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Title:
Symplectic algebraic geometry and 2-categorification
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Abstract:
This is a joint work with A. Oblomkov. It often happens that (1) an algebra A is categorified by coherent sheaves over a symplectic variety, (2) its generators are represented by sheaves supported on Lagrangian subvarieties and (3) the cones in the r.h.s. of the structure relations split. We conjecture that in this case the algebra admits a 2-categorification and present an outline of its construction.
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