\label{rw:sec:notation}
The table lists notation used in more than one section, with the
place where it is introduced.

\begingroup
\small
\renewcommand{\arraystretch}{1.13}
\begin{longtable}{@{}>{\raggedright\arraybackslash}p{.24\textwidth}
                    >{\raggedright\arraybackslash}p{.72\textwidth}@{}}
\toprule
Notation & Meaning and location \\
\midrule
\endfirsthead
\toprule
Notation & Meaning and location \\
\midrule
\endhead
\bottomrule
\endfoot
\(X,F,\Gamma_F,W_F\) & The original curve, its function field, its
absolute Galois group and its Weil group
(Section~\ref{fl:sec:parameters-parameters}).\\
\(p,q,\ell,k\) & The geometric characteristic, size of the constant
field, coefficient prime, and \(k=\overline{\mathbb Q}_\ell\).\\
\(K_{\rm geom}\) & The characteristic-zero geometric field of the
smooth curve \(C\), distinct from \(k\)
(Section~\ref{fl:sec:punctured-spectral-fibre}).\\
\(\deg_F,d_v\) & Arithmetic Galois degree and the degree of a closed
point \(v\); geometric Frobenius at \(v\) has degree \(-d_v\).\\
\(\operatorname{Fr}_q,\Frob_q\) & The \(q\)-power map of a scheme
and geometric Frobenius acting on sheaf cohomology, respectively.\\
\(G,\widehat G,M,\widehat M\) & The split group, its dual, a Levi
subgroup and the corresponding dual Levi.\\
\(\sigma,\nu_\sigma\) & The prescribed parameter and its character
on excursion data, defined by \eqref{fl:eq:main-full-label}.\\
\(\vartheta_G,\sigma^\dagger\) & The Chevalley involution
preserving the pinning, and \(\vartheta_G\sigma\)
(Section~\ref{fl:sec:parameters-parameters}).\\
\(e=(I,f,\boldsymbol\gamma)\), \(S_e\), \(S_e^{\mathrm{fun}}\) & An
excursion datum, its excursion operator on functions with compact
support, and the transposed operator on all functions
(\cite[Definitions~\xnum{I}{fl:def:weil-excursion-datum}
and~\xnum{I}{fl:def:function-excursion-action}]{HuI}).\\
\(C_0=X\cup_D C_2\) & The curve, geometrically reduced and
Gorenstein, obtained by gluing \(X\) and the auxiliary component
\(C_2\) along the divisor \(D\), which
determines the level of \(\varphi_\sigma\)
(Section~\ref{fl:sec:geometrization}).\\
\(S,\eta,\xi,s\) & The spectrum of a valuation ring of rank two
and its three points (Section~\ref{fl:sec:valued-nodal-family}).\\
\(D_{\rm aux},\rho\) & The additional divisor on the auxiliary
component, and the unramified local system on the smooth proper
curve in characteristic zero
(Setup~\ref{rw:setup:auxiliary-curve}).\\
\(\mathcal E\) & The local system on the smooth locus of the
family of curves over \(S\)
(Lemma~\ref{fl:lem:composed-parameter-gluing}).\\
\(\mathsf e\) & The embedding of quasi-coherent complexes into the
spectral category (Section~\ref{fl:sec:punctured-spectral-fibre}).\\
\(\mathsf{gl}\) & The gluing morphism
\(\Bun_{G,D}(X)\to\Bun_G(C_0)\)
(Proposition~\ref{fl:prop:passive-bundle-restriction}).\\
\(f\) & In an excursion datum \((I,f,\boldsymbol\gamma)\), a
function on \(\widehat G^I\); in
Sections~\ref{fl:sec:noncharacteristic}
and~\ref{fl:sec:conservation}, a test function on a chart.\\
\(I,\ I_{\rm in}\) & A finite set of legs; an inertia group
(Section~\ref{fl:sec:conservation}).\\
\(Z_\rho,\Pi_\rho\) & Centralizer of the geometric
monodromy and its component group
(Section~\ref{fl:sec:punctured-spectral-fibre}).\\
\(\mathfrak F_\rho,P_W\) & The derived fibre of the restriction
to the punctured curve, and the perfect complex
\(\mathcal O_{\mathfrak F_\rho}\otimes W\) on it.\\
\(\mathcal F_P\) & The automorphic sheaf attached to a perfect
complex \(P\) on \(\mathfrak F_\rho\).\\
\(\Delta_Y(\mathcal K)\) & The specialization cone of
\(\mathcal K\) on \(Y\); it vanishes exactly when \(\mathcal K\) is
universally locally acyclic (Section~\ref{fl:sec:noncharacteristic}).\\
\(\mathsf H_{I,V}\), \(\mathsf H_V\) & The Hecke functor attached
to a representation \(V\) of \(\widehat G^I\), with legs in the
smooth locus of the curve; \(\mathsf H_V\) when \(I\) has one
element (Section~\ref{rw:sec:geometric-route}).\\
\(\operatorname{Nilp}\) & The global nilpotent cone in the cotangent
stack of \(\Bun_G\).\\
\(\mu^-\) & The part of the microstalk at the regular nilpotent
point on which \(-1\in\mathbb G_m\) acts by \(-1\)
(Section~\ref{fl:sec:conservation}).\\
\end{longtable}
\endgroup

\medskip
The following terms are introduced in this paper, or are used in a
sense fixed here.

\begingroup
\small
\renewcommand{\arraystretch}{1.13}
\begin{longtable}{@{}>{\raggedright\arraybackslash}p{.42\textwidth}
                    >{\raggedright\arraybackslash}p{.54\textwidth}@{}}
\toprule
Term & Where it is defined \\
\midrule
\endfirsthead
\toprule
Term & Where it is defined \\
\midrule
\endhead
parameter; semisimple; elliptic &
Definition~\ref{fl:def:intro-parameter}\\
excursion summand & Definition~\ref{fl:def:full-excursion-summand}\\
automorphic realization; to realize a parameter &
Section~\ref{rw:sec:II-introduction}, after \eqref{fl:eq:main-full-label}\\
Hecke family; Hecke family with Frobenius &
Definition~\ref{rw:def:hecke-family}\\
test function; specialization cone &
Section~\ref{fl:sec:noncharacteristic}\\
chosen modification & Section~\ref{rw:sec:hecke-geometry}\\
Hecke chart & Definition~\ref{rw:def:hecke-chart}\\
trace datum; matrix coefficient &
Definition~\ref{rw:def:coefficient-functions}\\
correspondence with kernel; its trace and pairing &
Definition~\ref{rw:def:correspondence-kernel}\\
\bottomrule
\end{longtable}
\endgroup