On the arithmetic fundamental lemma conjecture over a general \(p\)-adic field

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Modular and Shimura varieties (14G35)

Cites Work

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On arithmetic fundamental lemmas
Arithmetic theta lifting and \(L\)-derivatives for unitary groups. I
Complex multiplication cycles and Kudla-Rapoport divisors
Special cycles on unitary Shimura varieties. II: Global theory
Fourier transform and the global Gan-Gross-Prasad conjecture for unitary groups
Special cycles on unitary Shimura varieties. I: Unramified local theory
Algebraic cycles on Shimura varieties of orthogonal type
Heegner points and derivatives of \(L\)-series
Arithmetic intersection theory
Central derivatives of Eisenstein series and height pairings
Automorphic Green functions associated with the secondary spherical functions
Regular formal moduli spaces and arithmetic transfer conjectures
Green forms and the arithmetic Siegel-Weil formula
Weil representation and arithmetic fundamental lemma
On Shimura varieties for unitary groups
Fourier-Jacobi cycles and arithmetic relative trace formula
Local constancy of intersection numbers
On the arithmetic fundamental lemma through Lie algebras
Intersection numbers of cycles on locally symmetric spaces and Fourier coefficients of holomorphic modular forms in several complex variables
On two arithmetic theta lifts
Regularized theta lifts for orthogonal groups over totally real fields
The Gross–Kohnen–Zagier theorem over totally real fields
Heights of Projective Varieties and Positive Green Forms
Period Spaces for "p"-divisible Groups (AM-141)
Symplectic local root numbers, central critical L-values, and restriction problems in the representation theory of classical groups
Arithmetic divisors on orthogonal and unitary Shimura varieties
RELATIVE UNITARY RZ-SPACES AND THE ARITHMETIC FUNDAMENTAL LEMMA
Arithmetic diagonal cycles on unitary Shimura varieties
Modular Forms and Special Cycles on Shimura Curves. (AM-161)

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