Topics in Local Class Field Theory and its applications
Lead Research Organisation:
University of Nottingham
Department Name: Sch of Mathematical Sciences
Abstract
To build new connections and applications of class field theory, for local fields with finite residue field and infinite residue field, with arithmetic of abelian varieties over field.
To study deep problems of class field theory of local fields with imperfect residue field such as lack of induction on degree of abelian extension.
To study deep problems of class field theory of local fields with imperfect residue field such as lack of induction on degree of abelian extension.
Organisations
People |
ORCID iD |
| Ivan Fesenko (Primary Supervisor) | |
| Christopher Hall (Student) |
Studentship Projects
| Project Reference | Relationship | Related To | Start | End | Student Name |
|---|---|---|---|---|---|
| EP/N50970X/1 | 01/10/2016 | 30/09/2021 | |||
| 1946493 | Studentship | EP/N50970X/1 | 01/10/2017 | 09/12/2020 | Christopher Hall |
| Description | My study of Local Class Field theory has led to new important results and made progress in algebraic number theory. |
| Exploitation Route | They can apply my results in their study. |
| Sectors | Education,Other |