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I give the details of some conjectures regarding Schubert calculus in Lietypes B and D. Specifically, I conjecture rules for Schubert structureconstants $c_{u,v}^w$ when $X_{w_0u}^v$ is a Richardson variety stable underthe spherical Levi subgroup $\C^* \times SO(n-2,\C)$ of $SO(n,\C)$.

Some conjectures regarding certain Schubert structure constants in Lie types B and D