The K3 category of a cubic fourfold -- an update

Abstract

We revisit the paper with the same title from a few years back, review subsequent developments and highlight some open questions. The exposition avoids the more technical points and concentrates on the main ideas and the overall picture.

15 pages. Notes of a talk delivered at the prize ceremony of the Compositio Foundation in Berlin on 10 February 2022. Minor changes. Reference added to a paper by Russo and Stagliano proving rationality fro d=42