Видеотека: S. Rybakov, Constructible DG-modules over the de Rham algebra

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Международный симпозиум «Arithmetic Days in Moscow» 14 июня 2011 г. 15:30, г. Москва, МИАН

Constructible DG-modules over the de Rham algebra S. Rybakov^ab ^a IITP ^b Independent University of Moscow
Аннотация: 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. Язык доклада: английский