Phylogenetic Algebraic Geometry

Phylogenetic Algebraic Geometry

Fields Institute via YouTube Direct link

Gluing Two Trees at a Leaf

15 of 21

15 of 21

Gluing Two Trees at a Leaf

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Phylogenetic Algebraic Geometry

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

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