Methods of Mathematical Physics have always been inspired by the results in (Differential and Algebraic) Geometry. In the second half of the 20th century we witnessed the opposite phenomenon: the ideas from Physics have found their way into Geometry and many other branches of Mathematics and proved to be fruitful and influential there. One of the central concepts, around which this interaction has been revolving, is Integrability. The conference is intended to bring together leading specialists in these fields to promote the collaboration and exchange of ideas.