Program/Abstract

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Japanese version program: pdf. English version program: pdf.
Abstract: pdf.

Program

May 21 (Mon)
13:30 - 14:20 Henri Darmon (Mcgill University)

The p-adic uniformisation of modular curves by p-arithmetic groups

14:50 - 15:35 Yasutaka Ihara (Tokyo University, Kyoto University)

On (∞ × p)-adic uniformization of curves mod p with assigned many rational points

(I) some reviews; Shimura's and Igusa's works as points of departure

16:10 - 17:00 Iwao Sato (National Institute of Technology, Oyama College)

Ihara zeta function and quantum walk

May 22 (Tue)
10:00 - 10:50 Hiroaki Nakamura (Osaka University)

Arithmetic and combinatorics in Galois fundamental groups

11:10 - 12:00 Arata Minamide (Kyoto University)

The Grothendieck -Teichmüller group as an open subgroup of the outer automorphism group of the étale fundamental group of a configuration space

14:00 - 14:50 Masanori Morishita (Kyushu University)

Arithmetic topology in Ihara theory

- Milnor invariants, Heisenberg covers and triple power residue symbols

15:15 - 16:05 Romyar Sharifi (University of California, Los Angeles)

Modular symbols and arithmetic

16:30 - 17:20 Francis Brown (Oxford University)

The projective line minus 3 points: past, present and future

18:30 - 20:30 Banquet (Camphora, Kyoto University)

May 23 (Wed)
10:00 - 10:50 Katsutoshi Yamanoi (Osaka University)

Kobayashi hyperbolicity of the complements of ample divisors in abelian varieties

11:10 - 12:00 Kohji Matsumoto (Nagoya University)

On the theory of M-functions

14:00 - 14:45 Yasutaka Ihara (Tokyo University, Kyoto University)

On (∞ × p)-adic uniformization of curves mod p with assigned many rational points

(II) existence of uniformization is an abelian problem

15:00 - 15:50 Tomoyoshi Ibukiyama (Osaka University)

Ihara lifts and conjectural correspondences between symplectic automorphic forms of genus two