I skipped two weeks as I was visiting Tata Institute, but we're back now.
Groupe de travail : Composantes de Kuznetsov, stabilité, espaces de modules contains notes from a seminar on Kuznetsov components and moduli spaces for Bridgeland-stable objects in them.
Dylan Spence: Reconstruction of projective curves from the derived category shows how to deal with (nasty) singularities and reconstruct the curve from the derived category. Cool stuff!
Severin Barmeier, Zhengfang Wang: Deformations of path algebras of quivers with relations gives a very explicit method to describe and understand deformations of path algebras with relations, discussing many (geometric!) examples of this on the go.