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Poisson structures on moduli spaces of complexes

Le : 03/10/2017 15h30
Par : Alexander Polishchuk (University of Oregon)
Lieu : I 001
Lien web :
Résumé : This is a joint work with Zheng Hua. In this work we explain the origin of some well known Poisson structures associated with elliptic curve, including those studied by Feigin-Odesskii and by Nevins-Stafford, from the point of view of derived geometry. Namely, we present a natural construction of a (1-d)-shifted Poisson structure over the moduli stack of complexes of vector bundles over a Calabi-Yau variety of dimension d. In the case of elliptic curves we also calculate symplectic leaves of these Poisson structures.