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Yuhao Hu : Geometry of Bäcklund Transformations
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.
- Category: Geometry and Topology
- Duration: 01:34:57
- Date: November 20, 2017 at 3:10 PM
- Views: 116
- Tags: seminar, Geometry/topology Seminar
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