Spherical Shalika models on PGU2,2 and the theta correspondence for (PGSp4, PGU2,2)
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Antonio Cauchi
und
Armando Gutierrez Terradillos
Abstract
We study Shalika models for generic unramified representations of
Funding source: Natural Sciences and Engineering Research Council of Canada
Award Identifier / Grant number: RGPIN-2018-04392
Funding source: European Research Council
Award Identifier / Grant number: 682152
Funding statement: Antonio Cauchi’s research in this publication was conducted with the financial support of the NSERC grant RGPIN-2018-04392 and Concordia Horizon postdoc fellowship n.8009, of the JSPS Postdoctoral Fellowship for Research in Japan, and of Taighde Éireann – Research Ireland under Grant number IRCLA/2023/849 (HighCritical). Armando Gutierrez Terradillos was supported by the Morningside Center of Mathematics (CAS). Both authors were also supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No. 682152).
Acknowledgements
The project started when the two authors were both working at the Universitat Politecnica de Catalunya; we thus kindly thank Victor Rotger for his support. We are indebted to Wee Teck Gan, who explained to us how to prove uniqueness of Shalika models by means of the local theta correspondence. The first named author would also like to thank Patrick Allen, Mathilde Gerbelli-Gauthier, Aaron Pollack, Martí Roset Julià, and Giovanni Rosso for discussions related to this project. Finally, we would like to thank the anonymous referee for the valuable corrections and comments that helped us to considerably improve this article.
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© 2025 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- L 2-exponential ergodicity of stochastic Hamiltonian systems with α-stable Lévy noises
- A bridge between convexity and quasiconvexity
- Spherical characters in families: The unitary Gan–Gross–Prasad case
- Key subgroups in topological groups
- Eisenstein series modulo p 2
- On integral aspects of Asai periods and Euler systems for Res E/ℚGL2
- Spherical Shalika models on PGU2,2 and the theta correspondence for (PGSp4, PGU2,2)
- On Stein spaces with finite homotopy rank-sum
- Harish-Chandra theorem for two-parameter quantum groups
- Graphs represented by Ext
- The 3D incompressible anisotropic magnetic Bénard system with fractional partial dissipation
- The L 2-unique continuation property on manifolds with bounded geometry and the deformation operator
- A characterization of unitarity of some highest weight Harish-Chandra modules
- Space-time estimate for the perturbed linear elastic wave equations exterior to a ball with radial data and its application
Artikel in diesem Heft
- Frontmatter
- L 2-exponential ergodicity of stochastic Hamiltonian systems with α-stable Lévy noises
- A bridge between convexity and quasiconvexity
- Spherical characters in families: The unitary Gan–Gross–Prasad case
- Key subgroups in topological groups
- Eisenstein series modulo p 2
- On integral aspects of Asai periods and Euler systems for Res E/ℚGL2
- Spherical Shalika models on PGU2,2 and the theta correspondence for (PGSp4, PGU2,2)
- On Stein spaces with finite homotopy rank-sum
- Harish-Chandra theorem for two-parameter quantum groups
- Graphs represented by Ext
- The 3D incompressible anisotropic magnetic Bénard system with fractional partial dissipation
- The L 2-unique continuation property on manifolds with bounded geometry and the deformation operator
- A characterization of unitarity of some highest weight Harish-Chandra modules
- Space-time estimate for the perturbed linear elastic wave equations exterior to a ball with radial data and its application
