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SUMMARY:Minimal Submanifolds in Asymptotically Hyperbolic Manifolds - Samu
 el Perez-Ayala (Haverford College)
DTSTART:20260203T144500Z
DTEND:20260203T153000Z
UID:TALK239614@talks.cam.ac.uk
DESCRIPTION:The model space of an asymptotically hyperbolic (AH) manifold 
 is hyperbolic space\, realized as the Poincar&eacute\; ball. More generall
 y\, AH manifolds arise as the interiors of compact manifolds with boundary
 \, equipped with complete metrics admitting a suitable conformal compactif
 ication. I will discuss a new invariant for a large class of submanifolds 
 in certain AH manifolds. This invariant emerges in the derivation of Diric
 hlet eigenvalue lower bounds for such submanifolds\, and can be used to ru
 le out the existence of compact minimal submanifolds in specific asymptoti
 cally hyperbolic settings. This is joint work with Jeffrey Case\, Aaron Ty
 rrell\, and Dawit Yishak.
LOCATION:Seminar Room 1\, Newton Institute
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