| Résume | We show the upper bounds of p-adic multiple zeta value(resp. L-value) spaces.The bounds are related to algebraic K-theory.It is the p-adic analogue of the theorem ofGoncharov, Terasoma, Deligne-Goncharov (resp. Deligne-Goncharov). In the p-adic multiple L-value case,the bounds are not best possible in general.The gap between the true dimensions and the bounds relatedalgebraic K-theory is related to spaces of modular forms,by the similar way as complex multiple L-values. We also formulate the p-adic analogue of Grothendieck'sconjecture about an element of motivic Galois group ofthe category of mixed Tate motives.It seems related to "Cebotarev density" of the motivic Galois group. |
