5 problems

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

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

Even-$n$, degree-two consequence. For every even $n$, $(n,2)$-HSFs do not exist.

Limiting Gotsman–Linial conjecture. The average sensitivity satisfies

Asymptotic Gotsman–Linial conjecture. There is an upper bound