Non-commutative integrable discrete systems of a geometric origin

TitleNon-commutative integrable discrete systems of a geometric origin


SpeakerProf. Adam Doliwa (University of Warmia and Mazury, Poland)


Date: 4:00-5:00 pm; August 27; 2013


PlaceConference Room A404, Department of Mathematical Sciences


Abstract: We investigate periodic reductions of Desargues maps, which lead to novel integrable multicomponent lattice systems being non-commutative, non-isospectral, and non-autonomous analogues of the modified Gel'fand-Dikii hierarchy. We show directly multidimensional consistency of the equations, and we present the corresponding systems of Lax pairs.We also provide a construction of related noncommutative rational maps which satisfy the Yang-Baxter property.


ContactRunliang Lin