On immersion formulas for soliton surfaces

02/11/2016 - 16:00
02/11/2016 - 17:30
Speaker: 
Michel Grundland, CRM & UQTR
Location: 
Concordia University, Math Help Center, room 912.00 / Library Building, 1400 de Maisonneuve Blvd. West, Montréal
Abstract: 

 This talk is devoted to a study of the connections between three different analytic descriptions for the immersion functions of 2D-surfaces, derived through the links between the following three types of symmetries:  gauge symmetries of the linear spectral problem, conformal transformations of the spectral parameter and generalized symmetries of the related integrable system. We demonstrate that the immersion formulas associated with these symmetries can be linked by gauge transformations. We illustrate the theoretical results by examples involving the sigma model equations.

This is joint work with D. Levi (University of Roma Tre) and L. Martina (University of Salento). 

Last edited by on Thu, 02/04/2016 - 15:05