Marshakov A. q-difference Painleve equations: symmetries and solutions (abstract)

Speaker: Andrei Marshakov

Title: $q$-difference Painleve equations: symmetries and solutions

Abstract:
$q$-difference Painleve equations are considered as deautonomization of cluster integrable systems, where discrete flows are generated by quiver mutations. Their symmetries are given by extended affine Weyl groups, and solutions can be written in terms of Nekrasov functions for $5d$ supersymmetric gauge theories.

Slides: MarshakovTrieste2018slides.pdf

Event: Local and Nonlocal Geometry of PDEs and Integrability, 8-12 October 2018, SISSA, Trieste, Italy.
The conference in honor of Joseph Krasil'shchik's 70th birthday.