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SUMMARY:The principle of transfer and integrable discrete systems.
DTSTART;VALUE=DATE-TIME:20230619T083000Z
DTEND;VALUE=DATE-TIME:20230619T090000Z
DTSTAMP;VALUE=DATE-TIME:20260525T114415Z
UID:indico-contribution-41@cern.ch
DESCRIPTION:Speakers: Mr. ATKINSON\, James (NA)\nThere is Hesse's principl
 e of transfer: the transfer of geometric assertions from one dimension int
 o another\, facilitated by the fact that the projective subgroup stabilisi
 ng a normal curve is isomorphic in every dimension. When space is coordina
 tised via a normal curve\, geometric assertions become SL2-invariant equat
 ions\, as opposed to homogeneous equations if a simplex is used. Although 
 examples of KP\, KdV and Painleve type are unified in this way\, the relat
 ion should not be confused with dimensional reduction via integrable const
 raints\, which places the systems\, and the dimensions\, into a hierarchy.
  Rather it is a path to understand the invariant geometric origin of the i
 ntegrability. I will explain the integrable multi-quadratic quad-equations
  from this geometric point of view.\n\nhttp://indico.fuw.edu.pl/contributi
 onDisplay.py?contribId=41&sessionId=3&confId=67
LOCATION:Faculty of Physics\, University of Warsaw Lecture hall: 0.06
URL:http://indico.fuw.edu.pl/contributionDisplay.py?contribId=41&sessionId
 =3&confId=67
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