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

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dc.contributor.advisorHassett, Brendan E.en_US
dc.contributor.committeeMemberHardt, Robert M.en_US
dc.contributor.committeeMemberRiviere, Beatrice M.en_US
dc.creatorZhang, Letaoen_US
dc.date.accessioned2014-10-17T20:49:15Zen_US
dc.date.available2014-10-17T20:49:15Zen_US
dc.date.created2014-05en_US
dc.date.issued2014-04-22en_US
dc.date.submittedMay 2014en_US
dc.date.updated2014-10-17T20:49:15Zen_US
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.en_US
dc.format.mimetypeapplication/pdfen_US
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>.en_US
dc.identifier.urihttps://hdl.handle.net/1911/77609en_US
dc.language.isoengen_US
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.en_US
dc.subjectHilbert schemeen_US
dc.subjectRepresentation theoryen_US
dc.subjectHyperkaehler manifoldsen_US
dc.titleDeformations of Hilbert Schemes of Points on K3 Surfaces and Representation Theoryen_US
dc.typeThesisen_US
dc.type.materialTexten_US
thesis.degree.departmentMathematicsen_US
thesis.degree.disciplineNatural Sciencesen_US
thesis.degree.grantorRice Universityen_US
thesis.degree.levelDoctoralen_US
thesis.degree.nameDoctor of Philosophyen_US
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