Session A2 - Computational Algebraic Geometry
July 12, 16:00 ~ 16:25 - Room B5
Distinguishing phylogenetic networks
San Jose State University, USA - email@example.com
Phylogenetic networks are increasingly becoming popular in phylogenetics since they have the ability to describe a wider range of evolutionary events than their tree counterparts. In this talk, we discuss Markov models on phylogenetic networks, i.e. directed acyclic graphs, and their associated algebra and geometry. In particular, assuming the Jukes-Cantor model of evolution and restricting to one reticulation vertex, using tools from computational algebraic geometry we show that the semi-directed network topology of $k$-cycle networks with $k \geq 4$ is generically identifiable.
Joint work with Colby Long (Mathematical Biosciences Institute).