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Title:
Generalized Kahler geometry and noncommutative algebraic geometry
Speaker:
Abstract:
If a Kahler manifold admits a holomorphic Poisson structure, it may be deformed into a generalized Kahler structure. I will explain how a recent advance in our understanding of the generalized Kahler potential can be used to construct an accompanying deformation of the homogeneous coordinate ring into a noncommutative algebra. The mechanism will involve an alternative interpretation of Kahler geometry due to Donaldson, the notion of Morita equivalence between Poisson manifolds due to Weinstein, and the notion of a coisotropic A-brane due to Kapustin--Orlov.
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