Modul:   MAT770  Oberseminar: Algebraische Geometrie

Stability conditions in the trivial canonical bundle case: Hilbert schemes of points

Talk by Prof. Dr. Paolo Stellari

Speaker invited by: Prof. Dr. Joseph Ayoub

Date: 08.11.21  Time: 13.15 - 15.00  Room: Y27H25

The construction of stability conditions on the bounded derived category of coherent sheaves on smooth projective varieties is notoriously a difficult problem, especially when the canonical bundle is trivial. In this talk, I will review some results and techniques related to the latter setting. I will specifically concentrate on the case of Hilbert scheme of points on K3 surfaces and (as a work in progress) on generic abelian varieties of any dimension. This is joint work in progress with C. Li, E. Macri' and X. Zhao.