Fourier transform and the global Gan–Gross–Prasad conjecture for unitary groups

By Wei Zhang. 2014

118 citations recorded by the source corpus.

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

View Paper: https://www.semanticscholar.org/paper/47791456df7cc88481557197af8f564e3e9b3e26

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. Chong-Quan Zhang
2. Chao Li
3. Wei Zhang
4. Wei Zhang
5. H. Grobner
6. Michael Harris

In Geometry and Topology

1. Chong-Quan Zhang
2. Chao Li
3. Wei Zhang
4. Wei Zhang
5. C. Skinner

In Mathematical Physics

1. Chong-Quan Zhang
2. Chao Li
3. Wei Zhang
4. Wei Zhang
5. H. Grobner
6. C. Skinner
7. Michael Harris

Citations in the corpus

• WHITTAKER PERIODS, MOTIVIC PERIODS, AND SPECIAL VALUES OF TENSOR PRODUCT $L$ -FUNCTIONS (2013, unknown): “15 of [45] to obtain an automorphic representation π of H , whose archimedean component is μ∞ and whose p-component is supercuspidal (a twist of μp), for which there exist φ ∈ π and φ ∈ π such that P (φ, φ) 6= 0.”
• On linear periods (2013, methodology): “However, we could not follow [28] for the rest of the proof, since the absence of a suitable partial Fourier transform in our situation meant that the inductive arguments in [28, §4] could not be applied.”
• Automorphic period and the central value of Rankin--Selberg L-function (2012, methodology): “ocal character expansion in the general linear group case 53 9. Local character expansion in the unitary group case 67 Acknowledgement 71 References 71 1. Introduction In this article, as a sequel of [51], we prove a conjectural refinement of the global Gan–Gross–Prasad conjecture ([7]) for unitary g”
• Kudla-Rapoport cycles and derivatives of local densities (2019, result): “cycles. In other similar (non-arithmetic) situations, induction arguments involving Fourier transforms and the uncertainty principle are not unfamiliar: here we only mention the second author’s proof [Zha14] of the Jacquet–Rallis smooth transfer conjecture, and more recently Beuzart-Plessis’ new pro”
• On arithmetic fundamental lemmas (2012, background): “See [29] for an explicit construction of a transfer factor.”
• The orbit method and analysis of automorphic forms (2018, unknown): “, [106]), then”