Michael Wiemeler, Mathematics Münster

Title: On the homotopy type of the space of metrics of positive scalar curvature

Abstract: I will report on recent joint work with Johannes Ebert.
In this work we study the space R⁺(M) of positive scalar curvature
metrics on simply connected spin manifolds M of dimension at least 5.
We show that its homotopy type depends only on the dimension of M
and the question whether or not M admits a metric of positive scalar
curvature, i.e. whether or not R⁺(M) is non-empty. I will also discuss
a similar result for non-spin manifolds.