|Date: Monday, March 21, 2022
Location: 3866 East Hall (4:00 PM to 5:00 PM)
Title: Tree Spaces
Abstract: Phylogenetic trees encode evolutionary relationships between species and genes, among other things. Increasing the effectiveness of data science in phylogenetics requires that we better understand how phylogenetic trees are structured mathematically. In this talk, I will cover four different spaces of phylogenetic trees: the Billera-Holmes-Vogtman (BHV) space of trees, the tropical Grassmannian, the edge-product space, and the wald space. In particular, I will discuss the topology and metrics on these spaces. We will explore geodesics between trees and relate them to common tree rearrangement operations.
Speaker: Shelby Cox