2 problems

0 votes0 replies0 views
Cuspidal occurrence conjecture for the long-root Langlands quotient of $G_2$
Cuspidal occurrence conjecture. The $\Pi_{F,f}^v$ -isotypic component of the cuspidal spectrum is
Conjectureopenautomorphic-representations cuspidal-spectrum g2arXiv posted 2 days ago
0 votes0 replies0 views
Cuspidal eigenvalue bound for finite-area hyperbolic surfaces
Let $S$ be a finite-area hyperbolic surface of type $(g,n)$ . Denote by $\lambda^c_i(S)$ its $i$ -th cuspidal eigenvalue, and let $\operatorname{sys}(S)$ be its systole. Cuspidal eig…
Conjectureopencuspidal-spectrum hyperbolic-surfaces spectral-geometryarXiv posted 2 days ago

Cuspidal occurrence conjecture for the long-root Langlands quotient of G2G_2G2​