A coarse geometric expansion of a variant of Arthur's truncated traces and some applications
Yu H. 2022. A coarse geometric expansion of a variant of Arthur’s truncated traces and some applications. Pacific Journal of Mathematics. 321(1), 193–237.
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Abstract
Let F be a global function field with constant field Fq. Let G be a reductive group over Fq. We establish a variant of Arthur's truncated kernel for G and for its Lie algebra which generalizes Arthur's original construction. We establish a coarse geometric expansion for our variant truncation.
As applications, we consider some existence and uniqueness problems of some cuspidal automorphic representations for the functions field of the projective line P1Fq with two points of ramifications.
Publishing Year
Date Published
2022-08-29
Journal Title
Pacific Journal of Mathematics
Publisher
Mathematical Sciences Publishers
Acknowledgement
I’d like to thank Prof. Chaudouard for introducing me to this area. I’d like to thank Prof. Harris for asking me the question that makes Section 10 possible. I’m grateful for the support of Prof. Hausel and IST Austria. The author was funded by an ISTplus fellowship: This project has received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement No. 754411.
Volume
321
Issue
1
Page
193-237
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eISSN
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Cite this
Yu H. A coarse geometric expansion of a variant of Arthur’s truncated traces and some applications. Pacific Journal of Mathematics. 2022;321(1):193-237. doi:10.2140/pjm.2022.321.193
Yu, H. (2022). A coarse geometric expansion of a variant of Arthur’s truncated traces and some applications. Pacific Journal of Mathematics. Mathematical Sciences Publishers. https://doi.org/10.2140/pjm.2022.321.193
Yu, Hongjie. “ A Coarse Geometric Expansion of a Variant of Arthur’s Truncated Traces and Some Applications.” Pacific Journal of Mathematics. Mathematical Sciences Publishers, 2022. https://doi.org/10.2140/pjm.2022.321.193.
H. Yu, “ A coarse geometric expansion of a variant of Arthur’s truncated traces and some applications,” Pacific Journal of Mathematics, vol. 321, no. 1. Mathematical Sciences Publishers, pp. 193–237, 2022.
Yu H. 2022. A coarse geometric expansion of a variant of Arthur’s truncated traces and some applications. Pacific Journal of Mathematics. 321(1), 193–237.
Yu, Hongjie. “ A Coarse Geometric Expansion of a Variant of Arthur’s Truncated Traces and Some Applications.” Pacific Journal of Mathematics, vol. 321, no. 1, Mathematical Sciences Publishers, 2022, pp. 193–237, doi:10.2140/pjm.2022.321.193.
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