9 problems

Let $Y$ be a Calabi–Yau orbifold and let $\widetilde{Y}\to Y$ be a crepant resolution. Orbifold–resolution conjecture. There is a constant $C(\widetilde{Y}/Y)$, depending only on t…

Point-counting conjecture. For all $\nu\ge 1$,

Let $A$ be an $n\times n$ Berglund–Hübsch matrix over $\mathbb F_p$, with $n\ge 3$, and let $G$ be a subgroup of $G_A$ such that $J\in G\cap G^T$. Assume … Let $X_A$ be the hypersu…

Let $f$ be a quasi-homogeneous polynomial determining a Calabi–Yau orbifold, and let the monodromy-invariant part of the corresponding Landau–Ginzburg model carry its Landau–Ginzbu…

Calabi–Yau 1-fold quasi-modularity conjecture. The ancestor Gromov–Witten correlation functions defined above are quasi-modular forms. This is the one-dimensional formulation of th…

Let $\mathcal{X}$ be a compact Calabi–Yau orbifold, and let its Gromov–Witten invariants be assembled into generating functions in the relevant degree and marking variables. Folklo…

Assume $W$ satisfies the Calabi–Yau condition and $G$ is a subgroup with $\langle j_W\rangle\subseteq G\subseteq\operatorname{Aut}(W)$. Consider the $\operatorname{Aut}(W)$-invaria…

Let $(W,G)$ be of Calabi–Yau type: $W$ is nondegenerate, not necessarily invertible, with weights $q_j$ satisfying … and $G$ contains $\langle j_W\rangle$ and lies in $SL_W$. Set…

Let $W$ be an invertible polynomial and let $G\subseteq\operatorname{Aut}(W)$ be of Calabi–Yau type, meaning that $\langle j_W\rangle\subseteq G\subseteq SL_W$. Set…