Krasil'shchik I. On integrability in finite-dimensional coverings, talk at The Workshop on Geometry of PDEs and Integrability, 14-18 October 2013, Teplice nad Becvou, Czech Republic (abstract)

Speaker: Joseph Krasil'shchik

Title: On integrability in finite-dimensional coverings

Abstract:
Let ${\mathcal {E}}\subset J^{\infty }(\pi )$ be an equation and $\tau \colon {\tilde {\mathcal {E}}}\to {\mathcal {E}}$ be a finite-dimensional covering over it. Assume that ${\mathcal {E}}$ admits an infinite hierarchy of symmetries and/or consevation laws. We show that ${\tilde {\mathcal {E}}}$ posseses similar properties.