BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//CERN//INDICO//EN
BEGIN:VEVENT
SUMMARY:Entwinning Yang-Baxter maps and their extensions over Grassmann al
gebras
DTSTART;VALUE=DATE-TIME:20230619T100000Z
DTEND;VALUE=DATE-TIME:20230619T103000Z
DTSTAMP;VALUE=DATE-TIME:20241110T153321Z
UID:indico-contribution-68@cern.ch
DESCRIPTION:Speakers: Dr. PAPAMIKOS\, Georgios (University of Essex)\nI wi
ll present certain birational maps that are solutions of the parametric en
twining\nYang-Baxter equation. These maps are obtained via the refactorisa
tion problem of\ncertain Darboux transformations associated with the Lax o
perators of certain soliton\nPDEs. I will also present various dynamical p
roperties of the derived maps\, such\nas existence of invariants and assoc
iated symplectic or Poisson structures\, and I will\nprove their complete
integrability in the Liouville sense\, where possible. Then I will\ndescri
be the generalisation of such maps over Grassmann algebras using refactori
sation\nof products of supermatrices\, i.e. Darboux transformations with b
osonic and fermionic\nentries. I will use the analogue of the characterist
ic polynomial\, which in this non-\ncommutative setting is the characteris
tic function\, to define an analogue of a spectral\ncurve. The latter can
be used to obtain invariants of these maps involving Grassmann\nvariables.
New higher dimensional commutative maps can be obtained fixing the or-\nd
er of the Grassmann algebra Γ(n) and I will discuss integrability propert
ies of these\nderived commutative maps.\n\nhttp://indico.fuw.edu.pl/contri
butionDisplay.py?contribId=68&sessionId=4&confId=67
LOCATION:Faculty of Physics\, University of Warsaw Lecture hall: 0.06
URL:http://indico.fuw.edu.pl/contributionDisplay.py?contribId=68&sessionId
=4&confId=67
END:VEVENT
END:VCALENDAR