In mathematics, the Goncharov conjecture is a conjecture introduced by Goncharov suggesting that the cohomology of certain motivic complexes coincides with pieces of K-groups. It extends a conjecture due to Zagier.
Statement
Let be a field. Goncharov defined the following complex called placed in degrees :
He conjectured that -th cohomology of this complex is isomorphic to the motivic cohomology group .
Notes
References