2 problems

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The exact-sequence conjecture for connected linear algebraic groups over number fields
Exact-sequence conjecture. The exact sequence $(R')$ holds for any connected linear algebraic group $G$ over any number field $k$ .
Conjectureopenalgebraic-groups number-fields r-equivalencearXiv posted 2 days ago
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The ^1-connectedness conjecture for reductive algebraic groups
The conjecture. For every field extension $F$ of $k$ ,
Conjectureopena1-homotopy algebraic-groups r-equivalencearXiv posted 2 days ago

The exact-sequence conjecture for connected linear algebraic groups over number fields