Arithmetic Study Group: Motivic Galois groups and p-adic multiple zeta values
9 February 2010 15:15 in E101
We prove the upper bound of p-adic multiple zeta (resp. L-) value spaces.
This is a p-adic analogue of Goncharov, Terasoma, and Deligne-Goncharov's result (resp. Deligne-Goncharov's result).
In the proof, we use the motivic Galois group of the Tannakian category of mixed Tate motives over Z (resp. over a ring of S-integers of a cyclotomic field).
We also formulate a p-adic analogue of Grothendieck's conjecture on a special element in the motivic Galois group.