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SUMMARY:Integrable deformation of ...
DTSTART;VALUE=DATE-TIME:20230619T133000Z
DTEND;VALUE=DATE-TIME:20230619T140000Z
DTSTAMP;VALUE=DATE-TIME:20260617T185839Z
UID:indico-contribution-33@cern.ch
DESCRIPTION:Speakers: Mr. KIM\, Wookyung (Lancaster University)\nAn integr
 able deformation of a cluster map is an integrable Poisson map which is co
 mposed of a sequence of deformed cluster mutations\, namely\, parametric b
 irational maps preserving the presymplectic form but destroying the Lauren
 t property\, which is a necessary part of the structure of a cluster algeb
 ra. However\, this does not imply that the deformed map does not arise fro
 m a cluster map: one can use so-called Laurentification\, which is a lifti
 ng of the map into a higher-dimensional space where the Laurent property i
 s recovered\, and thus the deformed map can be generated from elements in 
 a cluster algebra. This deformation theory was introduced recently by Hone
  and Kouloukas\, who presented several examples\, including deformed integ
 rable cluster maps associated to Dynkin types A_2\,A_3 and A_4. In this ta
 lk\, we will consider the deformation of integrable cluster map correspond
 ing to the general even dimensional case\, Dynkin type A_{2N}.\n\nhttp://i
 ndico.fuw.edu.pl/contributionDisplay.py?contribId=33&sessionId=13&confId=6
 7
LOCATION:Faculty of Physics\, University of Warsaw Lecture hall: 0.06
URL:http://indico.fuw.edu.pl/contributionDisplay.py?contribId=33&sessionId
 =13&confId=67
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