Introduction to the geometry of jet spaces and nonlinear differential equations

Event Details

  • Date:

June, 29 -  July, 6 
Wisła, Beskid Mountains, Poland
Lectures by Joseph Krasil’shchik, Alexander Verbovetsky​

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.

Participation fee is 200 EUR. The fee covers lodging (in multiple rooms – 3-4 beds – with private bathroom), meals and lectures.
Please complete the Registration Form to attend the school

Financial Support
We expect that some support will be available to fund students and other young researchers, specially underrepresented students.

If you are requesting financial support, please complete the Registration form and send a pdf of your CV as soon as possible.
The deadline to apply for financial support is June 10, 2014.

The Organizing Committee can be contacted for any question and suggestion via the e-mail adress: