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SUMMARY:Demetre Kazaras (Michigan State University)
DTSTART:20241205T133000Z
DTEND:20241205T143000Z
DTSTAMP:20260423T005745Z
UID:IMSRS/14
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/IMSRS/14/">S
 calar curvature and codimension 2 collapse</a>\nby Demetre Kazaras (Michig
 an State University) as part of IUT Mathematics Research Seminars (IMRS)\n
 \nLecture held in https://meet.google.com/vbg-acos-cow.\n\nAbstract\nThis 
 talk is about the structure of Riemannian 3-manifolds satisfying a lower b
 ound on their scalar curvature. These manifolds are toy models for spatial
  geometry in general relativity. Our motivational question will be "How fl
 at is an isolated gravitational system with very little total mass?" Objec
 ts like gravity wells and black holes can distort geometry without accumul
 ating much mass\, making this a subtle question. In addition to discussing
  progress\, I will present a "drawstring" construction\, which modifies a 
 manifold near a given curve\, reducing its length with negligible damage t
 o a scalar curvature lower bound.  Unexpected examples are produced with r
 elevance to a few problems. This construction extends ideas of Basilio-Dod
 ziuk-Sormani and Lee-Naber-Neumayer\, and is based on joint work with Kai 
 Xu\n
LOCATION:https://researchseminars.org/talk/IMSRS/14/
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