Adam Clay

Dimension and The Fundamental Group Of Manifold

Date Friday, November 21, 2014

In this talk I will discuss some properties of the fundamental group that are influenced by the dimension of the underlying manifold. For example, we know exactly what groups will arise as the fundamental group of a 1 or 2 dimensional manifold, because the manifolds in these dimensions are completely classified. On the other hand, if we’re given a k-manifold where k>2, what special properties of its fundamental group can we expect for particular values of k? This talk is based on notes of Stefan Friedl.