Non-reductive cycles and twisted arithmetic transfers for Shimura curves
Number Theory
2025-05-13 v2
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.
Keywords
Cite
@article{arxiv.2502.16754,
title = {Non-reductive cycles and twisted arithmetic transfers for Shimura curves},
author = {Zhiyu Zhang},
journal= {arXiv preprint arXiv:2502.16754},
year = {2025}
}
Comments
For publication in RIMS Kokyuroku. Comments welcome