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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:20240414T163956Z
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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