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SUMMARY:Some non-commutative integrable systems from Desargues maps - Doli
 wa\, A (University of Warmia and Mazury)
DTSTART:20130709T103000Z
DTEND:20130709T110000Z
UID:TALK46143@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:We investigate periodic reductions of Desargues maps\, which l
 ead to novel integrable multicomponent lattice systems being non-commutati
 ve\, non-isosectral\, and non-autonomous analogues of the modified Gel'fan
 d Dikii hierarchy. The equations are multidimensionally consistent\, and w
 e present the corresponding geometric systems of Lax pairs. We clarify the
  origin and appearance of functions of single variables\, whose presence i
 s indispensable in making further reductions to lattice Painlev equations.
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LOCATION:Seminar Room 1\, Newton Institute
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