Location: Fields Institute, Stewart Library
Mathematical models with variational structures have attracted signicant interest in the past few decades. Among other applications, these models successfully capture properties of superconductivity, behavior of liquid crystals, as well as inelastic behavior in solids. Variational models also appear in problems related to self-assembly and collective behavior of many-particle interactions (such as biological swarms, granular media), image processing, and dissipative flows. These problems, originating from physics, materials science, and also from biology, constantly shape contemporary mathematical research.
The main focus of the workshop will be to discuss new trends and techniques in the variational analysis of a wide range of mathematical problems, as well as to chart the current mathematical challenges in these models and to have in-depth discussions on possible routes towards overcoming these challenges. The talks by experts working on different aspects of variational models will address these challenges and reflect recent achievements emphasizing cross-disciplinary interactions between fields. The workshop will also involve Ph.D. students, postdoctoral researchers, and early-career faculty as speakers and poster presenters. The workshop will not only include invited and contributed talks, but also a poster session, panels for young scientists as well as group discussions and opportunities for meetings of young scientists with established experts.