An arithmetic intersection conjecture

2018/08/21 by Brian D. Smithling, Smithling, Brian
Mathematics · #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Number Theory (math.NT) #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1808.07084

openalex publication_date 2018/08/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We survey recent joint work with M. Rapoport and W. Zhang related to the arithmetic Gan-Gross-Prasad conjecture for Shimura varieties attached to unitary groups.

Citations

• Symplectic local root numbers, central critical L-values, and restriction problems in the representation theory of classical groups

Related

• Arithmetic diagonal cycles on unitary Shimura varieties
• Arithmetic Gan-Gross-Prasad conjecture for RSZ unitary Shimura curves
• On Shimura varieties for unitary groups
• Modularity of generating series of divisors on unitary Shimura varieties II: arithmetic applications
• Special cycles on unitary Shimura varieties II: global theory