Please use this identifier to cite or link to this item: http://arks.princeton.edu/ark:/88435/dsp01hq37vr74p
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dc.contributor.authorLai, Shilin
dc.contributor.otherMathematics Department
dc.date.accessioned2022-06-16T20:34:40Z-
dc.date.available2022-06-16T20:34:40Z-
dc.date.created2022-01-01
dc.date.issued2022
dc.identifier.urihttp://arks.princeton.edu/ark:/88435/dsp01hq37vr74p-
dc.description.abstractThis thesis sets up a framework to understand Iwasawa theory for the product of two unitary groups, generalizing phenomena observed in studying elliptic curves twisted by imaginary quadratic Hecke characters. The first part proves a formal theorem relating the different Iwasawa main conjectures arising in this picture. The second part interpolates the Selmer classes attached to the diagonal cycle appearing in the arithmetic Gan--Gross--Prasad conjecture. The final part is highly speculative and discusses the need for entirely new methods in the subject.
dc.format.mimetypeapplication/pdf
dc.language.isoen
dc.publisherPrinceton, NJ : Princeton University
dc.relation.isformatofThe Mudd Manuscript Library retains one bound copy of each dissertation. Search for these copies in the library's main catalog: <a href=http://catalog.princeton.edu>catalog.princeton.edu</a>
dc.subject.classificationMathematics
dc.titleAlgebraic aspects of Iwasawa theory in the Gan--Gross--Prasad setting
pu.date.classyear2022
pu.departmentMathematics
Appears in Collections:Mathematics

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