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BEGIN:VEVENT
SUMMARY:On Hamiltonian structures of quasi-Painleve equations
DTSTART;VALUE=DATE-TIME:20230623T093000Z
DTEND;VALUE=DATE-TIME:20230623T100000Z
DTSTAMP;VALUE=DATE-TIME:20260502T002346Z
UID:indico-contribution-8-3@cern.ch
DESCRIPTION:Speakers: Dr. FILIPUK\, Galina (University of Warsaw)\nThe qua
 si-Painleve property of a system of ordinary differential\nequations\, her
 e meaning the condition that movable singularities reachable by analytic c
 ontinuation along finite length curves are at worst algebraic branch point
 s\, is described in terms of global Hamiltonian structures on an analogue 
 of Okamoto’s spaces of initial conditions for the Painleve equations.  T
 his is a joint work with A. Stokes (Japan).\n\nhttp://indico.fuw.edu.pl/co
 ntributionDisplay.py?contribId=3&sessionId=8&confId=67
LOCATION:Faculty of Physics\, University of Warsaw Lecture hall: 0.06
URL:http://indico.fuw.edu.pl/contributionDisplay.py?contribId=3&sessionId=
 8&confId=67
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BEGIN:VEVENT
SUMMARY:A Weighted and Elliptic extension of Fibonacci numbers
DTSTART;VALUE=DATE-TIME:20230623T103000Z
DTEND;VALUE=DATE-TIME:20230623T110000Z
DTSTAMP;VALUE=DATE-TIME:20260502T002346Z
UID:indico-contribution-8-30@cern.ch
DESCRIPTION:Speakers: Ms. KUMARI\, Archna (Indian Institute of Technology\
 , Delhi\, India)\nWe extend Fibonacci numbers with arbitrary weights and g
 eneralize a dozen Fibonacci identities. As a special case\, we propose an 
 elliptic extension which extends the $q$-Fibonacci polynomials appearing i
 n Schur's work. The proofs of most of the identities are combinatorial\, e
 xtending the proofs given by Benjamin and Quinn\, and in the $q$ case\, by
  Garrett.  Some identities are proved by telescoping.\n\nhttp://indico.fuw
 .edu.pl/contributionDisplay.py?contribId=30&sessionId=8&confId=67
LOCATION:Faculty of Physics\, University of Warsaw Lecture hall: 0.06
URL:http://indico.fuw.edu.pl/contributionDisplay.py?contribId=30&sessionId
 =8&confId=67
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BEGIN:VEVENT
SUMMARY:Expansion formulas for multiple basic hypergeometric series over r
 oot systems
DTSTART;VALUE=DATE-TIME:20230623T100000Z
DTEND;VALUE=DATE-TIME:20230623T103000Z
DTSTAMP;VALUE=DATE-TIME:20260502T002346Z
UID:indico-contribution-8-29@cern.ch
DESCRIPTION:Speakers: Ms. RAI\, SURBHI (RESEARCH SCHOLAR\, IIT DELHI)\nWe 
 extend the expansion formulas of Liu given in 2013 to the context of multi
 ple series over root systems. Liu and others have shown the usefulness of 
 these formulas in Special Functions and number-theoretic contexts. We exte
 nd Wang and Ma’s generalizations of Liu’s work which they obtained usi
 ng q-Lagrange inversion. We use the A_n and C_n Bailey transformation and 
 other summation theorems due to Gustafson\, Milne\, Lilly\, and others\, f
 rom the theory of A_n\, C_n and D_n basic hypergeometric series. Our inten
 t here is to provide several infinite families of extensions of Liu’s ke
 y formulas to multiple basic hypergeometric series over the root systems.\
 nThis work was done in collaboration with Dr Gaurav Bhatnagar.\n\nKeywords
 :\nU(n +1)basic hypergeometric series\nA_n and C_n basic hypergeometric se
 ries\nA_n and C_n Bailey transform\nq-Lagrange inversion\n\nhttp://indico.
 fuw.edu.pl/contributionDisplay.py?contribId=29&sessionId=8&confId=67
LOCATION:Faculty of Physics\, University of Warsaw Lecture hall: 0.06
URL:http://indico.fuw.edu.pl/contributionDisplay.py?contribId=29&sessionId
 =8&confId=67
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