UC Davis Mathematics

Mathematics Colloquia and Seminars

Return to Colloquia & Seminar listing

Cornered Asymptotically Hyperbolic Einstein Metrics

QMAP Seminar

Speaker: Stephen McKeown, Princeton
Location: 2112 MSB
Start time: Fri, Mar 2 2018, 11:00AM

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, we 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.