5 problems

Let $\Sigma$ be a compact oriented $2$-manifold and let $G$ be a semisimple group, with Langlands dual group $G^{\vee}$. Let…

Let $M$ be a Seifert-fibred $3$-manifold, let $G$ be a semisimple group, and for $n>0$ let $\Sigma_{\mathrm{orb},M}^{[n]}$ be the quotient of $M$ by the $S^1$-action composed with…

Let $G$ be a reductive group, and let $G\operatorname{-cat}^{pot}$ denote its 2-category of potent categorical representations. A 2-category is 2-dualizable and 2-orientable when i…

Safronov's conjecture. There is a natural isomorphism

Let $Q=(I,\Omega)$ be a quiver, let $\mathcal{M}_{s,\alpha}$ be the associated multiplicative quiver stack over $\mathbb{F}_q$, and define the class function…