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Convergent and overconvergent A-expansions of Drinfeld modular forms
File(s)
Author(s)
Voysey, Galen
Type
Thesis
Abstract
We present a novel geometric construction of convergent and overconvergent p-adic Drinfeld modular forms of level 1 and Zp-weights. We reinterpret Hattori’s construction of convergent p-adic Drinfeld modular forms using our framework. Following the work of López and Petrov, we define convergent and overconvergent Drinfeld modular forms with A-expansions, and prove analogues of some standard theorems in this setting.
Version
Open Access
Date Issued
2021-10
Date Awarded
2021-12
URI
DOI
Copyright Statement
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International Licence
License URL
Advisor
Pal, Ambrus
Sponsor
Engineering and Physical Sciences Research Council
Grant Number
EP/L015234/1
Publisher Department
Mathematics
Publisher Institution
Imperial College London
Qualification Level
Doctoral
Qualification Name
Doctor of Philosophy (PhD)