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SUMMARY:Deformations of the van Diejen model
DTSTART;VALUE=DATE-TIME:20230620T093000Z
DTEND;VALUE=DATE-TIME:20230620T100000Z
DTSTAMP;VALUE=DATE-TIME:20260826T184043Z
UID:indico-contribution-22@cern.ch
DESCRIPTION:Speakers: ATAI\, Farrokh (University of Leeds)\nThe (quantum) 
 van Diejen model is an integrable many-body system defined by a family of 
 mutually commuting analytic difference operators that is known to have hyp
 eroctahedral symmetry in its variables and $E_8$ Weyl group symmetry in it
 s parameters (under certain constraint). \nIn this talk\, new generalizati
 ons of the van Diejen Hamiltonian - and some exact eigenfunctions - are pr
 esented. In particular\, I present a Chalykh-Feigin-Sergeev-Veselov type d
 eformation of the van Diejen Hamiltonian\, which is given by an analytic d
 ifference operator with two shift parameters\, along with the correspondin
 g weight function and kernel function identities.\nIf time permits\, I wil
 l also present how some (formal) eigenfunctions of this deformed van Dieje
 n model are related to elliptic hypergeometric integrals of Selberg type.\
 n\nhttp://indico.fuw.edu.pl/contributionDisplay.py?contribId=22&sessionId=
 17&confId=67
LOCATION:Faculty of Physics\, University of Warsaw Lecture hall: 0.06
URL:http://indico.fuw.edu.pl/contributionDisplay.py?contribId=22&sessionId
 =17&confId=67
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