Title	An algebraic background for construction of hierarchies of PDE in dimension (2\|1)
Creator	Roger, Claude
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2016-06-16T11:01
Description	In d=2 with variables (x,t), the superalgebraic trick of adding a supplementary odd variable allows the construction of a "square root of time", an operator D satisfying D^2=∂/∂t in superspace of dimension (2\|1). We used it to obtain a Miura transform in dimension (2\|1) for non stationary Schrödinger type operators. We shall discuss here the construction of an algebra of pseudodifferential symbols in dimension (2\|1); that algebra generalizes the one for d=1, used in construction of hierarchies from isospectral deformations of stationary Schrödinger type operators.
Extent	42 minutes
Subject	Mathematics; Dynamical systems and ergodic theory; Ordinary differential equations; Dynamical systems
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Universite Claude Bernard ( Lyon 1)
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2017-01-28
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0340388
URI	http://hdl.handle.net/2429/60033
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

Open Collections

BIRS Workshop Lecture Videos