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.



UTD strives to create inclusive and accessible events in accordance with the Americans with Disabilities Act (ADA). If you require an accommodation to fully participate in this event, please contact the event coordinator (listed below) at least 10 business days prior to the event. If you have any additional questions, please email and the AccessAbility Resource Center at

Event Type

Lectures & Workshops




math, mathgeometryAY22

Natural Sciences & Mathematics
Contact Information
Stephen E. McKeown
Google Calendar iCal Outlook