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SUMMARY:Lauren Williams (Harvard University)
DTSTART:20210525T150000Z
DTEND:20210525T160000Z
DTSTAMP:20260423T052335Z
UID:OCAS/30
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OCAS/30/">Th
 e amplituhedron and cluster algebras</a>\nby Lauren Williams (Harvard Univ
 ersity) as part of Online Cluster Algebra Seminar (OCAS)\n\n\nAbstract\nTh
 e amplituhedron is the image of the positive Grassmannian under a linear m
 ap induced by a totally positive matrix. Special cases of the amplituhedro
 n include the positive Grassmannian\, cyclic polytopes in projective space
 \, and the bounded complex of the cyclic hyperplane arrangement.\n\nWhile 
 at first glance the amplituhedron seems complicated\, it has many beautifu
 l properties. I will explain how ideas from oriented matroids\, total posi
 tivity\, and cluster algebras leads to new results about the amplituhedron
 .\n\n\nBased on joint work with Matteo Parisi and Melissa Sherman-Bennett.
 \n
LOCATION:https://researchseminars.org/talk/OCAS/30/
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