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SUMMARY:Jian Wang (University of Augsburg)
DTSTART:20200714T143000Z
DTEND:20200714T153000Z
DTSTAMP:20260422T151655Z
UID:GoeTop/9
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GoeTop/9/">C
 ontractible 3-manifolds and Positive scalar curvature</a>\nby Jian Wang (U
 niversity of Augsburg) as part of Göttingen topology and geometry seminar
 \n\n\nAbstract\nIt is unknown that a contractible 3-manifold has a complet
 e metric with positive scalar curvature. The topology of contractible 3-ma
 nifolds is much complicated. For example\, the Whitehead manifold is a con
 tractible 3-manifold but not homeomorphic to $\\mathbb{R}^3$. In this talk
 \, we will present the proof that it has no complete metric with positive 
 scalar curvature. We will further explain that a complete contractible 3-m
 anifold with positive scalar curvature and trivial fundamental group at in
 finity is homeomorphic to $\\mathbb{R}^3$.\n
LOCATION:https://researchseminars.org/talk/GoeTop/9/
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