2 problems

Standardly embedded subgroup uniqueness conjecture. Up to conjugation by an element of $N_L(K)$, a spherical subgroup $H\subset G$ standardly embedded in $P$ is uniquely determined…

Trapa's conjecture. In type $B$, all such Schubert constants $c_{u,v}^w$ are $0$, $1$, or $2$, with $c_{u,v}^w=0$ only if $w\cdot\gamma(u,v)\ne\gamma_0$; $c_{u,v}^w=2$ only if…