In mathematics, the Goncharov conjecture is a conjecture introduced by Goncharov (1995) suggesting that the cohomology of certain motivic complexes coincides with pieces of K-groups.
It extends a conjecture due to Zagier (1991).
Goncharov defined the following complex called
: He conjectured that i-th cohomology of this complex is isomorphic to the motivic cohomology group
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