Birs- 21w5251: Tangent Categories and their Applications (Online)

  1. Title:
    Syntax and Semantics of Differentiation

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  2. Title:
    The World of Differential Categories: A Tutorial on Cartesian Differential Categories

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  3. Title:
    The Faa Di Bruno Construction and Skew Enrichment

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  4. Title:
    Introduction to tangent categories

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  5. Title:
    An introduction to differential bundles

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  6. Title:
    Weil spaces, and the embedding theorem for tangent categories

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  7. Title:
    Differentiation in probabilistic coherence spaces

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  8. Title:
    Automatic differentiation in PCF

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  9. Title:
    From categorical models of differentiation to topologies in vector spaces.

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  10. Title:
    A groupoid of permutation trees (with applications to the Taylor expansion of λ-terms)

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  11. Title:
    An introduction to connections in tangent categories

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  12. Title:
    The free tangent category on an affine connection

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  13. Title:
    New tangent structures for Lie algebroids and Lie groupoids

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  14. Title:
    Functor calculus

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  15. Title:
    An example of a cartesian differential category from functor calculus

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  16. Title:
    The Nilpotence Tower

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  17. Title:
    Tangent Infinity Categories

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  18. Title:
    The (higher) topos classifying $\infty$ -connected objects

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  19. Title:
    Differential programming, probably

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  20. Title:
    (with Paul Wilson) Categorical Foundations of Gradient-Based Learning

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