XI Solomon Lefschetz Memorial Lecture Series: Hodge structures in non-commutative geometry. (Notes by Ernesto Lupercio)

Mathematics – Algebraic Geometry

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Lecture notes for the Solomon Lefschetz Memorial Lecture Series, September 8-9, 2005 by Maxim Kontsevich at Cinvestav, Mexico.

Scientific paper

Traditionally, Hodge structures are associated with complex projective
varieties. In my expository lectures I discussed a non-commutative
generalization of Hodge structures in deformation quantization and in derived
algebraic geometry.

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