Finiteness conjecture for genera of algebraic groups

Let $G$ be an absolutely almost simple simply connected algebraic group over a finitely generated field $K$ of characteristic zero, or over a field of good characteristic relative to $G$. A $K$-form $H$ of $G$ is compared with $G$ by the isomorphism classes of their maximal $K$-tori. Finiteness conjecture for genera. There should exist a finite collection $G_1,\ldots,G_r$ of $K$-forms of $G$ such that every $K$-form $H$ of $G$ having the same isomorphism classes of maximal $K$-tori as $G$ is $K$-isomorphic to one of the $G_i$. This is presented as a natural generalization of finiteness results for genera of central division algebras; no resolution is given.