Graduate Computational Algebraic Geometry Seminar
Sonja Petrovic
UIC
Phylogenetic Algebraic Geometry
Abstract: Phylogenetics is a field that involves biology and genetics,
algebraic geometry, statistics, polyhedral geometry, and algorithm
analysis. The basic objects of study are phylogenetic trees, defining
graphical models with hidden nodes.
We will get familiar with the basic biological and statistical
motivations for these objects, and see how they give rise to
algebraic varieties, following the usual story of algebraic
statistics.
We will cover some of the main definitions and survey a few of the
results from the algebraic, geometric and computational point of
view. In particular, we will see how the "Salmon problem" fits into
the big picture.
Thursday October 14, 2010 at 10:00 AM in SEO 1227