# ag.algebraic geometry – Are maximal tori conjugated locally localizable?

To let $$S$$ to be and leave a scheme $$G to S$$ to be a reductive group scheme. Then $$G$$ admits that there is a maximal torus etale-local, and two maximal tori are conjugate etale-local, according to Theorem 3.2.6 and Corollary 3.2.7 in [B. Conrad, Reductuve group schemes] http://math.stanford.edu/~conrad/papers/luminysga3.pdf.

As stated in the book under Proposition 3.1.9 and at the beginning of Chapter 4, the presence of maximum Tori Zariski locally can be achieved (cf. [SGA3, XIV, 3.20]). My question is the following

To let $$T$$ and $$T #$$ be maximum tori $$G$$ over defined $$S$$are they conjugated Zariski-local?

In my case, $$T$$ is split $$S$$, and $$S$$ is affine with $$Pic (S) = 0$$,