2 problems

For each integer $r\geq 5$, define … The equation $Q(t,r)=0$ has a unique positive root. Irrationality conjecture. For all $r\geq 5$, this unique positive root is irrational. This…

Consider the horospherical tangent cones at infinity of symmetric spaces, with restricted root systems whose factors determine the relevant types. Regularity conjecture. The horosp…