Phylogenetic Models: Algebra and Evolution

Tuesday, March 6, 2007 - 9:00am - 9:50am
EE/CS 3-180
Elizabeth Allman (University of Alaska)
Molecular phylogenetics is concerned with inferring evolutionary
relationships (phylogenetic trees) from biological sequences (such as
aligned DNA sequences for a gene shared by a collection of species).
The probabilistic models of sequence evolution that underly statistical
approaches in this field exhibit a rich algebraic structure.

After an introduction to the inference problem and phylogenetic
models, this talk will survey some of the highlights of current
algebraic understanding. Results on the important statistical issue
of identifiability of phylogenetic models will be emphasized, as the
algebraic viewpoint has been crucial to obtaining such results.
MSC Code: