3 problems

Let $G$ be a definably compact group, let $G^{00}$ denote its type-definable connected component, and let $\widetilde{G^{00}}$ be the corresponding closed subspace of the spectral…

Let $K$ be a field, let $n$ be a positive integer, and let $G$ act on the infinite affine space ${\mathbb A}^n_{K,\infty}$. Write $\textnormal{KQ}({\mathbb A}^n_{K,\infty}/G)$ for…

Spectrality conjecture. The Ziegler spectrum over the ring of algebraic integers $\mathbb{A}$ is a spectral space.