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 Seminars|
|Speaker:||Bernd Ammann, University of Regensburg|
|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
|Date:||03 / 17 / 2010|
|Time:||03:30pm - 05:30pm|