Neuroalgebraic geometry

In this talk I will introduce the main topics about the new field of research called Neuroalgebraic Geometry. In particular I will focus on the definitions, results (and conjectures) contained in the papers - J. Kileel, M. Tranger, J. Bruna, On the Expressive Power of Deep Polynomial Neural Networks, (2019). - K. Kubjas, J. Li, M. Wiesmann, Geometry of polynomial neural networks, (2024). - G. L. Marchetti, V. Shahverdi, S. Mereta, M. Trager, K. Kohn, An Invitation to Neuroalgebraic Geometry, (2025). and I will talk also about my recent results on it and a list of suggested problems.