Seidel's quintic divisor-complement conjecture

Let $\overline{M}$ be the quintic three-fold, let $D\subset\overline{M}$ be the smooth hyperplane section used in the paper, and set $M=\overline{M}\backslash D$. Write $\operatorname{H}^0(\overline{M})$ and $\operatorname{SH}^0(M)$ for the degree-zero groups in the paper's adapted grading. Let $[D]$ be the canonical generator of $\operatorname{SH}^0(M)$ representing the Morse–Bott family of period-one closed Reeb orbits given by the fibres of $N_D\to D$. Seidel's quintic conjecture. The small quantum product

$$\star_t:\operatorname{H}^0(\overline{M})\otimes\operatorname{H}^0(\overline{M})\to\operatorname{H}^0(\overline{M})$$

encoding counts of rational curves and their multiple covers agrees with the family of deformed pair-of-pants products

$$\star_q:\operatorname{SH}^0(M)\otimes\operatorname{SH}^0(M)\to\operatorname{SH}^0(M)$$

when $q=t[D]$. The conjecture proposes a precise relationship between quantum cohomology of the quintic and symplectic cohomology of its divisor complement, potentially providing an alternative route to mirror symmetry for the quintic. It is stated without a resolution in the paper.