l'Institut des Hautes Études Scientifiques, le Morningside Center of Mathematics, Chinese Academy of Sciences
et le Département des Sciences Mathématiques de l'Université de Tokyo

Ahmed Abbes (CNRS, IHÉS), Fabrice Orgogozo (CNRS, École polytechnique), Takeshi Saito (Université de Tokyo),
Atsushi Shiho (Université de Tokyo), Ye Tian (Morningside Center for Mathematics), Yichao Tian (Morningside Center for Mathematics),
Takeshi Tsuji (Université de Tokyo), Weizhe Zheng (Morningside Center for Mathematics)

Mercredi 8 avril 2015 de 10h30 à 11h30

Seidai Yasuda (Osaka University)

Integrality of p-adic multiple zeta values and application to finite multiple zeta values

I will give a proof of an integrality of p-adic multiple zeta values. I would also like to explain how it can be applied to give an upper bound of the dimension of finite multiple zeta values.

Two errata on the proof of Theorem 1.
1. The claim ``we have canonical lifts of Frobenius on Z_T and Z_U" is not correct. It should read ``we have canonical lifts of Frobenius on the p-adic completions of Z_T and Z_U".
2. The weight filtration on the module H does not satisfy W_0 H = H. It should read W_{-1}H = 0.