Formalising the Bruhat-Tits Tree
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2025
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866910154226663424 |
|---|---|
| author | Ludwig, Judith Merten, Christian |
| author_facet | Ludwig, Judith Merten, Christian |
| contents | In this article we describe the formalisation of the Bruhat-Tits tree - an important tool in modern number theory - in the Lean Theorem Prover. Motivated by the goal of connecting to ongoing research, we apply our formalisation to verify a result about harmonic cochains on the tree. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_12933 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Formalising the Bruhat-Tits Tree Ludwig, Judith Merten, Christian Number Theory Logic in Computer Science In this article we describe the formalisation of the Bruhat-Tits tree - an important tool in modern number theory - in the Lean Theorem Prover. Motivated by the goal of connecting to ongoing research, we apply our formalisation to verify a result about harmonic cochains on the tree. |
| title | Formalising the Bruhat-Tits Tree |
| topic | Number Theory Logic in Computer Science |
| url | https://arxiv.org/abs/2505.12933 |