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January 7, 2022


Posted by John Baez

The Topos Institute has a new seminar:

The talks will be streamed and also recorded on YouTube.

It’s a new seminar series on the mathematics of interacting systems, their composition, and their behavior. Split in equal parts theory and applications, we are particularly interested in category-theoretic tools to make sense of information-processing or adaptive systems, or those that stand in a ‘bidirectional’ relationship to some environment. We aim to bring together researchers from different communities, who may already be using similar-but-different tools, in order to improve our own interaction.


Although by no means an exhaustive or prescriptive list, Intercats seminar topics are likely to be related to the following mathematical topics:

  • Generalized lenses, optics, and related structures, such as Chu spaces or Dialectica categories;

  • polynomial functors, and their associated ecosystem;

  • applications of the foregoing to:

    • bidirectional processes,

    • dynamical systems,

    • wiring diagrams,

    • open games,

    • database theory,

    • automatic differentiation,

    • computational statistics,

    • machine learning.


Jules Hedges, University of Strathclyde

David Spivak, Topos Institute

Toby St Clere Smithe, Topos Institute

Posted at January 7, 2022 5:55 AM UTC

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