5 problems

Sanda–Shamoto's Dubrovin conjecture. There exists an irregular perverse schober whose nearby cycle is $D^b(X)$ and whose Hochschild decategorification gives Stokes data that is the…

Let $Y_{-C}\xleftarrow{\,l_{0,-C}\,}Y_0\xrightarrow{\,l_{0,C}\,}Y_C$ be the Schubert flop diagram for a one-dimensional face $C$ in the remaining case described in the paper. The m…

Let $\mathcal{C}$ be the poset of faces and let $X_C$ be the associated varieties, with the derived categories $D^b(X_C)$ forming the corresponding diagram. Homotopy-colimit conjec…

Let $Z$ be the variety introduced earlier in the construction, let $X_0$ be the variety associated with the zero face, and for each chamber indexed by $w$ let $X_w$ be the correspo…

Schober reconstruction conjecture. The Schober $\mathfrak{S}$, together with a stability structure on it, can be recovered from the family