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International conference «Categorical and analytic invariants in Algebraic geometry 3»
September 12, 2016 12:20–13:20, Moscow
 


Towards logarithmic Hochschild complex

A. I. Efimov

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
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Abstract: We will explain how to reconstruct the log de Rham complex (more precisely, its mixed version) of a smooth algebraic variety from the DG category of perfect complexes. The construction works for an arbitrary DG category and is functorial. It uses non-commutative K-motives. The main ingredient is Quillen's Devissage Theorem. We will also explain how to obtain the weight filtration via Bondarko's weight structures on triangulated categories.

Language: English

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