Event calendar file
19-23 June 2023
Faculty of Physics, University of Warsaw
Europe/Warsaw timezone
Yang-Baxter and tetrahedron equations
Place
Location: Faculty of Physics, University of Warsaw
Address: Pasteura 5, Warsaw
Room: Lecture hall: 0.06
Date:
19 Jun 11:30 - 13:00
Timetable | Contribution List
Displaying 3
contributions
out of
3
I will present certain birational maps that are solutions of the parametric entwining
Yang-Baxter equation. These maps are obtained via the refactorisation problem of
certain Darboux transformations associated with the Lax operators of certain soliton
PDEs. I will also present various dynamical properties of the derived maps, such
as existence of invariants and associated symplectic or Poisson
... More
Presented by Dr. Georgios PAPAMIKOS
on
19/06/2023
at
10:00
I will discuss a connection between the tetrahedron equation for maps
and the consistency property of integrable discrete equations on
$\mathbb{Z}^3$. The connection is based on the invariants of symmetry
groups of the lattice equations, generalizing a method developed in the
context of Yang-Baxter maps. The method will be demonstrated to certain
octahedron type lattice equations, leading to
... More
Presented by Dr. Anastasios TONGAS
on
19/06/2023
at
09:30
The talk will discuss the emergence of factorised solutions of the Yang-Baxter equation in terms of transposition operators acting in q-difference (differential) representations of the algebra Uq(sln) (U(sln)), respectively. I will focus on the q-deformed case, where all but one of the transposition operators are constructed explicitly and the proof of a crucial symmetric group relation introduces
... More
Presented by Mr. Benjamin MORRIS
on
19/06/2023
at
10:30
