Kristan Ranestad: Algebra og statistics: phylogenetic models from an algebraic geometric viewpoint

Kristan Ranestad (Dept. of Math, UiO) gives a seminar in room 107, 1st floor N.H. Abels House at 14:15 Tuesday October 14th. Algebra og statistics: Phylogenetic models from an algebraic geometric viewpoint

 

Abstract:
  Phylogenetic trees are models for evolution of species on macro or
micro (genetic) level in biology. A tree is, like in graph theory, a
connected graph without loops.

  Together with species data for each node and matrices on each edge
that describe the change in data between the species, the tree form a
phylogenetic model. The tree has a finite set of leaves, the nodes with
only one incident edge.

To find a model that best fits a give set of species data at the leaves
is a basic problem in phylogeny.  Which tree, and which matrices?

I will present an algebraic geometric approach to this problem, when the
matrix elements are random variables.

 

Published Oct. 8, 2014 10:02 AM - Last modified Oct. 8, 2014 10:02 AM