Dissertations, Theses, and Capstone Projects
Date of Degree
6-2025
Document Type
Dissertation
Degree Name
Ph.D.
Program
Mathematics
Advisor
Victor Kolyvagin
Committee Members
Kenneth Kramer
Vladimir Shpilrain
Subject Categories
Number Theory
Abstract
We give a classification of power series parametrizing Lubin-Tate trace compatible sequences. This proof answers a question posed in the literature by Berger and Fourquaux. Lubin-Tate trace compatible sequences are a generalization of norm compatible sequences, which arise in Iwasawa theory and local class field theory. The result we prove generalizes the interpolation theorem proved by Coleman in the classical norm compatible sequence case. We also, jointly with Victor Kolyvagin, give a method for finding such series explicitly in certain special cases.
Recommended Citation
DiCapua, Joseph, "Parametrization of Formal Norm Compatible Sequences" (2025). CUNY Academic Works.
https://academicworks.cuny.edu/gc_etds/6208
