Skip to main content

Categorical dynamics: from Hopfield to Pareto

Posted in
Speaker: 
Matilde Marcolli
Zugehörigkeit: 
Caltech
Datum: 
Die, 08/03/2022 - 13:45 - 15:30

This talk is part of the Algebra, Geometry and Physics Seminar (MPIM/HU Berlin), host Gaetan Borot,
contact: gaetan.borot@hu-berlin.de

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.

© MPI f. Mathematik, Bonn Impressum & Datenschutz
-A A +A