# PEM

## Seminar

### Symmetries and group invariant reductions of integrable equations on quad-graphs to discrete Painlev\'e equations

Seminar Room 1, Newton Institute

#### Abstract

We investigate the Lie point and generalized symmetries of certain integrable equations on quad-graphs. After introducing symmetry group techniques, we give a number of illustrative examples of discrete Painlev\'e equations arising as group invariant solutions of the relevant integrable lattice equations. The associated isomonodromic deformation problems are constructed through the symmetry reduction as well.