On endoscopy and the refined Gross–Prasad conjecture for (SO5, SO4)

By W. Gan, Atsushi Ichino. Journal of the Institute of Mathematics of Jussieu, 2010

62 citations recorded by the source corpus.

Subfields: Discrete Mathematics and Combinatorics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/8e66c278d9e2588969edf8031393496211f4ba66

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Discrete Mathematics and Combinatorics

1. Wei Zhang
2. Shuichiro Takeda
3. Yannan Qiu
4. W. Gan
5. Chong-Quan Zhang
6. Michael Harris
7. H. Grobner

In Mathematical Physics

1. W. Gan
2. Shuichiro Takeda
3. Wei Zhang
4. Yannan Qiu
5. Ralf Schmidt
6. Hiraku Atobe
7. Atsushi Ichino
8. C. Skinner

Citations in the corpus

• The regularized Siegel–Weil formula (the second term identity) and the Rallis inner product formula (2012, methodology): “For example, it was used in the proof of cases of the refined Gross-Prasad conjecture in [2], [8] and [40].”
• Fourier transform and the global Gan–Gross–Prasad conjecture for unitary groups (2014, unknown): “In the lower rank cases, a lot of work has been done on the global Gan–Gross–Prasad conjecture for orthogonal groups: the work of Waldspurger on SOp2q ˆ SOp3q ([50]), the work of Garrett ([16]), Piatetski-Shapiro–Rallis, Garret–Harris, Harris–Kudla ([27]), Gross–Kudla ([20]), and Ichino ([30]) on th”
• Automorphic period and the central value of Rankin--Selberg L-function (2012, background): “Ichino and Ikeda first consider the following integration of the matrix coefficient: for φv, ϕv ∈ πv, we define when πv is tempered, αv(φv, ϕv) = ∫ Hv 〈πv(h)φv, ϕv〉v dh, Hv = H(Fv).”