5 problems

Limiting Gotsman–Linial conjecture. The average sensitivity satisfies

Superweak Gotsman–Linial conjecture. For some function $g$ depending only on $d$,

Asymptotic Gotsman–Linial conjecture. There is an upper bound

Gotsman–Linial conjecture. For every $(n,d)$-PTF $f$,

Exact maximal-average-sensitivity conjecture. The maximal value of $s^f$ is