Using Algebraic Geometry for Phylogenetic Reconstruction

Thursday, March 8, 2007 - 10:30am - 11:20am
EE/CS 3-180
Marta Casanellas (Polytechnical University of Cataluña (Barcelona))
Many statistical models of evolution can be viewed as
algebraic varieties. The generators of the ideal associated to a model
and a phylogenetic tree are called invariants. The invariants of an
statistical model of evolution should allow to determine what is the
tree formed by a set of living species.

We will present a method of phylogenetic inference based on invariants
and we will discuss why algebraic geometry should be considered as a
powerful tool for phylogenetic reconstruction. The performance of the
method has been studied for quartet trees and the Kimura 3-parameter
model and it will be compared to widely known phylogenetic
reconstruction methods such as Maximum likelihood estimate and
MSC Code: