The next meeting of the Differential Equations and Mathematical Physics Seminar will be held on July 1, 2024, at 2:00 pm, in Room 578 of IMI - BAS and online in Zoom. A talk on p-Adic Numbers, Neural Networks, Deep Learning, and Statistical Field Theories will be delivered by Prof. W. A. Zuniga-Galindo from University of Texas Rio Grande Valley. ABSTRACT The talk aims to glimpse our recent research work on the mathematical foundations of hierarchical neural networks.  I plan to cover the following topics: (1) the non-Archimedean Wilson-Cowan Model; (2) p-adic Cellular Neural Networks; (3) p-Adic Statistical Field Theory and Deep Boltzmann Machines. In the first part of the talk, I present a hierarchical version of the Wilson-Cowan model, one of the most relevant [...]