Twisted arithmetic transfer conjecture for regular semisimple intersections
Twisted arithmetic transfer conjecture for regular semisimple intersections
Let and , and let be the corresponding parahoric subgroup. For a regular semisimple pair , let be the derived intersection number defined in the supplied context. For a matching regular semisimple triple , let be the twisted orbital integral defined there. Twisted arithmetic transfer conjecture. For every such matching pair and triple,
This is an arithmetic transfer identity comparing derived intersection numbers on a unitary Rapoport--Zink space with derivatives of twisted orbital integrals; the supplied text gives no resolution of the conjecture.
Sources & referencesView supporting material
Primary source
Zhiyu Zhang, “Non-reductive cycles and twisted arithmetic transfers for Shimura curves”, arXiv:2502.16754 (2025).
Additional references
2 papers in this index state this conjecture (2024–2025). The statement above is taken from the most recent of them; the others are arXiv:2406.00986.
Progress summary
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