|GEOMETRIC PDE SEMINAR|
|Topic:||Renormalized Volume Coefficients and Fully Nonlinear Equations|
|Affiliation:||University of Washington, Seattle and Member, School of Mathematics|
|Date:||Tuesday, March 17|
|Time/Room:||2:00pm - 3:00pm/S-101|
The "sigma_k Yamabe problem" is a fully nonlinear generalization of the Yamabe problem, in which one attempts to find a conformal multiple of a given metric to make constant the k-th elementary symmetric function of the eigenvalues of the Schouten tensor. This talk will discuss a modification of this problem defined by the renormalized volume coefficients which arise in the context of the AdS/CFT correspondence. The work is partly motivated by a recent result of Alice Chang and Hao Fang concerning a variational property of the renormalized volume coefficients.