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Junior Geometry
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Austin Alderete, RLM 12.166: The Tropical Grassmanian as a Moduli Space
Tuesday, April 02, 2019, 04:00pm - 05:00pm
The classical Grassmanian is a familiar example of a moduli space.In this talk, we'll look at it's tropicalization and the roleit plays in tropical algebraic geometry. Special attention willbe given to G(r,m) = G(2,m) case in which connections to evolutionarybiology arise. We will prove that this case is the moduli spaceof phylogenetic trees and highlight some phenomena that makesthe cases r2 more difficult. Despite these difficulties, we willshow that the classical case induces a strong relation betweenthe tropical Grassmanian and uniform tropicalized linear spaces.
Location: RLM 12.166

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