 
Summary: Phylogenetic Models:
Algebra and Evolution
Elizabeth S. Allman
Dept. of Mathematics and Statistics
University of Alaska Fairbanks
TM
Applications in biology, dynamics, and statistics
Institute for Mathematics and its Applications Minneapolis, MN
March 6, 2007
Outline:
1. the inference problem
DNA sequences evolutionary tree
2. sequence evolution
probabilistic models on trees
3. phylogenetic ideals and varieties
models algebraic varieties
4. application
identifiability of models
Inference Problem:
Given aligned biological sequences, presumed to have arisen from a
