2 problems

Ultimate-dimension finiteness conjecture. If the ultimate dimensions of $\mathcal A$ and $\mathcal B$ are finite, then the ultimate dimension of $\mathcal T$ is finite. The source…

Let $X$ be a smooth algebraic variety, and let … be a semi-orthogonal decomposition of $\operatorname{D}^{\operatorname{b}}(\operatorname{coh} X)$. A gap conjecture for semi-orthog…