# 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)

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