3 problems

Kuznetsov–Shinder conjecture. Any pair of projective, simply connected, smooth, derived equivalent varieties are L-equivalent.

Let $X$ and $Y$ be cubic fourfolds over the complex numbers. Their Kuznetsov components are the admissible subcategories $\mathcal{A}_X$ and $\mathcal{A}_Y$ in the semiorthogonal d…

Let $X$ and $Y$ be smooth projective simply connected varieties. They are L-equivalent if $[X]-[Y]$ vanishes in the localization…