Birs- 17w5118: $p$-adic Cohomology and Arithmetic Applications

  1. Title:
    Compatible systems of Galois representations of global function fields

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  2. Title:
    Rigid systems and integrality

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  3. Title:
    Arithmetic structures in sheaves of differential operators on formal schemes and D-affinity

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  4. Title:
    Integral Monsky-Washnitzer and overconvergent de Rham-Witt cohomology

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  5. Title:
    Higher algebra and arithmetic

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  6. Title:
    On de Jong conjecture

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  7. Title:
    Mirror symmetry for moduli spaces of Higgs bundles via $p$-adic integration

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  8. Title:
    Rings of arithmetic differential operators on tubes

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  9. Title:
    Rational motivic path spaces

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  10. Title:
    Rank 2 $F$-isocrystals and abelian varieties

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  11. Title:
    Formal deformations of crystals and arithmetic applications

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  12. Title:
    Atkin and Swinnerton-Dyer congruences for toric hypersurfaces

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  13. Title:
    Update on the companion problem

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  14. Title:
    Serre-Tate theory for Shimura varieties of Hodge type

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  15. Title:
    A quantum Simpson correspondence

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  16. Title:
    Computing zeta functions of nondegenerate toric hypersurfaces

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  17. Title:
    Slope filtrations of $F$-isocrystals, log decay, and genus stability for towers of curves

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