Introduction to Wall-Crossing formulae and Riemann-Hilbert problems from Bridgeland stability conditions

Por Anna Barbieri (University of Sheffield).

Abstract: I will give a brief and gentle introduction through examples from quivers to Bridgeland stability conditions and wall-crossing formulae for invariants counting semistable objects. Such stability conditions are encoded in the formal notions of BPS structures or Kontsevich-Soibelman stability data. I will show how Riemann-Hilbert problems naturally appears in this context.