ICTS

Geometric analysis has emerged as one of the most dynamic research areas over the past several decades. This field captivates scholars by exploring geometric problems through the lens of analytical tools and differential equations, showcasing an intriguing interplay between these disciplines. The subject encompasses a wide spectrum of topics, each requiring a unique approach, as there is no single unifying theory to resolve all challenges. The partial differential equations (PDEs) arising in these fields are notably diverse. For example, questions related to conformal geometry pertain to elliptic equations. Likewise, the Ricci flow, pivotal to the resolution of the renowned Poincaré conjecture, is classified as a nonlinear parabolic PDE. Additionally, various equations stemming from the general theory of relativity exhibit hyperbolic characteristics. These distinctions highlight that the mathematical tools necessary for addressing different problems vary greatly.

In this workshop, we aim to delve deeply into several key themes lying within the fascinating realm of nonlinear elliptic and parabolic equations and the calculus of variations. We will cover essential topics such as conformal geometry, harmonic maps, isoperimetric problems, the Ginzburg-Landau system, and mass transport problems.

We welcome everyone to join us in this workshop and deepen our understanding of these fascinating subjects.

Eligibility: Any student/postdoc/researcher/faculty who is interested in the theme of the program is eligible to apply.

ICTS is committed to building an environment that is inclusive, non-discriminatory and welcoming of diverse individuals. We especially encourage the participation of women and other under-represented groups.