Event Type:

Geometry-Topology Seminar

Date/Time:

Monday, April 25, 2016 - 12:00 to 13:00

Location:

Gilkey 113

Guest Speaker:

Institution:

University of Washington

Abstract:

This talk will concern cornered asymptotically hyperbolic spaces, which

have a finite boundary in addition to the usual infinite boundary. After

introducing the setting, we will present a normal form near the corner for

these spaces. Using this, we will then discuss formal existence and

uniqueness, near the corner, of asymptotically hyperbolic Einstein metrics,

with a CMC-umbilic condition imposed on the finite boundary. We will

identify a new conformal hypersurface invariant and discuss applications to

conformal analysis of manifolds with boundary.

This is doctoral work under the supervision of C. Robin Graham.