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.

 

 

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

Natural Sciences & Mathematics
Stephen E. McKeown
Email

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 above) at least 10 business days prior to the event. If you have any additional questions, please email ADACoordinator@utdallas.edu and the AccessAbility Resource Center at accessability@utdallas.edu.

Event Publishing

Add an Event 

Submit your own event using our simple event submission form. It only takes a minute!

Event Publisher Training 

Learn best practices to maximize the calendar’s latest features.

Make a Calendar Feed 

Embed events anywhere on the web with our widget builder.

Explore Comet Calendar

Events by Email

Get a personalized list of events in your inbox with our digest emailer.

30-second Survey

Share your feedback and suggestions on how we can improve the Comet Calendar.

The University of Texas at Dallas