6 problems

Let $A\subset N=\mathbb Z^d$ be a finite set contained in an integral hyperplane at distance $1$ from the origin, let $Q=\operatorname{conv}(A)$, and let $X=X_{\mathbb L}$ be the t…

Let $A\subset N=\mathbb Z^d$ and $Q=\operatorname{conv}(A)$, and let $F$ be an edge of the secondary polytope. Let $Z_F$ be the associated space, let $n_{\Gamma,F}$ be the multipli…

Let $\operatorname{Sph}$ be the $\infty$-category formed by spherical adjunctions, and let ${\mathcal{S}}t_{\Lambda_\infty}^{\operatorname{adm},\,2\text{-Segal}}$ be the $\infty$-c…

Let $F:{\boldsymbol{\text{A}}}\to{\boldsymbol{\text{B}}}$ be an exact functor between stable $\infty$-categories, and let $S_\bullet(F)$ denote its relative $S$-construction. The c…

Cotwist conjecture. There is a commutative diagram in $\operatorname{LinCat}_R$ identifying $T_{\operatorname{Fun}(S^n,\operatorname{RMod}_R)}$ under the equivalence…

Let $W$ be a mirror Calabi–Yau threefold admitting a K3 fibration $\pi\colon W\to\mathbb{P}^1$. The fibration gives a right derived pullback functor … Suppose a degeneration of the…