Event calendar file
19-23 June 2023
Faculty of Physics, University of Warsaw
Europe/Warsaw timezone
Deformations and integrability of cluster maps
Presented by Dr. Theodoros KOULOUKAS
on
19 Jun 2023
from
15:00
to
15:30
Session:
Cluster algebras
Content
We present parametric deformations of sequences of cluster mutations in the framework of cluster algebras, which destroy the Laurent property but preserve a presymplectic structure induced by the corresponding exchange matrix. We investigate the Liouville integrability of deformed parametric cluster maps associated with the A3 and A4 quivers by imposing suitable constraints on the parameters. We also study examples of more general types of deformed mutations associated with affine Dynkin quivers which correspond to periodic reductions of the discrete sine-Gordon equation.
Place
Location: Faculty of Physics, University of Warsaw
Address: Pasteura 5, Warsaw
Room: Lecture hall: 0.06
