Orateur
Hulya Arguz
(IST Vienna)
Description
A categorical notion of stability for objects in a triangulated category was introduced by Bridgeland. Donaldson--Thomas (DT) invariants are then defined as virtual counts of semistable objects. We will focus attention on a natural class of triangulated categories defined via the representation theory of quivers with potentials, and explain how to compute DT invariants in this case from a smaller subset of ``attractor invariants'' which are known in many cases. For this, we investigate wall-crossing in the space of stability conditions and prove a flow tree formula conjectured by Alexandrov-Pioline in this setup. This is joint work with Pierrick Bousseau.
