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OP-8328Status unassessedNumber theory

Special cycles, modularity and arithmetic intersection · Question 2

Arithmetic intersection theory on Shimura varieties · Historical workshop question

Editorial mapping of AIMPL source category: Number theory. http://aimpl.org/intersectshimura/ Not an author-supplied MSC code.

Historical list · status unassessedAs of 2026-09-08Source & evidence ↓

Problem statement

Derived special cycles have been defined on integral models of certain Shimura varieties (resp. moduli of Shtukas) in recent works of Madapusi (resp. Feng-Yun-Zhang) in the good reduction case. Is it possible to extend their method and define derived special cycles in the bad reduction cases e.g. for some specific parahoric levels?

Lean 4

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References
  1. [1]Arithmetic intersection theory on Shimura varieties link

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