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SUMMARY:Einstein Constants and Differential Topology [MPIM]
DTSTART:20250605T130000Z
DTEND:20250605T140000Z
DTSTAMP:20260420T151900Z
UID:indico-event-465@math-events.uni-bonn.de
DESCRIPTION:Speakers: Claude LeBrun (Stony Brook University)\n\nMPI-Oberse
 minar\nA Riemannian metric is said to be Einstein if it has constant Ricci
  curvature. In dimensions 2 or 3\, this is actually equivalent to requirin
 g the metric to have constant sectional curvature. However\, in dimensions
  4 and higher\, the Einstein condition becomes significantly weaker than c
 onstant sectional curvature\, and this has rather dramatic consequences. I
 n particular\, it turns out that there are high-dimensional smooth closed 
 manifolds that admit pairs of Einstein metrics with Ricci curvatures of op
 posite signs. After explaining how one constructs such examples\, I will t
 hen discuss some recent results exploring the coexistence of Einstein metr
 ics with zero and positive Ricci curvatures.\n\nhttps://math-events.uni-bo
 nn.de/event/465/
LOCATION:MPIM\, Vivatsgasse\,  7 - Lecture Hall (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/465/
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