Phylogenetic trees and the tropical geometry of flag varieties

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1 Scopus citations


We will discuss some recent theorems relating the space of weighted phylogenetic trees to the tropical varieties of each flag variety of type A. We will also discuss the tropicalizations of the functions corresponding to semi-standard tableaux, in particular we relate them to familiar functions from phylogenetics. We close with some remarks on the generalization of these results to the tropical geometry of arbitrary flag varieties. This involves the family of Bergman complexes derived from the hyperplane arrangements associated to simple Dynkin diagrams.

Original languageEnglish
Pages (from-to)503-514
Number of pages12
JournalDiscrete Mathematics and Theoretical Computer Science
StatePublished - 2012
Event24th International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2012 - Nagoya, Japan
Duration: Jul 30 2012Aug 3 2012


  • Combinatorial Representation Theory
  • Flag Variety
  • Phylogenetics
  • Tropical Geometry

ASJC Scopus subject areas

  • Theoretical Computer Science
  • General Computer Science
  • Discrete Mathematics and Combinatorics


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