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SUMMARY:On q-Painlevé VI and the Geometry of Segre surfaces
DTSTART;VALUE=DATE-TIME:20230619T143000Z
DTEND;VALUE=DATE-TIME:20230619T150000Z
DTSTAMP;VALUE=DATE-TIME:20260914T054054Z
UID:indico-contribution-16-39@cern.ch
DESCRIPTION:Speakers: Dr. ROFFELSEN\, Pieter (The University of Sydney)\nF
 or each of the differential Painlevé equations\, the Riemann-Hilbert corr
 espondence maps its solution space onto an affine cubic surface. In recent
  work with Nalini Joshi\, a q-analog was established for the q-Painlevé V
 I equation\, where the associated algebraic surface is an affine Segre sur
 face. In this talk\, I will discuss this result and explain how the geomet
 ry of the Segre surface relates to different aspects of the q-Painlevé VI
  equation.\n\nhttp://indico.fuw.edu.pl/contributionDisplay.py?contribId=39
 &sessionId=16&confId=67
LOCATION:Faculty of Physics\, University of Warsaw Lecture hall: 0.06
URL:http://indico.fuw.edu.pl/contributionDisplay.py?contribId=39&sessionId
 =16&confId=67
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BEGIN:VEVENT
SUMMARY:Recurrence relations for the generalized Laguerre and Charlier ort
 hogonal polynomials and discrete Painlevé equations
DTSTART;VALUE=DATE-TIME:20230619T153000Z
DTEND;VALUE=DATE-TIME:20230619T160000Z
DTSTAMP;VALUE=DATE-TIME:20260914T054054Z
UID:indico-contribution-16-38@cern.ch
DESCRIPTION:Speakers: Dr. DZHAMAY\, Anton (University of Northern Colorado
 \, USA and BIMSA\, China)\nWe consider two examples of certain recurrence 
 relations\, or nonlinear discrete dynamical systems\, that appear in the t
 heory of orthogonal polynomials\, from the point of view of Sakai’s geom
 etric theory of Painlevé equations. Of particular interest is the fact th
 at both recurrences are regularized on the same family of rational algebra
 ic surfaces\, but at the same time their dynamics are non-equivalent. This
  is a joint work with Galina Filipuk\, Xing Li\, and Da-jun Zhang.\n\nhttp
 ://indico.fuw.edu.pl/contributionDisplay.py?contribId=38&sessionId=16&conf
 Id=67
LOCATION:Faculty of Physics\, University of Warsaw Lecture hall: 0.06
URL:http://indico.fuw.edu.pl/contributionDisplay.py?contribId=38&sessionId
 =16&confId=67
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BEGIN:VEVENT
SUMMARY:A 3×3 Lax form for  the q-Painlevé equation of type E_6
DTSTART;VALUE=DATE-TIME:20230619T160000Z
DTEND;VALUE=DATE-TIME:20230619T162000Z
DTSTAMP;VALUE=DATE-TIME:20260914T054054Z
UID:indico-contribution-16-20@cern.ch
DESCRIPTION:Speakers: Ms. PARK\, Kanam (Associate Professor)\nFor the q-Pa
 inlevé  equation with affine Weyl group symmetry of type E_6^{(1)}\, a 2
 ×2  matrix Lax form and  a second order scalar lax form were known.  \nIn
  this talk\, we give a 3×3 matrix  Lax form and  a third order scalar equ
 ation related to it. They seems to be new.\n\nhttp://indico.fuw.edu.pl/con
 tributionDisplay.py?contribId=20&sessionId=16&confId=67
LOCATION:Faculty of Physics\, University of Warsaw Lecture hall: 0.06
URL:http://indico.fuw.edu.pl/contributionDisplay.py?contribId=20&sessionId
 =16&confId=67
END:VEVENT
BEGIN:VEVENT
SUMMARY:An affine Weyl group action on the basic hypergeometric series ari
 sing from the $q$-Garnier system
DTSTART;VALUE=DATE-TIME:20230619T150000Z
DTEND;VALUE=DATE-TIME:20230619T153000Z
DTSTAMP;VALUE=DATE-TIME:20260914T054054Z
UID:indico-contribution-16-14@cern.ch
DESCRIPTION:Speakers: Prof. SUZUKI\, Takao (Kindai University)\nThe Garnie
 r system is an extension of the sixth Painlev\\'e equation from a viewpoin
 t of the isomonodromy deformation of a Fuchsian system.\nIts $q$-differenc
 e analogue was proposed by Sakai as the connection preserving deformation 
 of a linear $q$-difference system.\nRecently\, we formulated the $q$-Garni
 er system in a framework of an extended affine Weyl group of type $A^{(1)}
 _{2n+1}\\times A^{(1)}_1\\times A^{(1)}_1$.\nOn the other hand\, the $q$-G
 arnier system admits a particular solution in terms of the basic hypergeom
 etric series ${}_{n+1}\\phi_n$.\nThen it becomes the next problem to inves
 tigate an action of the extended affine Weyl group on ${}_{n+1}\\phi_n$.\n
 In this talk\, we give an answer to this problem.\nNamely\, we give a left
  action of a subgroup of the extended affine Weyl group on a vector whose 
 components are described in terms of ${}_{n+1}\\phi_n$.\nHence $q$-contigu
 ity relations and a linear $q$-difference equation for ${}_{n+1}\\phi_n$ c
 an be derived from the extended affine Weyl group systematically.\n\nhttp:
 //indico.fuw.edu.pl/contributionDisplay.py?contribId=14&sessionId=16&confI
 d=67
LOCATION:Faculty of Physics\, University of Warsaw Lecture hall: 0.06
URL:http://indico.fuw.edu.pl/contributionDisplay.py?contribId=14&sessionId
 =16&confId=67
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