6 problems

Boundedness of $B$-canonical representations. There exist positive integers $B_l$ and $B'_l$ such that

Index bound conjecture.

Let $s_0=2$ and $s_m=s_{m-1}(s_{m-1}-1)+1$ for $m\geq 1$ be Sylvester's sequence. For a positive integer $n$, let $X$ be the $n$-fold given by the canonical Calabi–Yau hypersurface…

A three-dimensional canonical singularity is a canonical singularity of complex dimension three, and a 5d SCFT is a five-dimensional superconformal field theory with eight supercha…

Let $X$ be a normal projective variety with mild singularities, such as canonical singularities, such that $K_X$ is $\mathbb{Q}$-Cartier and nef. Write $\kappa(X)$ for the Kodaira…

A canonical singularity is a singularity in the sense of the minimal model framework, and a non-compact Calabi–Yau threefold is a non-compact three-dimensional Calabi–Yau variety.…