Summer School: Introduction to the geometry of jet spaces and nonlinear differential equations

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29 June - 6 July 2014, Wisła, Beskid Mountains, Poland

School Photography

The summer school is organized by the Baltic Institute of Mathematics.

Lecturers: Joseph Krasil'shchik (Silesian University in Opava and Independent University of Moscow) and Alexander Verbovetsky (Independent University of Moscow)


0. Introduction: smooth manifolds, vector bundles, distributions.

1. Jets of bundles. Nonlinear differential operators.

2. The Cartan distribution.

3. Geometry of the Cartan distribution. Lie transformations. Contact transformations.

4. Lie-Bäcklund Theorem.

5. Nonlinear differential equations. Prolongations. Infinite jets.

6. Evolutionary derivations and higher symmetries.

7. Examples of computation.

8. Applications: integrability of ODEs in quadratures and Lie-Bianchi Theorem.

9. Applications: invariant solutions and solitons.

For further details please see the School site and contact the Organizing Committee by the email address: