3 problems

0 votes0 replies0 views
Arthur's temperedness conjecture for non-CAP cuspidal automorphic representations
Let $\Pi$ be a cuspidal automorphic representation of $G_0$ or $G$ . It is CAP relative to a parabolic $P$ if it is weakly equivalent to constituents of an induced representation fr…
Conjectureopenautomorphic-representations temperednessarXiv posted 2 days ago
0 votes0 replies1 view
The archimedean Ramanujan–Selberg conjecture for cusp forms on $SL_3(\mathbb{Z})$
A cusp form on $SL_3(\mathbb{Z})\backslash \mathcal{H}$ has Langlands parameters $\{\ell_1,\ell_2,\ell_3\}$ satisfying $\ell_1+\ell_2+\ell_3=0$ . It is tempered when each…
Conjectureopenautomorphic-forms sl3 temperednessarXiv posted 2 days ago
0 votes0 replies0 views
Kim–Minsky–Oh's conjecture on the growth indicator of higher-rank Anosov subgroups
Let $G$ subset be a higher rank semisimple real algebraic group and let $\Gamma$ be an Anosov subgroup of $G$ . Denote by $\psi_\Gamma$ its growth indicator and by $\rho$ the half-su…
Conjectureopenanosov-subgroups higher-rank-groups temperednessarXiv posted 2 days ago

Arthur's temperedness conjecture for non-CAP cuspidal automorphic representations