Infinite-dimensional Geometry and Integrable PDEs - Part 1

Learn about integrable systems through an advanced mathematics lecture that explores the intersection of infinite-dimensional geometry and partial differential equations (PDEs). Delve into fundamental concepts presented at the Erwin Schrödinger International Institute for Mathematics and Physics as part of their Thematic Programme on "Infinite-dimensional Geometry: Theory and Applications." Examine the geometric perspective of integrable systems theory through detailed mathematical discussions and derivations during this one-hour presentation, which serves as the first installment in exploring these complex mathematical structures.