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Geometry, Symmetry and Physics Seminar

The stability manifold of local orbifold elliptic quotients

Franco Rota, Rutgers University

Location:  Serin Lab E372
Date & time: Thursday, 03 October 2019 at 11:00AM - 12:00PM

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 stabilitymanifold 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.

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