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Connections Between Type A Quiver Loci and Positroid Varieties in the Grassmannian

dc.contributor.advisorRajchgot, Jenna
dc.contributor.authorKierkosz, Illya
dc.contributor.departmentMathematicsen_US
dc.date.accessioned2024-10-04T13:39:09Z
dc.date.available2024-10-04T13:39:09Z
dc.date.issued2024
dc.description.abstractIn [KR15], it was shown that each type A quiver locus is closely related to a Schubert variety in a partial flag variety. In this thesis, we adapt the construction to show that type A quiver loci are also closely related to positroid varieties in Grassmannians. An important idea in producing this construction is a new combinatorial identification between quiver rank arrays and bounded affine permutations.en_US
dc.description.degreeMaster of Science (MSc)en_US
dc.description.degreetypeThesisen_US
dc.identifier.urihttp://hdl.handle.net/11375/30337
dc.language.isoenen_US
dc.subjectCombinatorics, Algebraic Geometry, Positroid Varieties, Type A Quiver Locien_US
dc.titleConnections Between Type A Quiver Loci and Positroid Varieties in the Grassmannianen_US
dc.typeThesisen_US

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