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DG-affinity of DQ-modules

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Speaker: 
François Petit
Affiliation: 
MPI
Date: 
Thu, 02/08/2012 - 15:00 - 16:00
Location: 
MPIM Lecture Hall
Parent event: 
MPI-Oberseminar

A classical result of Bondal and Van den Bergh states that the derived category of quasi-coherent
sheaves on a quasi-compact, quasi-separated scheme is generated by a single compact generator.
This implies the dg affinity of these schemes. After reviewing some elements of the theory of
Deformation Quantization modules (DQ-modules), I will introduce a triangulated category that
should be thought of as the deformation of the derived category of quasi-coherent sheaves
while quantizing the structure sheaf of the variety. Then, I will prove the dg affinity of DQ-modules.

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