6 problems

Let $\Gmr$ be a finite group and let $p$ be a prime. For each $i$, let $\Ecal^{(p^i)}_{\Gmr,p}$ be the collection of integral $\uprho_{\Gmr}$-stable $\Hmr\underline{\FF}_p$-Euleria…

Let $F$ be a field. Write $\mathcal{A}^{\star,\star}_{F}$ for the algebra of motivic Steenrod operations and $H\mathbb{F}_{p,F}^{\star,\star}H\mathbb{F}_{p,F}$ for the correspondin…

p-curvature conjecture. The equivariant quantum Steenrod operator satisfies

Steenrod-operation polynomiality conjecture. $H^{\star}(K_{r\sigma+s})$ is a polynomial algebra on certain classes

Mirror-duality conjecture. The diagram

Fix $m$ and let … and … Here the $a_{m,2,k'}$ are the invariants introduced for the $n=2$ case, and Steenrod operations act on them. Steenrod-generation conjecture. Every element o…