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Hodge theory for curves

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  • UserThomas Prince (Imperial College)
  • ClockFriday 16 October 2015, 15:00-16:00
  • HouseMR13.

If you have a question about this talk, please contact Christian Lund.

Hodge structures enrich the cohomology of a variety with a filtration dependent on the complex structure, providing a very rich geometric invariant and an essential tool in many areas of modern algebraic geometry. By studying hyperelliptic curves we can introduce a number of important tools and techniques very geometrically and very explicitly. We will cover topics from a subset of: Period domains and the Siegel upper half space, Picard-Fuchs equations, Torelli theorems and the Abel-Jacobi map, degenerations of Hodge structures and mixed Hodge structures from log poles. In particular I hope this will be accessible for beginning graduate students but also of general interest.

This talk is part of the Junior Geometry Seminar series.

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