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SUMMARY:Pavel Drozdov: Coalgebra symmetry approach and applications to dis
crete integrability
DTSTART:20240430T083000Z
DTEND:20240430T093000Z
DTSTAMP:20240622T133300Z
UID:indico-event-11727@indico.math.cnrs.fr
DESCRIPTION:The coalgebra symmetry method\, developed by [Ballestreros et
al\, 1996] is one of the most fruitful techniques to produce systematicall
y an N-dimensional Hamiltonian integrable system from a 1-dimensional syst
em. This method has been recently adapted for discrete-time systems [Gubbi
otti et al\, 2023]. In this talk\, I will review the methodology itself an
d share our recent developments concerning the application of formalism to
the two-photon Lie algebra hâ‚†. In particular\, we give necessary and su
fficient conditions for a system of difference equations in quasi-standard
form to admit a coalgebra symmetry with respect to the two-photon Lie alg
ebra. Some integrable examples are discussed within this framework.\n\nhtt
ps://indico.math.cnrs.fr/event/11727/
LOCATION:Salle 318 (IMB)
URL:https://indico.math.cnrs.fr/event/11727/
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