Geometry of Bäcklund Transformations

Geometry/topology Seminar

Yuhao Hu (Duke University)

Monday, November 20, 2017 -
3:15pm to 4:15pm
119 Physics

Starting with a surface with negative constant Gauss curvature in the Euclidean 3-space, it is possible to (nontrivially) generate an infinitude of such surfaces by solving ODE systems alone. This fact, established by Bäcklund in the late 19th century, is one of the earliest-known examples of a Bäcklund transformation. The past century has seen rich interplay between Bäcklund transformations, integrable systems and soliton theory. However, a classification of Bäcklund transformations remains largely unknown. In this talk, I will discuss some recent progress on the classification of certain types Bäcklund transformations.

Last updated: 2017/11/23 - 4:21am