Special cycles, modularity and arithmetic intersection · Question 3
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.
Problem statement
In recent proof of Kudla-Rapoport conjectures by Li--Zhang, numerical local modularity results for local Kudla--Rapoport divisors have been discovered and proved. Is it possible to formulate local modularity geometrically e.g. using moduli of p-adic Shtukas? Could the method of Feng-Yun-Zhang for global modularity be adapted to prove geometric local modularity?
Lean 4
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- [1]Arithmetic intersection theory on Shimura varieties link
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