About the conference

The importance of mathematical models in science and engineering is, by now, almost impossible to overshadow. Physics, biology, material sciences, social and economic sciences, as well as data science and machine learning, are just a few of the many fields where accurate mathematical models and efficient numerical methods are essential for understanding, predicting, and optimizing underlying phenomena.

At the same time, questions arising from applied sciences have long inspired deep and fundamental inquiries within pure mathematics. In this context, this conference is organized within the framework of the project “Mixed local and nonlocal equations: analytic, numerical and probabilistic aspects”, supported by the MATH-AmSud 23MATH-06 program.

The project aims to advance the study of interactions between local (integer-order) and nonlocal (fractional-order) equations. While both types of operators have been independently studied—local operators since the 19th century and nonlocal ones more recently—they have only recently been investigated in tandem. This interaction is of intrinsic mathematical interest, as local and nonlocal operators model fundamentally different behaviors (infinitesimal versus long-range interactions), and their combination offers new challenges and insights.

The workshop will address these questions from three complementary perspectives: analytical, probabilistic, and computational/numerical. The problems to be discussed are connected to diverse application areas including material science and phase transitions, game theory, image processing, population dynamics, and optimal control theory.

Organizing Committee

• Rocio Balderrama - Universidad de Buenos Aires (Argentina).

• Andrea Ceretani - Universidad de Buenos Aires (Argentina).

• Alfredo Miranda - Universidad de Buenos Aires (Argentina).