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Toward a type B(n) geometric Littlewood-Richardson Rule

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dc.contributor.authorDavis, Diane E., author
dc.contributor.authorKley, Holger, advisor
dc.date.accessioned2024-03-13T19:26:10Z
dc.date.available2024-03-13T19:26:10Z
dc.date.issued2007
dc.description.abstractWe conjecture a geometric Littlewood-Richardson Rule for the maximal orthogonal Grassmannian and make significant advances in the proof of this conjecture. We consider Schubert calculus in the presence of a nondegenerate symmetric bilinear form on an odd-dimensional vector space (the type Bn setting) and use degenerations to understand intersections of Schubert varieties in the odd orthogonal Grassmannian. We describe the degenerations using combinatorial objects called checker games. This work is closely related to Vakil's Geometric Littlewood-Richardson Rule (Annals of Mathematics, 164).
dc.format.mediumborn digital
dc.format.mediumdoctoral dissertations
dc.identifierETDF_Davis_2007_3279502.pdf
dc.identifier.urihttps://hdl.handle.net/10217/237673
dc.languageEnglish
dc.language.isoeng
dc.publisherColorado State University. Libraries
dc.relation.ispartof2000-2019
dc.rightsCopyright and other restrictions may apply. User is responsible for compliance with all applicable laws. For information about copyright law, please see https://libguides.colostate.edu/copyright.
dc.rights.licensePer the terms of a contractual agreement, all use of this item is limited to the non-commercial use of Colorado State University and its authorized users.
dc.subjectalgebraic geometry
dc.subjectchecker games
dc.subjectdegenerations
dc.subjectGrassmannian
dc.subjectLittlewood-Richardson Rule
dc.subjectSchubert calculus
dc.subjectvector spaces
dc.subjectmathematics
dc.titleToward a type B(n) geometric Littlewood-Richardson Rule
dc.typeText
dcterms.rights.dplaThis Item is protected by copyright and/or related rights (https://rightsstatements.org/vocab/InC/1.0/). You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s).
thesis.degree.disciplineMathematics
thesis.degree.grantorColorado State University
thesis.degree.levelDoctoral
thesis.degree.nameDoctor of Philosophy (Ph.D.)

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