Positive Solutions of Polynomial Systems Arising from Real-life Applications (24w5197)


(University of Copenhagen)

Frederic Bihan (Université Savoie Mont Blanc)

(TU Braunschweig)

(University of Buenos Aires)


The Institute of Mathematics at the University of Granada will host the "Positive Solutions of Polynomial Systems Arising from Real-life Applications" workshop at the University of Granada (IMAG) in Spain, from May 19 - 24, 2024.

Models in the sciences and engineering are frequently expressed as solution sets to systems of polynomial equations. This is a basic notion in algebraic geometry, a vibrant key area of mathematics which is particularly good at counting, giving structure to interesting sets and, principally, understanding structure. The study of these models has benefited from the development of computer algebra systems over the last decades, making theoretical results applicable in real scenarios such as biology, computer science, physics, chemistry, etc.

However, models of reality are often concerned with real solutions, or even positive real solutions, the defining polynomials are typically parametric, and the number of variables and parameters is often very large. This poses new challenges to the field of (real) algebraic geometry, which existing techniques fall short to overcome. The goal of the workshop is to bring together researchers with expertise in real algebraic geometry and the applications to facilitate the exchange of knowledge and ideas. With this we aim at discovering and starting new directions to solve the real-world problems, as well as new theories to be developed within mathematics.

The Banff International Research Station for Mathematical Innovation and Discovery (BIRS) is a collaborative Canada-US-Mexico venture that provides an environment for creative interaction as well as the exchange of ideas, knowledge, and methods within the Mathematical Sciences, with related disciplines and with industry. BIRS is supported by Canada's Natural Science and Engineering Research Council (NSERC), the U.S. National Science Foundation (NSF), Alberta's Advanced Education and Technology, and Mexico's Consejo Nacional de Ciencia y Tecnología (CONACYT).