Comet Calendar

GTDS Seminar: Aaron Tyrrell

Monday, April 3 at 1:00pm to 2:00pm

Engineering and Computer Science West (ECSW), 1.315
800 W. Campbell Road, Richardson, Texas 75080-3021

Speaker: Aaron Tyrrell, Texas Tech University

Title: Renormalized Area for Minimal Hypersurfaces of 5-Dimensional Poincaré-Einstein Spaces

Abstract: We will report on a result within the holographic study of conformal geometry initiated by Fefferman and Graham:

In 1999 Graham and Witten showed that one can define a notion of renormalized area for properly embedded minimal submanifolds of Poincaré-Einstein spaces. For even-dimensional submanifolds, this quantity is a global invariant of the embedded submanifold. In 2008 Alexakis and Mazzeo wrote a paper on this quantity for surfaces in a 3-dimensional PE manifold, getting an explicit formula and studying its functional properties. We will look at a formula for the renormalized area of a minimal hypersurface of a 5-dimensional Poincaré-Einstein space in terms of a Chern-Gauss-Bonnet formula. We will show how the integrand in the renormalized area formula can be realized as a conformal integral hypersurface invariant.



Persons with disabilities may submit a request for accommodations to participate in this event at UT Dallas' ADA website. You may also call (972) 883-5331 for assistance or send an email to All requests should be received no later than 10 business days prior to the event.

Event Type

Lectures & Workshops




math, mathgeometryAY22

Natural Sciences & Mathematics
Contact Information
Stephen E. McKeown
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