Some Remarks on d-manifolds and d-bordism

Some Remarks on d-manifolds and d-bordism

Thu, 03/11/2011
12:00 		Benjamin Volk Junior Geometry and Topology Seminar Add to calendar SR2
Some Remarks on d-manifolds and d-bordism
We will give an introduction to the theory of d-manifolds, a new class of geometric objects recently/currently invented by Joyce (see http://people.maths.ox.ac.uk/joyce/dmanifolds.html). We will start from scratch, by recalling the definition of a 2-category and talking a bit about $ C^\infty $-rings, $ C^\infty $-schemes and d-spaces before giving the definition of what a d-manifold should be. We will then discuss some properties of d-manifolds, and say some words about d-manifold bordism and its applications.