2 problems

Let $\beta\in\mathrm{Br}^{+}_{n}$ be a positive braid word, let $\mathrm{BS}(\beta)$ be the associated double Bott–Samelson variety, and let $\mathcal{D}(\mathrm{BS}(\beta))$ denot…

Fix a Borel subgroup $B\subset G$ and a sequence $I=(i_1,\ldots,i_\ell)$ of simple roots defining the Bott–Samelson variety $R_I$. Let $P_v(\mathcal L)$ be the Okounkov body of a l…