Fortnightly links (148)

FD-Atlas is a big survey-in-progress about finite-dimensional algebras, being written by Jan Schröer. When I see something like the diagrams on pages 12–17 my fingers start to itch, as this looks like an ideal website project. Stay tuned for possible news (but don't expect anything any time soon!)

Gavin Brown, Tom Coates, Alessio Corti, Tom Ducat, Liana Heuberger, Alexander Kasprzyk: Computation and data in the classification of Fano varieties is a really nice survey on the classification of $\mathbb{Q}$-Fano threefolds. It's a great short read, and nicely explains various things that happen on grdb.co.uk.

Arend Bayer, Alexander Perry: Kuznetsov's Fano threefold conjecture via K3 categories and enhanced group actions shows how to fix Kuznetsov's conjecture on the interesting components of certain Fano 3-folds, by showing that they are never equivalent but that they are related by a deformation. They way to prove this is really interesting, and I strongly recommend reading at least the introduction.