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PRODID:researchseminars.org
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SUMMARY:Yuan Zhou (U. Kentucky)
DTSTART:20220602T180000Z
DTEND:20220602T184500Z
DTSTAMP:20260419T191314Z
UID:SageDays112358/22
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/SageDays1123
 58/22/">Solid angles of polyhedral cones via decompositions and power seri
 es</a>\nby Yuan Zhou (U. Kentucky) as part of Global Virtual SageDays 112.
 358\n\n\nAbstract\nThis work concerns the normalized solid angle measure o
 f a polyhedral cone. This is well understood in dimensions two and three. 
 For higher dimensions\, the measure can be computed via a multivariable hy
 pergeometric series. This series serves as a powerful tool\, allowing one 
 to compute the solid angle measure of a simplicial cone of interest\, so l
 ong as it satisfies a certain condition relating to positive-definiteness.
  We present two decomposition methods of full-dimensional simplicial cones
  into finite families of cones satisfying the positive-definite criterion.
  We present the SageMath implementation of the proposed solid angle comput
 ations. This is a joint work with Allison Fitisone.\n
LOCATION:https://researchseminars.org/talk/SageDays112358/22/
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