Kuznetsov components of Fano threefolds
De Arend Bayer
I will give an overview of recent results on Kuznetsov components of Fano threefolds. I will emphasize how they help organise the classification and moduli spaces of prime Fano threefolds. The results are based on Bridgeland stability conditions, Brill-Noether loci, and enhanced equivariant categories.