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BEGIN:VEVENT
SUMMARY:Consistency for 5-point lattice equations
DTSTART;VALUE=DATE-TIME:20230619T080000Z
DTEND;VALUE=DATE-TIME:20230619T083000Z
DTSTAMP;VALUE=DATE-TIME:20260916T220005Z
UID:indico-contribution-3-74@cern.ch
DESCRIPTION:Speakers: Dr. KELS\, Andrew (UNSW)\nIn this talk\, we present 
 some details of how to implement the consistency scheme for 5-point lattic
 e equations broadly introduced in the talk by Wolfgang Schief.  We will al
 so present some other formulations of consistency for 5-point lattice equa
 tions\, particularly for equations in a hexagonal lattice.  Time permittin
 g we will also present consistent multicomponent 5-point equations and con
 sistency of related equations in lattices of dimension greater than 2.\n\n
 http://indico.fuw.edu.pl/contributionDisplay.py?contribId=74&sessionId=3&c
 onfId=67
LOCATION:Faculty of Physics\, University of Warsaw Lecture hall: 0.06
URL:http://indico.fuw.edu.pl/contributionDisplay.py?contribId=74&sessionId
 =3&confId=67
END:VEVENT
BEGIN:VEVENT
SUMMARY:Consistency of discrete equations on lattices of type D
DTSTART;VALUE=DATE-TIME:20230619T073000Z
DTEND;VALUE=DATE-TIME:20230619T080000Z
DTSTAMP;VALUE=DATE-TIME:20260916T220005Z
UID:indico-contribution-3-65@cern.ch
DESCRIPTION:Speakers: Prof. SCHIEF\, Wolfgang (University of New South Wal
 es)\nConsistency of discrete equations on higher dimensional lattices cons
 titutes a central element of integrable systems theory. The consistency of
  discrete equations defined on the squares and cubes of lattices of type B
  and the octahedra of lattices of type A have been studied extensively and
  with great success. However\, it appears that the consistency of discrete
  equations naturally defined on lattices of type D or discrete equations w
 hich are defined on a larger number of vertices of a lattice has been expl
 ored to a significantly lesser degree. In this talk\, we present some thou
 ghts on this matter and illustrate them by considering linear and nonlinea
 r (5-point) Laplace-type equations\, a nonlinear 14-point equation and the
  9-point (generalised) discrete Tzitzeica equation. Coincidentally\, two P
 olish connections will be made.\n\nhttp://indico.fuw.edu.pl/contributionDi
 splay.py?contribId=65&sessionId=3&confId=67
LOCATION:Faculty of Physics\, University of Warsaw Lecture hall: 0.06
URL:http://indico.fuw.edu.pl/contributionDisplay.py?contribId=65&sessionId
 =3&confId=67
END:VEVENT
BEGIN:VEVENT
SUMMARY:The principle of transfer and integrable discrete systems.
DTSTART;VALUE=DATE-TIME:20230619T083000Z
DTEND;VALUE=DATE-TIME:20230619T090000Z
DTSTAMP;VALUE=DATE-TIME:20260916T220005Z
UID:indico-contribution-3-41@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
END:VEVENT
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