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SUMMARY:Samuel Martin (Earlham Institute)
DTSTART:20230502T130000Z
DTEND:20230502T140000Z
DTSTAMP:20260421T153844Z
UID:UEAPS/6
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UEAPS/6/">Di
 mensions of phylogenetic network varieties</a>\nby Samuel Martin (Earlham 
 Institute) as part of ANTLR seminar\n\nLecture held in SCI 3.05.\n\nAbstra
 ct\nPhylogenetic networks provide a means of describing the evolutionary h
 istory of taxa that have undergone “horizontal” events\, such as hybri
 dization or lateral gene transfer. The mutation process of a single site i
 n shared DNA sequence for a set of such taxa can be modelled as a Markov p
 rocess on a phylogenetic network\, and the site-pattern probability distri
 butions from such a model can be viewed as a projective variety. In this w
 ork\, we have given an explicit description of the dimension of this varie
 ty for a given level-1 phylogenetic network under any group-based model of
  evolution. I will give an overview of the model from an algebraic perspec
 tive and describe our results\, focussing on the toric fiber product of tw
 o ideals\, and finish with some applications to identifiability problems. 
 Joint work with Elizabeth Gross and Robert Krone.\n
LOCATION:https://researchseminars.org/talk/UEAPS/6/
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