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Modules over deformation quantization (NAGRT) March 15, 2013 (01:00 PM PDT - 01:45 PM PDT)
Parent Program: --
Location: MSRI: Simons Auditorium
Speaker(s) Jeremy Pecharich (NASA Jet Propulsion Laboratory (JPL))
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Let X be a holomorphic symplectic variety and F a coherent sheaf on X. Then a natural question to ask is if we take a deformation quantization of X can we also quantize the coherent sheaf F? We give an answer to this question, up to order 2, when the coherent sheaf is a direct image of a vector bundle supported on a smooth subvariety. If time permits we will also construct BV differentials on Tor and Ext groups between modules which admit quantizations. This is joint work with V.Baranovsky and V. Ginzburg.

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