Prof. Dr. Thomas Schick, Universität Göttingen, Vortrag: Coarse geometry and index theory
Thursday, 08.11.2012 16:30 im Raum M5
Abstract: Geometric differential operators like the Laplace operator, Dolbeaut operator or Dirac operator play an important role in modern geometry, most prominently their index. Coarse geometry uses C* -algebra methods to describe in particular the large scale structure of spaces. We show how these approaches naturally come together and provide new geometric insights. For the applications we will concentrate on the question of existence of Riemannian metrics of positive scalar curvature.