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 recently emerged area of mathematics and theoretical physics: Secondary Calculus. A diffiety is a new 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. It appears that it is the only natural language of quantum physics, just as the standard calculus is for classical physics.
Wednesday, July 15, 2009 - 10:00pm to Friday, July 31, 2009 - 9:59pm
Santo Stefano del Sole, Avellino, Italy