Abstract: Nash manifolds are smooth semi-algebraic manifolds, for example smooth subsets of R^n defined by polynomial equalities and inequalities. One can say that the Nash geometry is a mixture of differential and algebraic geometries. Schwartz functions are smooth functions that decay faster than any inverse power of a polynomial and so do all their derivatives. A tempered distribution is a functional on the space of Schwartz functions. I will tell the definitions and basic properties of these notions, and talk about their behavior under the group action. I will also present some applications in representation theory, which motivates my work on the subject.

Coffee will be served at 12:00 before the lecture
at Schreiber building 006