The stability manifold of local orbifold elliptic quotients
Franco Rota (Rutgers University)
Sala Riunioni al piano C – Lunedì 22 Luglio 2019 h.15:00
Abstract. Mirror symmetry predicts a relation between the stability manifold of an object X and the moduli space of its mirror. We focus on the case where X is a (stacky) quotient of an elliptic curve: in this case, a component of the stability manifold maps as a covering space onto the universal unfolding space of the mirror singularity. This phenomenon is regulated by an elliptic Dynkin diagram, and its description requires a study of the McKay correspondence and of wall-crossing phenomena.