Defining newforms in characteristic $p$
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909443968466944 |
|---|---|
| author | Johnston, Daniel R. |
| author_facet | Johnston, Daniel R. |
| contents | The theory of newforms, due to Atkin and Lehner, provides a powerful method for decomposing spaces of modular forms. However, many problems occur when trying to generalise this theory to characteristic $p$. Recently, Deo and Medvedovsky have suggested a way around these problems by using purely algebraic notions to define newforms. In this thesis, we describe the methods of Deo and Medvedovsky in detail and generalise their results where possible. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_20606 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Defining newforms in characteristic $p$ Johnston, Daniel R. Number Theory 11F25, 11F33 (Primary) 11F11, 11F30 (Secondary) The theory of newforms, due to Atkin and Lehner, provides a powerful method for decomposing spaces of modular forms. However, many problems occur when trying to generalise this theory to characteristic $p$. Recently, Deo and Medvedovsky have suggested a way around these problems by using purely algebraic notions to define newforms. In this thesis, we describe the methods of Deo and Medvedovsky in detail and generalise their results where possible. |
| title | Defining newforms in characteristic $p$ |
| topic | Number Theory 11F25, 11F33 (Primary) 11F11, 11F30 (Secondary) |
| url | https://arxiv.org/abs/2412.20606 |