6 problems

Tseng--You's root-stack conjecture. The orbifold Gromov--Witten theory of ${\mathsf X}_r$ is determined by the orbifold Gromov--Witten theories of ${\mathsf X}$ and $\mathsf D$, to…

Let $X$ be a smooth projective variety, let $D=D_1+\cdots+D_n$ be an effective reduced normal crossing divisor with smooth, irreducible, nef components, and let $I_1,\ldots,I_m$ pa…

Large-root stabilization and polynomiality conjecture. Genus-zero orbifold Gromov–Witten invariants of $X_{D,\vec r}$, after multiplication by suitable powers of the $r_i$, stabili…

Let $\mathcal{X}$ be a Deligne–Mumford stack, let $\mathcal{D}\subset\mathcal{X}$ be a smooth irreducible divisor, and let $\mathcal{X}_r$ be the stack of $r$-th roots of…

Root-stack Gromov–Witten determination conjecture. The Gromov–Witten theory of $\mathcal{X}_r$ is determined by the Gromov–Witten theory of $X$, $D$, and the restriction map…

Let $X_k$ be the ALE space, let ${\mathscr X}_k$ be its associated root stack with divisor ${\mathscr D}_\infty$, and let ${\mathcal F}_\infty^{0,\vec w}$ be the framing data index…