# Cornered Asymptotically Hyperbolic Metrics

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Stephen McKeown, Princeton University
Fine Hall 314

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.