Geometry/topology Seminar
Monday, November 20, 2017, 3:15pm, 119 Physics
Yuhao Hu (Duke University)
Geometry of Bäcklund Transformations
Abstract:- 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. [video]
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