3 problems

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The maximal-green-sequence intersection conjecture for frayed Demazure weaves
Let $mathit{\underline{w}}=(i_1,i_2,dots,i_\ell)$ be a word, and let the frayed weave consisting only of fraying vertices be … This weave corresponds to the reversed opening sequen…
Conjectureopenbott-samelson-varieties cluster-algebras poisson-geometryarXiv posted 2 days ago
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The deep-locus conjecture for positive braid Bott–Samelson varieties
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…
Conjectureopenbott-samelson-varieties braid-groups cluster-varietiesarXiv posted 2 days ago
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String-space description conjecture for Bott–Samelson Okounkov bodies
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…
Conjectureopenbott-samelson-varieties okounkov-bodies string-polytopesarXiv posted 2 days ago

The maximal-green-sequence intersection conjecture for frayed Demazure weaves