4 problems

Secure-torsor counting conjecture. If $F$ is a number field, there exists $C>0$ such that

Let $k$ be a perfect field of characteristic $p>0$, let $G=\alpha_p$, and let $V$ be a finite-dimensional representation of $G$ with quotient $V/G$. Let $H=\mathbb{Z}/p\mathbb{Z}$…

Verschiebung lower-bound conjecture. The essential dimension of $G$ over $k$ satisfies

Let $k$ be a field of positive characteristic, and let $G$ be a finite commutative unipotent group scheme over $k$. Let…