Regensburg, March 16 - 20, 2009

Organizers: Bernd Ammann and Ulrich Bunke, Regensburg

Post-School information

• Here is the picture gallery in high resolution and in low resolution.
• The computer presentations will be published here as soon as available.
  Here are the presentations by
  • Paolo Piazza
  • Victor Nistor: Introduction to Lie manifolds, Applications, Tying loose ends and further applications.
  • James Heitsch

Speakers and Talks

James Heitsch, Illinois Univ..
Index theory for foliations
We shall first outline the K-theory approach to the longitudinal index formula for foliations and explain the GRR theorem obtained using the Chern character in Haefliger cohomology. We shall also describe a differential geometry proof of the homotopy invariance of the higher harmonic signature. This is joint work with Moulay-Tahar Benameur, Metz.
• Gilles Carron, Nantes.
  Around ellipticity of boundary conditions.
  This is a joint work with W. Ballmann and J. Brüning. We will re-introduce the notion of regular and elliptic boundary condition in a new frameworks which avoids the pseudo differential calculus and can be used in a context of lack of smoothness.
• Victor Nistor, Penn State University.
  From analysis on non-compact manifolds to boundary value problems on polyhedral domains.
  I will present the geometric and analytic properties of a class of complete Riemannian manifolds (called "Lie manifolds") that was introduced in a joint work with Ammann and Lauter. Then, I will present some applications to boundary value problems on polyhedral domains. I will also briefly explore other applications as well as some connections with C^*-algebras and, especially, Lie groupoids. See the other talks, especially the ones of of Benameur and Carron, for more on these subjects.
  My lecture will be, in part, a shortened version of my lecture at IHP, which you can read if you click on this link.
• Paolo Piazza, Rome.
  Index theory, bordism and rho-invariants
  Index theory on Galois coverings and cylindrical manifolds, higher index theory, bordism, rho-invariants and the Baum-Connes conjecture, fundamental groups with torsion. The detailed list is here.
• Thomas Schick, Göttingen.
  Index theory and positive scalar curvature.
  Atiyah-Singer index theorem and obstructions to positive scalar curvature, C^*-algebras and their K-theory, spin bordism and K-homology, Baum-Connes conjecture, stable and unstable Gromov-Lawson-Rosenberg conjecture, enlargeability and codimension 2 obstuctions to positive scalar curvature

Schedule and Lecture Room

Registered Participants

Regensburg

Registration

Accomodation

Sponsored by

• Universitätsstiftung Hans Vielberth, Regensburg
• Johannes-Kepler-Forschungszentrum für Mathematik, Regensburg
• Berufungsmittel Bernd Ammann
• DFG Schwerpunkt (1154) Globale Differentialgeometrie