Non-reductive cycles and twisted arithmetic transfers for Shimura curves
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909606200999936 |
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| author | Zhang, Zhiyu |
| author_facet | Zhang, Zhiyu |
| contents | In this largely expository note, we explain some recent progress on new cycles on Shimura varieties and Rapoport-Zink spaces, (twisted) arithmetic fundamental lemma, and arithmetic analogs of relative Langlands program. We explain related formulations of arithmetic twisted Gan-Gross-Prasad conjecture, the proof of twisted AFL and certain arithmetic transfers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_16754 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Non-reductive cycles and twisted arithmetic transfers for Shimura curves Zhang, Zhiyu Number Theory 11F27, 11F70, 11G18, 11G40, 14C17, 14C25, 14D05, 14G35 In this largely expository note, we explain some recent progress on new cycles on Shimura varieties and Rapoport-Zink spaces, (twisted) arithmetic fundamental lemma, and arithmetic analogs of relative Langlands program. We explain related formulations of arithmetic twisted Gan-Gross-Prasad conjecture, the proof of twisted AFL and certain arithmetic transfers. |
| title | Non-reductive cycles and twisted arithmetic transfers for Shimura curves |
| topic | Number Theory 11F27, 11F70, 11G18, 11G40, 14C17, 14C25, 14D05, 14G35 |
| url | https://arxiv.org/abs/2502.16754 |