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Title: Algebraic aspects of Iwasawa theory in the Gan--Gross--Prasad setting
Authors: Lai, Shilin
Advisors: Skinner, Christopher
Contributors: Mathematics Department
Subjects: Mathematics
Issue Date: 2022
Publisher: Princeton, NJ : Princeton University
Abstract: This 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.
Alternate format: The Mudd Manuscript Library retains one bound copy of each dissertation. Search for these copies in the library's main catalog:
Type of Material: Academic dissertations (Ph.D.)
Language: en
Appears in Collections:Mathematics

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