KASS seminar

Abstract: Following general themes in complex geometry, Dervan-McCarthy-Sektnan have proposed a class of partial differential equations (PDEs) which are expected to be differential geometric counterparts of algebro-geometric stability conditions associated to moduli problems parametrising coherent sheaves on projective varieties. In this talk, I will explain how recent progress on Nakai-Moishezon type numerical criteria for the solvability of these equations for line bundles allows us to deduce a locally finite wall-chamber structure on the space of such PDEs, an expectation coming from algebraic geometry. This is joint work with Sjöström Dyrefelt.