Friday, February 21, 14:00, 7.527
Jan Stovicek (Prague), Semiorthogonal decompositions for gentle algebras

Abstract:
Gentle algebras constitute a class of finite dimensional algebras which naturally arise in rather diverse contexts and whose representation theory is non-trivial but accessible. In this talk, I will explain a classification of semiorthogonal decompositions of their bounded derived categories obtained in joint work with Jakub Kopriva (arXiv:2209.14496). It is given by certain cuts of the surface attached to a gentle algebra in the work of Baur and Coelho Simoes (arXiv:1803.05802, published in IMRN, 2021), and Opper, Plamondon and Schroll (arXiv:1801.09659).