\begin{thebibliography}{{Ope}26b}

\bibitem[II]{HuII}
B.~Hu.
\newblock Automorphic realization of {L}anglands parameters for split groups
  over global function fields, {II}: {T}he geometric construction.
\newblock Preprint, 2026.

\bibitem[III]{HuIII}
B.~Hu.
\newblock Automorphic realization of {L}anglands parameters for split groups
  over global function fields, {III}: {C}lassical groups.
\newblock Preprint, 2026.

\bibitem[BHKT19]{BHKT2019}
G.~B{\"o}ckle, M.~Harris, C.~Khare, and J.~A. Thorne.
\newblock {$\hat G$}-local systems on smooth projective curves are potentially
  automorphic.
\newblock {\em Acta Mathematica}, 223(1):1--111, 2019.

\bibitem[BL24]{G2BernsteinLapid24}
J.~Bernstein and E.~Lapid.
\newblock On the meromorphic continuation of {Eisenstein} series.
\newblock {\em Journal of the American Mathematical Society}, 37(1):187--234,
  2024.

\bibitem[BMR05]{BMR2005}
M.~Bate, B.~Martin, and G.~R{\"o}hrle.
\newblock A geometric approach to complete reducibility.
\newblock {\em Inventiones Mathematicae}, 161(1):177--218, 2005.
\newblock arXiv:math/0408109.

\bibitem[Car79]{Cartier1979}
P.~Cartier.
\newblock Representations of {$p$}-adic groups: a survey.
\newblock In {\em Automorphic forms, representations and {$L$}-functions
  ({C}orvallis, 1977), {P}art 1}, volume~33 of {\em Proc. Sympos. Pure Math.},
  pages 111--155. Amer. Math. Soc., Providence, RI, 1979.

\bibitem[CF67]{CasselsFrohlich}
J.~W.~S. Cassels and A.~Fr{\"o}hlich, editors.
\newblock {\em Algebraic Number Theory}.
\newblock Academic Press, London, 1967.

\bibitem[Con]{ConradCompactSubgroups}
K.~Conrad.
\newblock {Compact subgroups of $\mathrm{GL}_n(\overline{\mathbb Q}_p)$}.
\newblock Expository note.
\newblock \url{https://kconrad.math.uconn.edu/blurbs/gradnumthy/GLnQpbar.pdf}.

\bibitem[GR25]{GR2025}
D.~Gaitsgory and S.~Raskin.
\newblock Geometric {Langlands} in positive characteristic from characteristic
  zero.
\newblock G\'eom\'etrie Alg\'ebrique et Programme de {Langlands}, un volume en
  l'honneur de {G\'erard Laumon}, electronic publication, 2025.
\newblock arXiv:2508.02237v1.

\bibitem[GRS99]{GRS1999}
D.~Ginzburg, S.~Rallis, and D.~Soudry.
\newblock On explicit lifts of cusp forms from {$\mathrm{GL}_m$} to classical
  groups.
\newblock {\em Annals of Mathematics}, 150(3):807--866, 1999.

\bibitem[GRS11]{GRS2011}
D.~Ginzburg, S.~Rallis, and D.~Soudry.
\newblock {\em The Descent Map from Automorphic Representations of
  {$\mathrm{GL}(n)$} to Classical Groups}.
\newblock World Scientific, 2011.

\bibitem[HLR24]{HLRNormality}
T.~J. Haines, J.~Louren{\c c}o, and T.~Richarz.
\newblock On the normality of {Schubert} varieties: remaining cases in positive
  characteristic.
\newblock {\em Annales Scientifiques de l'{\'E}cole Normale Sup{\'e}rieure},
  57(3):895--959, 2024.
\newblock arXiv:1806.11001.

\bibitem[Laf02]{LLa02}
L.~Lafforgue.
\newblock Chtoucas de {Drinfeld} et correspondance de {Langlands}.
\newblock {\em Inventiones Mathematicae}, 147(1):1--241, 2002.

\bibitem[Laf18]{VLa18}
V.~Lafforgue.
\newblock Chtoucas pour les groupes r{\'e}ductifs et param{\'e}trisation de
  {Langlands} globale.
\newblock {\em Journal of the American Mathematical Society}, 31(3):719--891,
  2018.
\newblock arXiv:1209.5352v10.

\bibitem[Lau76]{Laumon1976}
G.~Laumon.
\newblock Homologie \'etale.
\newblock {\em Ast\'erisque}, 36--37:163--188, 1976.

