3 problems

For a tournament $T$, let $N^+(v)$ denote the out-neighbourhood of $v$, and let $\operatorname{\overrightarrow{\omega}}(T)$ denote the clique number. The local-to-global clique-num…

Bourgain–Gamburd–Sarnak's local-to-global conjecture. The set $V_{f,t}(\mathbb P)$ is Zariski dense in $V_{f,t}$ if and only if there are no local obstructions for $V_{f,t}$.

Nadler–Tanaka's cosheaf conjecture. The functor