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Henrique Bursztyn : Reduction in generalized complex geometry

Generalized complex structures, introduced by Hitchin in 2003, interpolate between symplectic and complex structures. In this talk, I will discuss a reduction procedure unifying symplectic reduction and holomorphic quotients. In general, this reduction procedure presents new features that will be illustrated in examples (e.g., the generalized reduction of a symplectic structure can be complex, and 3-form twists can appear in the quotient). If time permits, I will also discuss a super-geometric viewpoint to generalized reduction.

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