## Columbia Mathematics Department Colloquium

*"The higher order Yamabe
problem"*

### by

### Neil Trudinger

### Australian
National University

Abstract:

The higher order Yamabe problem is to find a
conformal metric on an n-dimensional

compact Riemannian manifold with
constant k - curvature, k = 2,3...n.

Here the k-curvature is
defined as the k-th elementary symmetric function of
the

eigenvalues of the Schouten tensor, with
respect to the metric. We present recent work,

in collaboration with Wei-min Sheng and Xu-jia Wang on the
solution of this problem

and related issues such as
the compactness of the solution set.

.

**November 19th,
Wednesday, 5:00-6:00 pm**

**Mathematics 520**

**Tea will be served at 4:30pm**