2 problems

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Homotopy conjecture for the Fukaya category completion functors
Let $\mathcal{N}(\bar{X},F_{0})$ be the Fukaya-type category and let $\widehat{\mathcal{W}}_{F}$ be its categorical formal completion. Suppose that…
Conjectureopenformal-completion fukaya-categories infinity-categoriesarXiv posted 2 days ago
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Tight extension conjecture for valuations
Tight extension conjecture. The valuation $nu$ admits at least one tight extension $hat\nu_-$ . It can be chosen so that, for rings $R'$ sufficiently far in $cal T$ ,
Conjectureopenformal-completion local-uniformization valuation-theoryarXiv posted 2 days ago

Homotopy conjecture for the Fukaya category completion functors