Albert

Topics in the geometric application of Hodge theory

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dc.contributor.author Griffiths, Phillip
dc.date.accessioned 2021-04-01T17:11:11Z
dc.date.available 2021-04-01T17:11:11Z
dc.identifier.uri https://hdl.handle.net/20.500.12111/7943
dc.description Lectures given at the University of Miami, spring 2021. en_US
dc.description.abstract The classifcation of algebraic varieties is a central part of algebraic geometry. Among the common tools that are employed are birational geometry, especially using the analysis of singularities, and Hodge theory. The latter is frequently used as a sort of "black box": the cohomology of an algebraic variety has a functorial mixed Hodge structure and the formal properties of the corresponding category have very strong consequences. On the other hand, geometric structures arise naturally in Hodge theory and one aspect of this will be the focus of these lectures. This aspect originates from the fact that mixed Hodge structures have extension data expressed by linear algebra. en_US
dc.language.iso en_US en_US
dc.subject Hodge theory en_US
dc.title Topics in the geometric application of Hodge theory en_US
dc.type Lecture/speech en_US


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