MSRI- Hot Topics: The Homological Conjectures

  1. Title:
    Singularities mod p, and singularities in mixed characteristic

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  2. Title:
    Perfectoid multiplier/test ideals and symbolic powers

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  3. Title:
    Big Cohen-Macaulay modules, morphisms of perfect complexes, and intersection theorems

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  4. Title:
    Remarks on big Cohen-Macaulay algebras and on ramification over log-regular rings

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  5. Title:
    The perfectoid Abhyankar lemma and big Cohen-Macaulay algebras

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  6. Title:
    The direct summand conjecture and its derived variant

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  7. Title:
    The Riemann extension theorem

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  8. Title:
    Adjoining p-power roots of the discriminant

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  9. Title:
    Complements on almost purity

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  10. Title:
    Almost purity

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  11. Title:
    Perfectoid spaces II

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  12. Title:
    Perfectoid spaces I

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  13. Title:
    Adic spaces II

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  14. Title:
    Adic spaces I

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  15. Title:
    Perfectoid rings

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  16. Title:
    Almost mathematics and the homological conjectures

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  17. Title:
    Perfectoid fields

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  18. Title:
    The homological conjectures: past, present, and future

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