Title: The scheaf of distributions
Abstract: Originally distributions were introduced in PDE-theory to generalize the notion of functions. However, this analytical concept also has some purely algebraic properties, which are worth considered.
In particular, they are an important example of sheaves in differential geometry. In this talk we are going to discuss two views on distributions and their connections. On one hand, distributions can be considered as generalized densities (a broader version of the determinant) and on the other hand as generalized functions. The latter, as we are going to show, form a sheaf, which gives us an insight on the sheaf-structure of distributions.
