For more information about this meeting, contact Dmitri Burago, Anatole Katok, Mari Royer, Yakov Pesin.
| Title: | The Yamabe number is a spin-bordism invariant |
|---|
| Seminar: | Center for Dynamics and Geometry Seminar |
|---|
| Speaker: | Bernd Ammann, University of Regensburg |
|---|
| Abstract: |
|---|
| If M is a compact manifold, then the conformal Yamabe invariant of
$(M,[g_0])$ is defined as the infimum of the Einstein-Hilbert functinal
over all volume-1-metrics in a given conformal class [g_0]. Taking the
supremum over all conformal classes we obtain the Yamabe number of M.
It is positive iff M admits a metric of positive scalar curvature.
We show that this number is almost monotone under surgeries of
codimension \geq 3, and it follows that in a certain range of values, it
is a new type of spin-bordism invariant. |
Room Reservation Information
| Room Number: | MB106 |
|---|
| Date: | 03 / 17 / 2010 |
|---|
| Time: | 03:30pm - 05:30pm |
|---|
