PIRSA:12050026

A Geometric Framework for Integrable Systems

Terng, C. (2012). A Geometric Framework for Integrable Systems. Perimeter Institute. https://pirsa.org/12050026

Terng, Chuu-Lian. A Geometric Framework for Integrable Systems. Perimeter Institute, May. 06, 2012, https://pirsa.org/12050026 

          @misc{ pirsa_PIRSA:12050026,
            doi = {10.48660/12050026},
            url = {https://pirsa.org/12050026},
            author = {Terng, Chuu-Lian},
            keywords = {Mathematical physics},
            language = {en},
            title = {A Geometric Framework for Integrable Systems},
            publisher = {Perimeter Institute},
            year = {2012},
            month = {may},
            note = {PIRSA:12050026 see, \url{https://pirsa.org}}
          }

Chuu-Lian Terng University of California, Irvine

DOI 10.48660/12050026
Collection
Talk Type Conference
Subject

Abstract

I will discuss some joint work with K. Uhlenbeck. There is a general method for constructing soliton hierarchies from a splitting of Lie algebras. We explain how formal scattering and inverse scattering, Hamiltonian structures, commuting conservation laws, Backlund transformations, tau functions, and Virasoro actions on tau functions can all be constructed in a uni ed way from such splittings.