Deep Currents and the Plateau problem

• Grant number: 24/19166-0
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: December 01, 2024
• End date: November 30, 2025
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Stefano Nardulli
• Grantee: Jhonatas Felix de Macedo
• Host Institution: Centro de Matemática, Computação e Cognição (CMCC). Universidade Federal do ABC (UFABC). Santo André , SP, Brazil
• Associated research grant: 21/05256-0 - Geometric variational problems: existence, regularity and geometrical characterization of the solutions, AP.JP

Abstract

In this scientific initiation project, we aim to study possible applications of Deep Learning techniques for a better understanding of the Plateau problem, and conversely, to apply techniques specific to the Plateau problem for the construction of new types of deep learning neural networks.