3 problems

Higher Verlinde fibre conjecture. All symmetric tensor categories of moderate growth fibre over $\mathsf{Ver}_{p^\infty}$. If so, the study of such categories would reduce, via the…

Steinberg tensor product conjecture. Any irreducible representation of $G$ is uniquely a tensor product of a one-irreducible representation and one inflated from $G_0$.

Let $p$) be a prime number, and let $\mathbb{G}(-)$ be an affine group scheme over the $p$-adic integers $\mathbb{Z}_p$. For each $n\geq 1$, let $K$ be a field of characteristic…