2 problems

Let $F \colon \mathcal{J} \to \mathcal{S}$ be lax symmetric monoidal, and let $\Theta^1F$ denote its first derivative spectrum. First derivative multiplication conjecture. The spec…

Untwisted multiplication conjecture. The maps constructed from the monoidal structure make $\widetilde{\Theta^n}F$ into a nonunital $E_\infty$-ring spectrum.