| Résume | Abstract: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 illustrate a new and very effective
technique based on deformations. A key ingredient is a general result
about deformations of bounded t-structures (and with some additional
and mild assumptions). Two remarkable applications are the
construction of stability conditions for very general abelian
varieties in any dimension and for some irreducible holomorphic
symplectic manifolds, again in all possible dimensions. This is joint
work with C. Li, E. Macri' and X. Zhao. |
