2 problems

Conjecture. For every smooth quasi-projective variety $X$, … The lower bound $\operatorname{Rdim}D^b(X)\geq\dim X$ is known quite generally. The difficult direction is to construct…

Let $M$ be a smooth manifold, and let $\operatorname{Cuplength}(M)$ denote the cuplength of $H^*(M;k)$ for any field $k$. Let $\mathcal C(M)$ denote the wrapped Fukaya category ass…