6 problems

Let $S$ be the polynomial ring and let $I_R$ be the ideal associated with a classifying map $\alpha\in\operatorname{SpH}_k(S)$ as in Lemma. For a spinor set $J\cup J^c$, let…

Tropical pure-spinor conjecture. The tropical pure spinor space equals the $\Delta$-Dressian:

Wick-basis conjecture. For all $n\leq 6$, the Wick relations are a tropical basis.

Cox-ring reconstruction conjecture. Equality holds in the displayed inclusion for generic $X_n$, and only two summands suffice on the right-hand side.

For the decomposition … write $e_{0,i}$ and $f_i$ for the corresponding stable multiplicities. Generating-series conjecture. The generating series are … These formulas are proposed…

Stability conjecture. The integers $e^n_{i,j}$ and $f^n_i$ are independent of $n$. This predicts stable multiplicities in the fourth symmetric power of a half-spin representation a…