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Topics in the geometric application of Hodge theory
Author(s)
Griffiths, Phillip
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.
Subjects
Description
Lectures given at the University of Miami, spring 2021.
File(s)
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Name
Griffith_Miami_Lectures_2021.pdf
Description
Lecture Slides
Size
611.95 KB
Format
Adobe PDF
Checksum (MD5)
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