5 problems

Consider the universal map $\Phi_{{\text{\rm\tiny geo}}}^{\mathrm{Novikov}}$ induced by $\Phi_{{\text{\rm\tiny geo}}}$ after taking the operad quotient … in the construction given…

Let $\mathfrak{L}$ be the index set, let $T$ be the pre-Lie algebra constructed from multi-indices over $\mathfrak{L}$, and let $D$ be its derivation-type pre-Lie product. Write…

Specialness conjecture. For every Novikov algebra $V$, the commutator GD-algebra $V^{(-)}$ is special.

Polynomiality and monodromy-invariance conjecture. Under these hypotheses, every function $u^i(\boldsymbol{v})$ belongs to the invariant polynomial ring…

Let $\mathbb{A}_n$ be a Novikov algebra, and let the associated equations of hydrodynamic type be the dispersionless systems constructed from that algebra, such as the system descr…