UBC

Wed 19 Nov 2014, 3:15pm
Topology and related seminars
ESB 4133

Differentiable Stacks and Foliation Theory, Part II

ESB 4133
Wed 19 Nov 2014, 3:15pm4:15pm
Abstract
We will introduce infinitytopoi as generalized topological spaces, and show how using this language unifies the notion of manifold with that of etale differentiable stacks (generalized orbifolds) and their highercategorical analogues. We will then give a completely categorical description of etale stacks in terms of a representability theorem. This theorem gives a recipe for constructing moduli stacks of geometric structures, and we will explain some examples of how this produces modulistacks presented by Lie groupoids that have been well studied in the foliation theory literature. Finally, we will explain how a generalization of Segal's theorem follows which describes the homotopy type of certain classifying spaces, and will explain the connection to the classification of foliations with transverse structures.
hide

Seminar Information Pages
