Limit multiplicities for ${\mathrm{SL}}_2({\mathcal{O}}_F)$ in ${\mathrm{SL}}_2({\mathbb{R}}^{r_1}\oplus {\mathbb{C}}^{r_2})$

Abstract

We prove that the family of lattices ${\mathrm{SL}}_2({\mathcal{O}}_F)$, $F$ running over number fields with fixed archimedean signature $(r_1,r_2)$, in ${\mathrm{SL}}_2({\mathbb{R}}^{r_1}\oplus {\mathbb{C}}^{r_2})$ has the limit multiplicity property.

33 pages

References in corpus (3)

• Sato-Tate equidistribution for families of Hecke-Maass forms on SL(n,R)/SO(n)
• Strong Limit Multiplicity for arithmetic hyperbolic surfaces and $3$-manifolds
• Asymptotic behavior of supercuspidal representations and Sato-Tate equidistribution for families

Cited by in corpus (1)

• Strong Limit Multiplicity for arithmetic hyperbolic surfaces and $3$-manifolds