Summer school Wisla 18: nonlinear PDEs, their geometry, and applications.
Recent results in the theory of nonlinear PDEs, their geometry, and applications will be presented. The coursers will stress a role of geometrical methods and especially methods of contact geometry to study nonlinear PDEs and methods of their integrability. Various methods of finding and using symmetries and conservation laws will be presented. Especially the following topics will be emphasized: methods of integrability and finding smooth and singular solutions (shock waves). All these methods will be illustrated by applications to fluid mechanics, field, and quantum theory, etc.
The school will provide young researchers an opportunity to interact with their colleagues: each participant could make a talk about recent research or to present a poster. Each participant will get an independent and constructive feedback on her/his current research and future research directions.