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dc.contributor.authorSnider, Michelleen_US
dc.identifier.otherbibid: 8213867
dc.description.abstractThe objects of interest in this thesis are positroid varieties in the Grassmannian, which are indexed by juggling patterns. In particular, we study affine patches on these positroid varieties. Our main result corresponds these affine patches to Kazhdan-Lusztig varieties in the affine Grassmannian. We develop a new term order and study how these spaces are related to subword complexes and Stanley-Reisner ideals. We define an extension of pipe dreams to the affine case and conclude by showing how our affine pipe dreams are generalizations of [GAMMA] Cauchon and - diagrams.en_US
dc.subjectalgebraic combinatoricsen_US
dc.subjectalgebraic geometryen_US
dc.titleAffine Patches On Positroid Varieties And Affine Pipe Dreamsen_US
dc.typedissertation or thesisen_US Universityen_US of Philosophy D., Mathematics
dc.contributor.chairKnutson, Allenen_US
dc.contributor.committeeMemberSwartz, Edward B.en_US
dc.contributor.committeeMemberBillera, Louis J.en_US

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