Abstract
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 language | English |
|---|---|
| Pages (from-to) | 503-514 |
| Number of pages | 12 |
| Journal | Discrete Mathematics and Theoretical Computer Science |
| State | Published - 2012 |
| Event | 24th International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2012 - Nagoya, Japan Duration: Jul 30 2012 → Aug 3 2012 |
Keywords
- Combinatorial Representation Theory
- Flag Variety
- Phylogenetics
- Tropical Geometry
ASJC Scopus subject areas
- Theoretical Computer Science
- General Computer Science
- Discrete Mathematics and Combinatorics