Overconvergent modular forms are highest-weight vectors in the Hodge-Tate weight zero part of completed cohomology
We construct a $(\mathfrak {gl}_2, B(\mathbb {Q}_p))$ and Hecke-equivariant cup product pairing between overconvergent modular forms and the local cohomology at $0$ of a sheaf on $\mathbb {P}^1$, landing in the compactly supported completed $\mathbb {C}_p$-cohomology of the modular curve. The local...
| Published in: | Forum of Mathematics, Sigma |
|---|---|
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Cambridge University Press
2021-01-01
|
| Subjects: | |
| Online Access: | https://www.cambridge.org/core/product/identifier/S2050509421000165/type/journal_article |