5 problems

Braunfeld's monadic NIP orbit-growth conjecture. For a countable $c9$-categorical structure $c4$, $c4$ is monadically NIP if and only if

Let $\mathcal{H}:=\mathcal{H}_{g}(k_{1},\dots,k_{s})$ be a stratum, and let $(\mathcal{G}_{n})_{n}$ be a family of $\operatorname{SL}(2,\mathbb{Z})$-orbit graphs of primitive $n$-s…

Primitive intermediate-growth conjecture. If a primitive $c9$-categorical structure $c4$ satisfies

Slowest-growth conjecture. If an $c9$-categorical structure $c4$ is not interpretable in $(\mathbb Q;<)$, then

Uniform orbit conjecture. There is a constant $C=C(s,d)$ such that, whenever $|S|=s$ and $S\supseteq S_\infty$,