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Using Phylogenetic Invariants to Reconstruct Trees
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Classroom Contents
Phylogenetic Algebraic Geometry
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- 1 Intro
- 2 Phylogenetics Problem Given a collection of species, find the tree that explains their history.
- 3 Applications of Phylogenetics
- 4 Phylogenetics Methodologies Traditional Method: Clacistics
- 5 Using Sequence Data to Build Trees
- 6 Algebraic Perspective on Phylogenetic Models
- 7 Phylogenetic Algebraic Geometry
- 8 Using Phylogenetic Invariants to Reconstruct Trees
- 9 SVDQuartets (Chitman, Kubatko, Long)
- 10 Identifiability of Phylogenetic Models
- 11 Geometric Perspective on Identifiability
- 12 Generic Identifiability
- 13 Proving Identifiability with Algebraic Geometry
- 14 Phylogenetic Models are Identifiable
- 15 Gluing Two Trees at a Leaf
- 16 Gluing more complex graphs
- 17 Group-based models
- 18 Equations for the CFN Model
- 19 Buczynska-Wisniewski Theorem
- 20 The Hilbert Scheme
- 21 Summary
