Toric arrangements and lattice points in convex polytopes

In the talk we shall introduce the notion of toric arrangement in an algebraic torus T and explain how to compute the cohomology of their complements by studying the structure of their coordinate rings as modules over the ring of differential operators on T.

Following ideas of Szenes and Vergne, applications will be given to the computation of the number of lattice points in a rational convex polytope.

Also, some amusing combinatorial on root systems will be explained. Joint with Claudio Procesi. (PDF file)