|Location:||MSRI: Baker Board Room|
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.