XI Solomon Lefschetz Memorial Lecture Series: Hodge structures in non-commutative geometry. (Notes by Ernesto Lupercio)
arXiv:0801.4760
Abstract
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.
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