Goncharov conjecture

The Goncharov conjecture is a hypothesis in the field of algebraic geometry and number theory, proposed by Russian mathematician Alexander Goncharov. It concerns the behavior of certain algebraic cycles in the context of motives, which are a central concept in modern algebraic geometry. Specifically, the conjecture deals with the relationships between Chow groups, which are groups that classify algebraic cycles on a variety, and their connection to motives.