Non-reductive cycles and twisted arithmetic transfers for Shimura curves

Zhiyu Zhang

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arXiv · 2502.16754

Non-reductive cycles and twisted arithmetic transfers for Shimura curves

Zhiyu Zhang

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Abstract

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.

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Zhiyu Zhang. 2025-02-23. Non-reductive cycles and twisted arithmetic transfers for Shimura curves. https://arxiv.org/abs/2502.16754

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