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SUMMARY:Deatonomization of cluster integrable systems
DTSTART;VALUE=DATE-TIME:20190206T050000Z
DTEND;VALUE=DATE-TIME:20190206T060000Z
DTSTAMP;VALUE=DATE-TIME:20240224T164738Z
UID:indico-contribution-633-2628@indico.ipmu.jp
DESCRIPTION:Speakers: Mikhail Bershtein ()\nTo any Newton polygon one can
assign the cluster integrable system. The group $G$ of discrete flows acts
on the phase space\, preserving the integrals of motion of the cluster in
tegrable system. After deautonomization the action $G$ leads to $q$-differ
ence equations\, which are equations of isomonodromic deformations of line
ar $q$-difference equations. Finally\, these equations can be explicitly s
olved using Nekrasov functions of $5d$ supersymmetric gauge theory or part
ition functions of topological strings. The Seiberg-Witten curve for corre
sponding supersymmetric gauge theory and toric Calabi-Yau are constructed
from the initial Newton polygon.\n\nBased on joint works with A. Marshakov
and P. Gavrylenko.\n\nhttps://indico.ipmu.jp/event/168/contributions/2628
/
LOCATION:Lecture Hall(1F)\, Kavli IPMU
URL:https://indico.ipmu.jp/event/168/contributions/2628/
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