Connections Between Geometry and Partial Differential Equations

Explore the intricate connections between geometry and partial differential equations in this 43-minute lecture by Tobias Holck Colding from the Massachusetts Institute of Technology. Delve into the fascinating interplay between these two mathematical disciplines, gaining insights into how geometric principles influence the behavior of PDEs and vice versa. Discover key concepts, theorems, and applications that highlight the symbiotic relationship between geometry and PDEs, enhancing your understanding of both fields. Presented as part of the Fields Institute's activities, this talk offers a unique opportunity to expand your mathematical knowledge and appreciate the elegant intersections of these fundamental areas of study.