\bibitem[Li19]{Li19}
W.-W. Li.
\newblock Contragredient representations over local fields of positive
  characteristic.
\newblock {\em Algebra \& Number Theory}, 13(5):1197--1242, 2019.

\bibitem[Lom09]{Lomeli2009}
L.~A. Lomel{\'i}.
\newblock Functoriality for the classical groups over function fields.
\newblock {\em International Mathematics Research Notices},
  2009(22):4271--4335, 2009.

\bibitem[Lom19]{Lomeli19}
L.~A. Lomel\'i.
\newblock Rationality and holomorphy of {Langlands--Shahidi} {$L$}-functions
  over function fields.
\newblock {\em Mathematische Zeitschrift}, 291:711--739, 2019.
\newblock arXiv:1505.06043v3.

\bibitem[Mor82]{Morris1982}
L.~E. Morris.
\newblock {Eisenstein} series for reductive groups over global function fields.
  {I}. {T}he cusp form case.
\newblock {\em Canadian Journal of Mathematics}, 34(1):91--168, 1982.

\bibitem[MV07]{MV2007}
I.~Mirkovi\'c and K.~Vilonen.
\newblock Geometric {Langlands} duality and representations of algebraic groups
  over commutative rings.
\newblock {\em Annals of Mathematics}, 166:95--143, 2007.

\bibitem[MV18]{MVErratum2018}
I.~Mirkovi\'c and K.~Vilonen.
\newblock Erratum for ``geometric {Langlands} duality and representations of
  algebraic groups over commutative rings''.
\newblock {\em Annals of Mathematics}, 188:1017--1018, 2018.

\bibitem[{Ope}26a]{OpenAIConstructible2026}
{OpenAI}.
\newblock Constructible tame {Hecke} eigensheaves in positive characteristic.
\newblock Preprint, \url{https://github.com/openai/math}, 2026.

\bibitem[{Ope}26b]{OpenAIFrobenius2026}
{OpenAI}.
\newblock {Frobenius} structures on tame {Hecke} eigensheaves.
\newblock Preprint, \url{https://github.com/openai/math}, 2026.

\bibitem[{Ope}26c]{OpenAIRestricted2026}
{OpenAI}.
\newblock The restricted geometric {Langlands} equivalence in positive
  characteristic.
\newblock Preprint, \url{https://github.com/openai/math}, 2026.

\bibitem[Ral84]{Rallis1984}
S.~Rallis.
\newblock On the {Howe} duality conjecture.
\newblock {\em Compositio Mathematica}, 51(3):333--399, 1984.

\bibitem[{The}26]{StacksProject}
{The Stacks Project Authors}.
\newblock The {Stacks Project}, 2026.
\newblock \url{https://stacks.math.columbia.edu/}.

\bibitem[Xue20a]{XueCusp2020}
C.~Xue.
\newblock Cuspidal cohomology of stacks of shtukas.
\newblock {\em Compositio Mathematica}, 156(6):1079--1151, 2020.

\bibitem[Xue20b]{XueHecke2020}
C.~Xue.
\newblock Finiteness of cohomology groups of stacks of shtukas as modules over
  {Hecke} algebras, and applications.
\newblock {\em \'{E}pijournal de G\'eom\'etrie Alg\'ebrique}, 4:Article 6,
  2020.

\bibitem[Xue20c]{XueSmoothCoh2020}
C.~Xue.
\newblock Smoothness of cohomology sheaves of stacks of shtukas, 2020.
\newblock Version 1. arXiv:2012.12833.

\bibitem[Xue23]{XueIntegral2023}
C.~Xue.
\newblock Cohomology with integral coefficients of stacks of shtukas, 2023.
\newblock All references are to the numbering of version~2 of 30 August 2023.
  arXiv:2001.05805v2.

\bibitem[Zhu17]{Zhu2017}
X.~Zhu.
\newblock An introduction to affine {Grassmannians} and the geometric {Satake}
  equivalence.
\newblock In {\em Geometry of Moduli Spaces and Representation Theory},
  volume~24 of {\em IAS/Park City Mathematics Series}, pages 59--154. American
  Mathematical Society, Providence, RI, 2017.
\newblock arXiv:1603.05593.

\bibitem[Zyw13]{Zywina2013}
D.~Zywina.
\newblock Explicit class field theory for global function fields.
\newblock {\em Journal of Number Theory}, 133:1062--1078, 2013.

\end{thebibliography}