2024 OIST Workshop

Geometric Aspects of Partial Differential Equations

January 15 - 18, 2024

Nowadays an increasingly close connection has been developed between partial differential equations and geometry. The past years have witnessed applications of PDEs to a wide variety of geometry related problems arising in both pure mathematics and applied sciences such as isoperimetric problems, surface evolution, control theory, image processing, and optimal transport. On the other hand, geometric analysis also provides many novel techniques to help us understand fundamental properties of PDEs including convex structure, spectral information and asymptotic behavior. 

The purpose of this workshop is to present recent progress and new trends in PDEs from geometric perspectives. It aims to bring together the world’s leading experts and provide an international forum for researchers who are interested in this field. We plan to discuss various topics on PDEs with emphasis on geometric aspects including convexity of solutions, shape analysis, asymptotic behavior, eigenvalue problems, overdetermined problems, geometric functional inequalities, etc. With an interdisciplinary scope, this workshop also pays attention to numerous applications of recent PDE results to other related areas.

Organizers: Kazuhiro Ishige (University of Tokyo), Qing Liu (OIST), Paolo Salani (University of Florence)