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SUMMARY:Jonathan Epstein (McDaniel College)
DTSTART:20210825T160000Z
DTEND:20210825T170000Z
DTSTAMP:20260423T035930Z
UID:VSGS/32
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/VSGS/32/">Sy
 mmetry groups of solvmanifolds</a>\nby Jonathan Epstein (McDaniel College)
  as part of Virtual seminar on geometry with symmetries\n\n\nAbstract\nAlt
 hough it is generally difficult to determine the full isometry group of a 
 solvmanifold $S$\, partial knowledge of its symmetries can yield useful in
 formation. For example\, the existence of a maximally symmetric metric is 
 related to the existence of extensions of the Lie algebra $\\mathfrak{s}$ 
 of $S$ which admit a nontrivial Levi decomposition. Motivated by this\, we
  describe the decompositions $\\mathfrak{s} = \\mathfrak{s}_1 \\ltimes \\m
 athfrak{s}_2$ which yield such extensions and develop a procedure for dete
 rmining their existence. When the step-size of the nilradical of $\\mathfr
 ak{s}$ is bounded\, we use the representation theory of real semisimple Li
 e algebras to describe the structure of such extensions. This is joint wor
 k with Michael Jablonski.\n
LOCATION:https://researchseminars.org/talk/VSGS/32/
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