Title: Hamiltonian Local Models for Symplectic Derived Stacks
Speaker: Chris Brav, IAS
Date: Wednesday, October 30, 2013
Time: 10:00am – 11:15am
Place: Seminar Room 313, Simons Center
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Abstract: We show that a derived stack with symplectic form of negative degree can be locally described in terms of generalised Darboux coordinates and a Hamiltonian cohomological vector field. As a consequence we see that the classical moduli stack of vector bundles on a Calabi-Yau threefold admits an atlas consisting of critical loci of regular functions on smooth varieties, and similarly for the stack of maps from an elliptic curve to a symplectic variety. This is joint work with Ben-Bassat, Bussi and Joyce.