Geometry/Physics Seminar

Title: Phylogenetic networks and the real moduli space of curves
Speaker: Satyan Devadoss
Speaker Info:
Brief Description:
Special Note:

Abstract: Infused with visual imagery, this talk is motivated by the the moduli spaces of punctured Riemann spheres.   In the 1970s, Grothendieck, Deligne, and Mumford constructed their compactification using Geometric Invariant Theory.  In the 1990s, Gromov and Witten utilized them as invariants arising from string field theory and quantum cohomology.  We consider real points of these spaces, which have elegant geometric and combinatorial properties, being compact hyperbolic manifolds with a beautiful tessellation by convex polytopes. In recent years, they have gained importance in their own right, appearing in areas such as representation theory, geometric group theory, tropical geometry, and lately reinterpreted as spaces of phylogenetic networks. In particular, they resolve the singularities of tree spaces studied by Billera, Holmes, and Vogtmann.
Date: Tuesday, April 8, 2014
Time: 1:00pm
Where: Lunt 107
Contact Person: Michael Couch
Contact email: mcouch@math.northwestern.edu
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