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SUMMARY:Klaus Kröncke (KTH Royal Institute of Technology)
DTSTART:20251029T140000Z
DTEND:20251029T150000Z
DTSTAMP:20260423T040047Z
UID:VSGS/117
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/VSGS/117/">O
 n the volume-renormalized mass</a>\nby Klaus Kröncke (KTH Royal Institute
  of Technology) as part of Virtual seminar on geometry with symmetries\n\n
 \nAbstract\nWe give an overview on results about a new mass-like quantity 
 on asymptotically hyperbolic manifolds\, which was recently introduced by 
 Dahl\, McCormick and me. The volume-renormalized mass is essentially a lin
 ear combination of the ADM mass surface integral and a renormalization of 
 the volume. It is well-defined and diffeomorphism invariant under weaker f
 all-off conditions than required to ensure that the renormalized volume an
 d the ADM mass surface integral are well-defined separately. We show that 
 our quantity can be deduced from a reduced Hamiltonian perspective and tha
 t it is nonincreasing along CMC foliations of asymptotically Milne-like va
 cuum spacetimes. We prove a positive mass theorem for orientable three-man
 ifolds which don’t contain non-separating spheres. In addition\, we demo
 nstrate that a Poincaré–Einstein manifold is dynamically stable under t
 he Ricci flow if and only if it is a local minimizer of the mass. This tal
 k is based on collaborations with Mattias Dahl\, Stephen McCormick\, Franc
 esca Oronzio\, Alan Pinoy and Louis Yudowitz.\n
LOCATION:https://researchseminars.org/talk/VSGS/117/
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