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Algebraic Statistics |
| December 15, 2008 to December 18, 2008 |
| Organized By: Serkan Hosten (SFSU), Lior Pachter (UCB), Bernd Sturmfels (UCB) |
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| Return to Workshop Description |
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Phylogenetic invariants
Tuesday December 16, 2008
11:00AM - 12:00PM
Speakers:
Marta Casanellas
Abstract:
Many statistical models of evolution can be viewed as algebraic
varieties. As a consequence, algebraic geometry has a lot to do in
phylogenetic reconstruction. Indeed, the generators of the ideal of a
statistical model of evolution should allow to determine the tree formed
by a set of living species.
We will present methods of phylogenetic inference based on algebraic
geometry and we will discuss why algebraic geometry should be considered
as a powerful tool for phylogenetic reconstruction. We will also see how
an in-depth study of the geometry of the model leads to major
improvements on the methods based on algebraic geometry.
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