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XVII Summer Diffiety School on the Geometry of PDEs

Month: July 2014

Date: July 18--August 2

Name: XVII Summer Diffiety School on the Geometry of PDEs

Location: Centro Culturale "Martignano", 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 specific area of mathematics and theoretical 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, there are indications that it could be a natural language for quantum physics, just as the standard calculus is for classical physics.