4 problems

Let $K$ be a $p$-adic field, let $\mathcal{X}_K$ be smooth and proper over $K$ of pure dimension $d-1$, let $n\in\mathbb Z$, and let $A$ be a locally compact abelian group in…

Non-uniformity conjecture. The implication

Generalization of compatible Weyl actions. Proposition should generalize to compatible Weyl actions of $A_G(\mathbb{C})$ and $A_{\hat{G}}(\mathbb{C})$ on these Schwartz–Bruhat func…

Aristov's conjecture. The results should generalize to an extension of Pontryagin duality from the category of compactly generated Abelian Stein groups to the category of compactly…