3 problems

Let $(W,\langle J\rangle)$ be an admissible LG pair of general type with index $\nu>0$. For each integer $\ell\in\{1-\nu,\ldots,0\}$, let ${\mathbb C}(\ell)^{\rm st}$ denote the co…

Let $X$ be an $n$-dimensional smooth Fano variety satisfying $h^{p,q}(X)=0$ for every $p\ne q$. Let $\widetilde\mu=\dim_{\mathbb C}\bigoplus_{p\in\mathbb Z}H^p(X;\mathbb C)$, let…

Let $X$ be a weak Fano orbifold such that $D^b\operatorname{Coh}(X)$ admits a full exceptional collection. The Galkin–Golyshev–Iritani conjecture. The Gamma integral structure shou…