The best thing in my life in the study was that in the joint work with Spencer Bloch, we formulated so called Tamagawa number conjecture on L-functions of motives. This conjecture is now generalized to the equivariant version which is understood as noncommutative Iwasawa theory of motives. In my talk, I will show how to prove a very special case of the main conjecture of the non-commutative Iwasawa theory of totally real fields.