ICTS:32602

Loop groups and harmonic maps-I

(2025). Loop groups and harmonic maps-I. SciVideos. https://scivideos.org/index.php/icts-tifr/32602

Loop groups and harmonic maps-I. SciVideos, Aug. 21, 2025, https://scivideos.org/index.php/icts-tifr/32602 

          @misc{ scivideos_ICTS:32602,
            doi = {},
            url = {https://scivideos.org/index.php/icts-tifr/32602},
            author = {},
            keywords = {},
            language = {en},
            title = {Loop groups and harmonic maps-I},
            publisher = {},
            year = {2025},
            month = {aug},
            note = {ICTS:32602 see, \url{https://scivideos.org/index.php/icts-tifr/32602}}
          }
Franz Pedit
Talk numberICTS:32602
Source RepositoryICTS-TIFR

Abstract

In these two lectures I will explain how loop groups and loop algebras can be used to express the equations for a harmonic map of a Riemann surface into a symmetric space by meromorphic data---a generalized Weierstrass representation. I will discuss how to apply this method to special situations such as the construction of constant mean curvature surfaces in the 3-sphere. The lectures are intended as an introduction into this topic.