A Geometric Framework for Integrable Systems
APA
Terng, C. (2012). A Geometric Framework for Integrable Systems. Perimeter Institute. https://pirsa.org/12050026
MLA
Terng, Chuu-Lian. A Geometric Framework for Integrable Systems. Perimeter Institute, May. 06, 2012, https://pirsa.org/12050026
BibTex
@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}} }
University of California, Irvine
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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.