A regularized Siegel-Weil formula for unitary groups

By Atsushi Ichino. 2004

64 citations recorded by the source corpus.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/a4c294c9c745066d6648327bb0283a7cd6ff8f88

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In Discrete Mathematics and Combinatorics

1. W. Gan
2. Shuichiro Takeda
3. Michael Rapoport
4. S. Kudla
5. Yannan Qiu
6. Abhishek Saha
7. Ameya Pitale
8. Ralf Schmidt

In Geometry and Topology

1. W. Gan
2. Ralf Schmidt
3. S. Kudla
4. Michael Rapoport
5. Shuichiro Takeda
6. Abhishek Saha
7. Ameya Pitale
8. Yannan Qiu

In Mathematical Physics

1. W. Gan
2. Shuichiro Takeda
3. Ralf Schmidt
4. Michael Rapoport
5. S. Kudla
6. Yannan Qiu
7. Abhishek Saha
8. Ameya Pitale

Citations in the corpus

• The regularized Siegel–Weil formula (the second term identity) and the Rallis inner product formula (2012, methodology): “This agrees with the convention used in [12–15,20,21,57] when Hr = O1,1, but the convention is different in the O1,1 case.”
• Transfer of Siegel Cusp Forms of Degree 2 (2011, methodology): “As described in [26], there is a Weil representation ωQ = ωQ,ψ,χ of G3(A) × U(V )(A) acting on the Schwartz space S(V 3(A)).”
• Special cycles on unitary Shimura varieties II: global theory (2009, methodology): “For general factorizable ϕ = ⊗vϕv ∈ S(V (A)n), Ichino obtains IT (h;ϕ) = 1 2 L(1, χ)−1 ∏ v λ−1v ∫ ΩT (Qv) ω(hv)ϕv(x) dµT,v(x), 6This is called the analytic genus invariant in Siegel [58] and Braun [5]. where the convergence factors are λ−1v = Lv(1, χv), (8.1) and where ΩT (Qv) is the set of Qv-point”