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SUMMARY:Han-Bom Moon (Fordham University)
DTSTART:20201222T150000Z
DTEND:20201222T160000Z
DTSTAMP:20260423T052839Z
UID:ZAG/79
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ZAG/79/">Poi
 nt configurations\, phylogenetic trees\, and dissimilarity vectors</a>\nby
  Han-Bom Moon (Fordham University) as part of ZAG (Zoom Algebraic Geometry
 ) seminar\n\n\nAbstract\nIn 2004 Pachter and Speyer introduced the dissimi
 larity maps for phylogenetic trees and asked two important questions about
  their relationship with tropical Grassmannian. Multiple authors answered 
 affirmatively the first of these questions\, showing that dissimilarity ve
 ctors lie on the tropical Grassmannian\, but the second question\, whether
  the set of dissimilarity vectors forms a tropical subvariety\, remained o
 pened. In this talk\, we present a weighted variant of the dissimilarity m
 ap and show that weighted dissimilarity vectors form a tropical subvariety
  of the tropical Grassmannian in exactly the way that Pachter-Speyer envis
 ioned. This tropical variety has a geometric interpretation in terms of po
 int configurations on rational normal curves. This is joint work with Ales
 sio Caminata\, Noah Giansiracusa\, and Luca Schaffler.\n
LOCATION:https://researchseminars.org/talk/ZAG/79/
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