PIRSA:12050026

A Geometric Framework for Integrable Systems

APA

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

MLA

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

BibTex

          @misc{ scivideos_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 for Theoretical Physics},
            year = {2012},
            month = {may},
            note = {PIRSA:12050026 see, \url{https://scivideos.org/index.php/pirsa/12050026}}
          }
          

Chuu-Lian Terng University of California, Irvine

Talk numberPIRSA:12050026
Source RepositoryPIRSA
Talk Type Conference

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.