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SUMMARY:Aida Maraj (Max Planck Institute)
DTSTART:20201116T200000Z
DTEND:20201116T210000Z
DTSTAMP:20260423T053554Z
UID:YUAAS/14
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/YUAAS/14/">R
 eciprocal ML-degree of Brownian Motion Tree Models</a>\nby Aida Maraj (Max
  Planck Institute) as part of York University Applied Algebra Seminar\n\n\
 nAbstract\nBrownian Motion Tree Models (BMTM) are multivariate Gaussian mo
 dels that arise in phylogenetics when studying the evolution of species th
 rough time. They are realized by rooted directed trees. BMTM are wonderful
  as the space of their covariance matrices is a linear space of symmetric 
 matrices\, and the space of their concentration matrices is a toric variet
 y.  In applications\, one is interested in computing the point in a model 
 that is more probable for the observed data. The (reciprocal) Maximum Like
 lihood degree of the model gives an insight on the complexity of this prob
 lem. In BMTM the reciprocal ML-degree can be nicely computed from the stru
 cture of the tree. To prove this result we require help from toric geometr
 y. This is based on joint work with T. Boege\, J.I. Coons\, C. Eur\, and F
 . Röttger.\n
LOCATION:https://researchseminars.org/talk/YUAAS/14/
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