Purity conjecture for spectra of arithmetic actions of SO∘(n,1)\mathrm{SO}^\circ(n,1)SO∘(n,1)
Let H⊂GLd(R)H\subset \operatorname{GL}_d(\mathbb{R})H⊂GLd(R) be a semisimple real algebraic group defined over Q\mathbb{Q}Q, let…