Doliwa A. Non-commutative integrable discrete systems of a geometric origin, talk at The Workshop on Geometry of PDEs and Integrability, 14-18 October 2013, Teplice nad Becvou, Czech Republic (abstract): Difference between revisions
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| title = Non-commutative integrable discrete systems of a geometric origin | | title = Non-commutative integrable discrete systems of a geometric origin | ||
| 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. | | 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. | ||
| slides = | | slides = [[Media:Doliwa A. Non-commutative integrable discrete systems of a geometric origin (presentation at The Workshop on Geometry of PDEs and Integrability, 14-18 October 2013, Teplice nad Becvou, Czech Republic).pdf|Doliwa A. Non-commutative integrable discrete systems of a geometric origin (presentation at The Workshop on Geometry of PDEs and Integrability, 14-18 October 2013, Teplice nad Becvou, Czech Republic).pdf]] | ||
| references = | | references = | ||
| 79YY-MM-DD = 7986-89-85 | | 79YY-MM-DD = 7986-89-85 | ||
}} | }} | ||
Latest revision as of 13:49, 13 November 2013
Speaker: Adam Doliwa
Title: Non-commutative integrable discrete systems of a geometric origin
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.