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Categorical dynamics: from Hopfield to Pareto

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Matilde Marcolli
Tue, 08/03/2022 - 13:45 - 15:30

This talk is part of the Algebra, Geometry and Physics Seminar (MPIM/HU Berlin), host Gaetan Borot,

In recent work with Yuri Manin, we proposed a model of neural information networks based on functorial assignments of resources to networks, originating in Segal's notion of summing functors and Gamma spaces, and a corresponding categorical form of Hopfield equations on networks.
I will review some properties and examples of such categorical framework and dynamics, and I will show how it can be applied to a form of Pareto optimization.

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