Séminaires : Séminaire d'Algèbre

In this talk; we discuss the classification problem of spherical “like” objects in various geometric settings including the minimal resolution of an ADE surface singularity and a 3-fold flopping contraction. The classification of spherical objects is related to questions about the autoequivalence groups or Bridgeland stability conditions, but in 3-fold settings, this is not alway a correct problem to ask. In the first half of the talk, we discuss what kind of objects should be classified, and in the second half, a sketch of the proof will be explained. Our new technique can also be applied to the heart of a bounded t-structure, and classifies all t-structures of the associated null category. As a corollary, the connectedness of the space of stability conditions follows. This is all joint work with Michael Wemyss.

This talk will take place on Zoom only.