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DQ-modules on bionic symplectic manifolds April 03, 2013 (03:30 PM PDT - 04:30 PM PDT)
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Location: MSRI: Baker Board Room
Speaker(s) Gwyn Bellamy
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Bionic symplectic manifolds are smooth symplectic varieties equipped with a particularly good action of a 2-torus.
These spaces arise naturally in geometric representation theory, for instance when studying rational Cherednik algebras or W-algebras. In this talk I will describe how one can use the bionic structure to learn a great deal about the categories of deformation-quantization modules on these spaces. For instance, one can calculate the K-theory and Hochschild (co)-homology of these categories. The talk is based on joint work in progress with C. Dodd, K. McGerty and T. Nevins.

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