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International symposium "Arithmetic days in Moscow"
June 14, 2011 15:30, Moscow, Steklov Mathematical Institute
 


Constructible DG-modules over the de Rham algebra

S. Rybakovab

a IITP
b Independent University of Moscow
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S. Rybakov


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Abstract: Positselski proved that the unbounded derived category of quasi-coherent D-modules on a smooth algebraic variety $X$ is equivalent to a so-called coderived category of quasi-coherent DG-modules over the de Rham algebra of $X$. First I will explain how to work with the coderived category in question. Then I introduce constructible DG-modules. They form a nice subcategory of the coderived category. It turns out that constructible DG-modules correspond to holonomic D-modules under Positselski equivalence.

Language: English

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