The aim of the conference is to bring together specialists in mathematics and mathematical physics to exchange experience and knowledge about the most recent developments in the field of finite dimensional integrable classical and quantum systems. This time we will make a special accent also on infinite-dimensional integrable systems, their relations to finite-dimensional integrable systems, mathematical physics and differential geometry.

Main topics include:

o Symplectic and Poisson geometry and integrability

o Topological structure of Liouville foliation and geometric quantisation

o Abelian varieties in algebraic integrable systems

o Integrable geodesic flows and natural Hamiltonian systems

o Lax representations, separation of variables

o Discrete integrable systems, billiards, noncommutative integrability

o Applications in mathematical physics, rigid body mechanics and
nonholonomic mechanics

o Computer algebra methods in the theory of integrable systems

o Obstractions to integrability

o Integrable systems in mathematical physics

Editions of FDIS have been taking place every other year since 2011. Previous editions have taken place in Jena (Germany) in 2011, in Luminy (France) in 2013, in Bedlewo (Poland) in 2015, and in Barcelona (Spain) in 2017.