Dr. Stephen McKeown, a Postdoctoral Research Associate at Princeton University, will present the next Math Lecture, on Friday, April 6th. This lecture is the Temple-Rutgers Global Analysis Seminar, and the topic is “Cornered Asymptotically Hyperbolic Metrics.” This free lecture is open to all. The event begins at 3 p.m. in the Business and Science Building, Room 116.
The abstract is as follows:
“This talk will concern cornered asymptotically hyperbolic spaces, which have a finite boundary in addition to the usual infinite boundary. After introducing a normal form near the corner for these spaces, I will discuss formal existence and uniqueness, near the corner, of asymptotically hyperbolic Einstein metrics, with a CMC-umbilic condition imposed on the finite boundary. This is analogous to the Fefferman-Graham construction for the ordinary, non-cornered setting. Finally, I will mention ongoing work regarding scattering on such spaces.”