3 problems

Let $q\in\mathbb{Z}$ with $q\geq 2$ and $3\nmid q$. Let $L_{-2+q}(\mathfrak{sl}_2)$ and $L_\mathrm{Vir}(c_{q,3},0)$ be the corresponding strongly rational vertex operator algebras,…

Let $q\in\mathbb{Z}$ with $q\geq 2$ and $3\nmid q$. Consider the strongly rational vertex operator algebras $L_{-2+q}(\mathfrak{sl}_2)$ and $L_\mathrm{Vir}(c_{q,3},0)$, together wi…

Let $\phi:L_F\to{}^LG$ be a tempered Langlands parameter, let $\tilde s\in\tilde S_\phi^{[z]}$ be semisimple, and let $\mathfrak e$ be the associated endoscopic datum. Choose a $z$…