4:00 pm Wednesday, March 23, 2016
Colloquium: Phylogenetic Networks and Moduli Spaces by Satyan Devadoss (Williams College) in RLM 7.104
Configuration spaces are not only fundamental objects in mathematics, but appear in numerous areas such as robot motion planning, DNA sequencing, sensor networks, and origami designs. Our story is motivated by objects in algebraic geometry, namely the configuration space of particles on spheres, along with their compactifications. These spaces have elegant properties, being compact hyperbolic aspherical manifolds with a beautiful tessellation by convex polytopes. We reinterpret them as spaces of phylogenetic networks, and show how they extend and resolve the singularities of tree spaces studied by Billera, Holmes, and Vogtmann. The entire talk is heavily infused with visual imagery and concrete examples. Submitted by
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