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Dipartimento di Matematica ''F. Casorati''

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The stability manifold of local orbifold elliptic quotients

Franco Rota (Rutgers University)

Sala Riunioni al piano C - Monday, July 22, 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.



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