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SUMMARY:Megan Kerr (Wellesley College)
DTSTART:20220323T160000Z
DTEND:20220323T170000Z
DTSTAMP:20260423T052924Z
UID:VSGS/47
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/VSGS/47/">Su
 bmanifolds of Noncompact Homogeneous Spaces with Special Curvature Propert
 ies</a>\nby Megan Kerr (Wellesley College) as part of Virtual seminar on g
 eometry with symmetries\n\n\nAbstract\nThe Ricci curvature form of a subma
 nifold is not\, in general\, the restriction of the Ricci curvature of the
  ambient space. Therefore\, classes of manifolds and submanifolds where th
 e Ricci curvatures are aligned are very special. Indeed\, Tamaru exploited
  this idea in the setting of noncompact symmetric spaces to construct new 
 examples of Einstein solvmanifolds via special subalgebras. We characteriz
 e the largest category in which Tamaru's construction can be extended\, id
 entifying two crucial algebraic/metric conditions. We explore a new class 
 of solvmanifolds defined by Kac-Moody algebras that are generalizations of
  symmetric spaces for which our crucial extra conditions hold. And further
 more\, in current work in progress\, we investigate other metric propertie
 s of these spaces.\n\nThis is joint work with Tracy Payne.\n
LOCATION:https://researchseminars.org/talk/VSGS/47/
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