Helm, David, doctor of mathematics2013-09-162017-05-112017-05-112013-08August 201http://hdl.handle.net/2152/21209textIn this thesis we construct an analogue in tropical geometry for a class of Schubert varieties from classical geometry. In particular, we look at the collection of tropical lines contained in the fan tropical plane. We call these tropical spaces "tropical Schubert prevarieties", and develop them after creating a tropical analogue for flag varieties that we call the "flag Dressian". Having constructed this tropical analogue of Schubert varieties we then determine that the 2-skeleton of these tropical Schubert prevarieties is realizable. In fact, as long as the lift of the fan tropical plane is in general position, only the 2-skeleton of the tropical Schubert prevariety is realizable.application/pdfen-USTropical geometryAlgebraic geometryGeometryTropicalDeformation theoryObstructionRealizability2013-09-16