Local newforms for GSp(4)
By B. Roberts, Ralf Schmidt. 2007
210 citations recorded by the source corpus.
Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/26c92e467912d05e45f8a58bbf651ecf052bf8ce
How researchers see this paper
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In Discrete Mathematics and Combinatorics
- W. Gan
- Shuichiro Takeda
- Ralf Schmidt
- Atsushi Ichino
- C. Skinner
- David Loeffler
- Sarah Livia Zerbes
- V. Pilloni
In Geometry and Topology
- W. Gan
- Ralf Schmidt
- Shuichiro Takeda
- Sarah Livia Zerbes
- David Loeffler
- C. Skinner
- T. Gee
- Atsushi Ichino
In Mathematical Physics
- W. Gan
- Ralf Schmidt
- Shuichiro Takeda
- Sarah Livia Zerbes
- David Loeffler
- Atsushi Ichino
- C. Skinner
- T. Gee
Citations in the corpus
- On endoscopy and the refined Gross–Prasad conjecture for (SO5, SO4) (2010, background): “Again, we refer the reader to [50] for the reducibility points and module structure of IB(χ1, χ2; χ).”
- Euler systems for GSp(4) (2017, methodology): “We follow the notations of [RS07] for representations of G`.”
- The Local Langlands Conjecture for GSp(4) (2007, methodology): “y JQ(Z)(χ,τ). The same notation applies to other principal series representations to be introduced later. The module structure of IQ(Z)(χ,τ) is known by Sally-Tadic [ST] and a convenient reference is [RS]. In particular, we note the following: Lemma 9.1. (a) Let τbe a supercuspidal representation of”
- Abelian surfaces over totally real fields are potentially modular (2018, background): “We would also like to thank Patrick Allen, Kevin Buzzard, Brian Conrad, Matthew Emerton, Dick Gross, Robert Guralnick, Florian Herzig, Christian Johansson, Keerthi Madapusi Pera, Rutger Noot, Madhav Nori, Ralf Schmidt, Olivier Taïbi, Richard Taylor, Jack Thorne, Andrew Wiles, and Liang Xiao for help”
- Transfer of Siegel Cusp Forms of Degree 2 (2011, unknown): “7 of [70].”
- Paramodular Abelian Varieties of Odd Conductor (2010, background): “In [48], newforms on K(N) are defined as Hecke eigenforms perpendicular to the images of operators from paramodular forms on lower levels.”
- Packet structure and paramodular forms (2017, background): “4 of [19] and summarized in Appendix A; it is here that we are using the fact that the packets of [2] coincide with the packets of [9], and thus with those of [19] in the non-supercuspidal cases.”