5 problems

Vanishing Klein–Gordon norm conjecture. In the discrete series case $\tau=-p-2$ with $L<p$, the Klein–Gordon norm $\|A_{c_2}\|^2$ vanishes, just as $\|A_{c_1}\|^2$ does. The conjec…

Toeplitz-factorization conjecture. One has

Let $G$ be a semisimple Lie group with a unitary, possibly projective, discrete-series representation $\pi$ on a Hilbert space $H$. Assume that the restriction $\pi|_\Gamma$ to a l…

Weak continuity conjecture. A generic family $\delta$ of irreducible discrete series characters has weakly continuous limits to every point $k\in\overline{U}$.

Generic central character conjecture.