Morning Session

Title: A survey on diffeology: theory and examples

By:   Patrick Iglesias-Zemmour

        (The Hebrew University of Jerusalem)

Abstract:

      I will try to draw a portrait of the theory, its domains of application. I will underline the points that make a difference with the other smooth differential categories. (the public is assumed to be familiar with differential calculus)

Afrernoon Session

Title: Differential Forms On Stratified Spaces

By:   Serap Gürer

        (Galatasaray University)

Abstract:

      First, we extend the notion of stratified spaces to diffeology. Then we characterise the subspace of stratified differential forms, or zero-perverse forms in the sense of Goresky-MacPherson, which can be extended smoothly into differential forms on the whole space. For that we introduce an index which outlines the behaviour of the perverse forms on the neighbourhood of the singular strata.

Title: Smooth homotopy of diffeological spaces I

By:   Hiroshi Kihara

        (University of Aizu)

Abstract: