---
_id: '12793'
abstract:
- lang: eng
  text: "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.\r\nAs 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."
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.'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Hongjie
  full_name: Yu, Hongjie
  id: 3D7DD9BE-F248-11E8-B48F-1D18A9856A87
  last_name: Yu
  orcid: 0000-0001-5128-7126
citation:
  ama: Yu H.  A coarse geometric expansion of a variant of Arthur’s truncated traces
    and some applications. <i>Pacific Journal of Mathematics</i>. 2022;321(1):193-237.
    doi:<a href="https://doi.org/10.2140/pjm.2022.321.193">10.2140/pjm.2022.321.193</a>
  apa: Yu, H. (2022).  A coarse geometric expansion of a variant of Arthur’s truncated
    traces and some applications. <i>Pacific Journal of Mathematics</i>. Mathematical
    Sciences Publishers. <a href="https://doi.org/10.2140/pjm.2022.321.193">https://doi.org/10.2140/pjm.2022.321.193</a>
  chicago: Yu, Hongjie. “ A Coarse Geometric Expansion of a Variant of Arthur’s Truncated
    Traces and Some Applications.” <i>Pacific Journal of Mathematics</i>. Mathematical
    Sciences Publishers, 2022. <a href="https://doi.org/10.2140/pjm.2022.321.193">https://doi.org/10.2140/pjm.2022.321.193</a>.
  ieee: H. Yu, “ A coarse geometric expansion of a variant of Arthur’s truncated traces
    and some applications,” <i>Pacific Journal of Mathematics</i>, vol. 321, no. 1.
    Mathematical Sciences Publishers, pp. 193–237, 2022.
  ista: 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.
  mla: Yu, Hongjie. “ A Coarse Geometric Expansion of a Variant of Arthur’s Truncated
    Traces and Some Applications.” <i>Pacific Journal of Mathematics</i>, vol. 321,
    no. 1, Mathematical Sciences Publishers, 2022, pp. 193–237, doi:<a href="https://doi.org/10.2140/pjm.2022.321.193">10.2140/pjm.2022.321.193</a>.
  short: H. Yu, Pacific Journal of Mathematics 321 (2022) 193–237.
date_created: 2023-04-02T22:01:11Z
date_published: 2022-08-29T00:00:00Z
date_updated: 2023-08-04T10:42:38Z
day: '29'
department:
- _id: TaHa
doi: 10.2140/pjm.2022.321.193
ec_funded: 1
external_id:
  arxiv:
  - '2109.10245'
  isi:
  - '000954466300006'
intvolume: '       321'
isi: 1
issue: '1'
keyword:
- Arthur–Selberg trace formula
- cuspidal automorphic representations
- global function fields
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2109.10245
month: '08'
oa: 1
oa_version: Preprint
page: 193-237
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '754411'
  name: ISTplus - Postdoctoral Fellowships
publication: Pacific Journal of Mathematics
publication_identifier:
  eissn:
  - 1945-5844
  issn:
  - 0030-8730
publication_status: published
publisher: Mathematical Sciences Publishers
quality_controlled: '1'
scopus_import: '1'
status: public
title: ' A coarse geometric expansion of a variant of Arthur''s truncated traces and
  some applications'
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 321
year: '2022'
...