Fields- Graduate Course on Hodge Theory in String Theory

  1. Title:
    An introduction to Hodge theory

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  2. Title:
    Variations of Hodge structure and the period map

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  3. Title:
    Degenerations of Hodge structures

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  4. Title:
    Introduction to nonabelian Hodge theory: Higgs bundles and local sytems I

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  5. Title:
    Introduction to nonabelian Hodge theory: Higgs bundles and local systems II

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  6. Title:
    Picard numbers of quintic surfaces

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  7. Title:
    Classical period domains (1)

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  8. Title:
    64 Lines on quartic surfaces

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  9. Title:
    Algebraic and arithmetic properties of period maps (1)

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  10. Title:
    Period domains and their differential geometry revisited (1)

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  11. Title:
    Algebraic and arithmetic properties of period maps (2)

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  12. Title:
    The Kuga–Satake construction

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  13. Title:
    Period domains and their differential geometry revisited (2)

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  14. Title:
    Algebraic and arithmetic properties of period maps (3)

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