arXiv 0801.47602008-01-30math.AGmath-phmath.KTmath.MP

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

Maxim Kontsevich

备注：: Lecture notes for the Solomon Lefschetz Memorial Lecture Series, September 8-9, 2005 by Maxim Kontsevich at Cinvestav, Mexico. Notes by Ernesto Lupercio. http://www.math.cinvestav.mx/KontsevichEnglish.htm. To appear in Contemporary Mathematics

英文摘要：

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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