Modularity of special cycles on Shimura varieties: a survey
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866912935011418112 |
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| author | Greer, François Tayou, Salim |
| author_facet | Greer, François Tayou, Salim |
| contents | We survey recent results on a conjecture of Kudla regarding the modularity of generating series of special cycle classes in toroidal compactifications of orthogonal and unitary Shimura varieties. Along the way, we formulate several conjectures on related phenomena for special cycles in other types of Shimura varieties, as well as on more general quotients of period domains. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_01251 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Modularity of special cycles on Shimura varieties: a survey Greer, François Tayou, Salim Algebraic Geometry Number Theory We survey recent results on a conjecture of Kudla regarding the modularity of generating series of special cycle classes in toroidal compactifications of orthogonal and unitary Shimura varieties. Along the way, we formulate several conjectures on related phenomena for special cycles in other types of Shimura varieties, as well as on more general quotients of period domains. |
| title | Modularity of special cycles on Shimura varieties: a survey |
| topic | Algebraic Geometry Number Theory |
| url | https://arxiv.org/abs/2603.01251 |