**20 jul 2017 - 31 jul 2017**

Lizzano in Belvedere (BO), Italy

The aim of this permanent School is to introduce undergraduate and Ph. D. students in Mathematics and Physics as well as post-doctoral researchers in a specific area of Mathematics and Teoretical Physics: SECONDARY CALCULUS. A diffiety is a geometrical object that properly formalizes the concept of the solution space of a given system of (nonlinear) PDEs, much as an algebraic variety does with respect to solutions of a given system of algebraic equations. Secondary Calculus is a natural diffiety analogue of the standard calculus on smooth manifolds, and as such leads to a very rich general theory of nonlinear PDEs. Moreover, it appears to be a natural language for quantum physics, just as the standard calculus is the natural language for classical physics. The school is organized under the scientific direction of Prof. A. M. Vinogradov (Istituto Levi-Civita, Italy).

**Organizers:**
Romolo Marchioni, Rita Riccioni, Luca Vitagliano.

**Speakers:**
Alexandre Vinogradov, Luca Vitagliano.