Deformations of Hilbert Schemes of Points on K3 Surfaces and Representation Theory

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dc.contributor.advisorHassett, Brendan E.
dc.contributor.committeeMemberHardt, Robert M.
dc.contributor.committeeMemberRiviere, Beatrice M.
dc.creatorZhang, Letao
dc.date.accessioned2014-10-17T20:49:15Z
dc.date.available2014-10-17T20:49:15Z
dc.date.created2014-05
dc.date.issued2014-04-22
dc.date.submittedMay 2014
dc.date.updated2014-10-17T20:49:15Z
dc.description.abstractWe study the cohomology rings of Kaehler deformations X of Hilbert schemes of points on K3 surfaces by representation theory. We compute the graded character formula of the Mumford - Tate group representation on the cohomology ring of X. Furthermore, we also study the Hodge structure of X, and find the generating series for deducting the number of canaonical Hodge classes in the middle cohomology.
dc.format.mimetypeapplication/pdf
dc.identifier.citationZhang, Letao. "Deformations of Hilbert Schemes of Points on K3 Surfaces and Representation Theory." (2014) Diss., Rice University. <a href="https://hdl.handle.net/1911/77609">https://hdl.handle.net/1911/77609</a>.
dc.identifier.urihttps://hdl.handle.net/1911/77609
dc.language.isoeng
dc.rightsCopyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.
dc.subjectHilbert scheme
dc.subjectRepresentation theory
dc.subjectHyperkaehler manifolds
dc.titleDeformations of Hilbert Schemes of Points on K3 Surfaces and Representation Theory
dc.typeThesis
dc.type.materialText
thesis.degree.departmentMathematics
thesis.degree.disciplineNatural Sciences
thesis.degree.grantorRice University
thesis.degree.levelDoctoral
thesis.degree.nameDoctor of Philosophy
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