC UNIFORMISATION OF MODULAR CURVES BY $p$-ARITHMETIC GROUPS (Profinite monodromy, Galois representations, and Complex functions)---52

　　　　Department of Mathematics, McGill University　　　DARMON,HENRI

　

4. IHARA LIFTS AND CONJECTURAL CORRESPONDENCES BETWEEN SYMPLECTIC AUTOMORPHIC FORMS OF GENUS TWO (Profinite monodromy, Galois representations, and Complex functions)---62

　　　　大阪大学　　　伊吹山 知義　(IBUKIYAMA,TOMOYOSHI )

　

5. On ($\infty$×$p$)-adic uniformization of curves mod $p$ with assigned many rational points (Profinite monodromy, Galois representations, and Complex functions)---72

　　　　京都大学　　　伊原 康隆　(lhara,Yasutaka )

　

6. ON THE THEORY OF $M$-FUNCTIONS (Profinite monodromy, Galois representations, and Complex functions)-----------------------------153

　　　　名古屋大学　　　松本 耕二　(MATSUMOTO,KOHJI )

　

7. The Grothendieck-Teichmuller group as an open subgroup of the outer automorphism group of the etale fundamental group of a configuration space (Profinite monodromy, Galois representations, and Complex functions)---166

　　　　京都大学数理解析研究所　　　南出 新　(Minamide,Arata )

　

8. Arithmetic topology in Ihara theory: Milnor invariants, Heisenberg coverings and triple power residue symbols (Profinite monodromy, Galois representations, and Complex functions)---172

　　　　九州大学　　　森下 昌紀　(Morishita,Masanori )

　

9. Arithmetic and Combinatorics in Galois fundamental groups (Profinite monodromy, Galois representations, and Complex functions)---188

　　　　大阪大学　　　中村 博昭　(NAKAMURA,HIROAKI )

　

10. The Ihara Zeta function and Quantum Walk (Profinite monodromy, Galois representations, and Complex functions)------------------199

　　　　小山工業高等専門学校　　　佐藤 巌　(Sato,lwao )

　

11. Soule characters in the work of Ihara (Profinite monodromy, Galois representations, and Complex functions)---------------------220

　　　　Department of Mathematics, University of California, Los Angeles　　　Sharifi,Romyar

　

12. ON STRONG SECOND MAIN THEOREM TYPE CONJECTURE IN HIGHER DIMENSIONAL NEVANLINNA THEORY (Profinite monodromy, Galois representations, and Complex functions)---228

　　　　大阪大学　　　山ノ井 克俊　(YAMANOI,KATSUTOSHI )