Timeline for $\DeclareMathOperator\SL{SL}$Multiplicities of irreducible representations in discrete part of $L^2(\SL(2,\mathbb{Z})\backslash{\SL(2,\mathbb R)})$

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Jan 8, 2022 at 21:26	comment	added	GH from MO		@JunYang No. Even when $\Gamma$ is a co-compact subgroup of $G=\mathrm{SL}_2(\mathbb{R})$, the Laplace eigenvalues occurring in $L^2_{\text{cusp}}(\Gamma\backslash G)$ are elusive (e.g. difficult to compute). In fact the "transcendental nature" of the Laplace eigenvalues (and of Hecke eigenvalues) is one of the attractive features in the subject (at least to me). We cannot put our hands on these eigenvalues directly, hence they are more mysterious, more interesting.
Jan 8, 2022 at 21:03	comment	added	Jun Yang		Thank you! Are the $m_{\pi}$'s known when $\Gamma\backslash G$ is compact?
Jan 8, 2022 at 21:02	vote	accept	Jun Yang
Jan 8, 2022 at 10:41	history	edited	GH from MO	CC BY-SA 4.0	deleted 1 character in body
Jan 8, 2022 at 10:18	history	edited	GH from MO	CC BY-SA 4.0	added 272 characters in body
Jan 8, 2022 at 10:07	history	answered	GH from MO	CC BY-SA 4.0