English

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

Algebraic Geometry 2008-02-01 v1 Mathematical Physics K-Theory and Homology math.MP

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.

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Cite

@article{arxiv.0801.4760,
  title  = {XI Solomon Lefschetz Memorial Lecture Series: Hodge structures in non-commutative geometry. (Notes by Ernesto Lupercio)},
  author = {Maxim Kontsevich},
  journal= {arXiv preprint arXiv:0801.4760},
  year   = {2008}
}

Comments

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